Page 93 - WCS - Electrical
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4 Convert 23 25’ 32” into radians
                              0
                                                                                                   4
                                                                                 4
                                                                                             180
                                                                                                 x
                                                                                   π radian =
                                                                                                    π degree
                     We know 1 = 60’ = 3600”
                              0
                                                                                               π
                                                                                                   7
                                                                                 7
                  4 Convert 23
                                0 25’ 32” into radians
                              0
                     Therefore  23 25’32”
                                                                                 4
                                                                                                   4
                                                                                             180
                                                                                            = 102.9 degree
                                                                                                 x
                                                                                   π radian =
                                                                                                    π degree
                     We know 1 = 60’ = 3600”
                              0
                                                                                                 0   7
                                                                                               π
                                                                                 7
                                                                                            = 102 0.9 x 60’
                                             25
                                                   32 ⎞

                                         23
                                                        degrees
                                                +
                     Therefore  23 25’32”
                                            +
                                                          ⎟
                                      =
                                0
                                                                                            = 102.9 degree
                                                                                            = 102 54’
                                                                                                0
                                             60
                                                  3600 ⎠
                                                                                            = 102 0.9 x 60’
                                                                                                 0
                                        82800+ 25
                                                   32
                                                      32 ⎞
                                               1500+
                                      = 23

                                                          ⎟
                                                        degrees
                                      =
                                            +
                                                +
                                                                                            = 102 54’
                                                                                                0
                                             60
                                              3600 3600 ⎠
                                                                                              180
                                                                                                   degree
                                                                                   1 radian =
                                                                       8 Convert 0.8357 radian into degrees
                                        82800
                                                      32
                                        84332 1500++
                                                                                               π
                                      = =
                                                                                              180
                                                                                             180
                                                                                                   degree
                                                                                   1 radian =
                                        84332
                             But 180
                                                                                               π
                                      = π radians
                                    0
                                                                              0.8357 radian =  π x 0.8357 degree
                                      =
                                         3600
                  Therefore 23.4255 degrees
                                                                                             180
                                                                                            = 47.88
                                                                                                  0
                                      = π radians
                             But 180
                                    0
                                                                              0.8357 radian =
                                                                                               0 π x 0.8357 degree
                                        23.4255
                                                                                            = 47  0.88 x 60’
                                                  radians
                                      =
                                                   π
                  Therefore 23.4255 degrees
                                          180
                                                                                            = 47.88
                                                                                            = 47 52.80’
                                                                                                  0
                                                                                               0
                                        23.4255
                                        23.4255
                                                                                            = 47  0.88 x 60’
                                                                                            = 47 52’0.8 x 60”
                                                                                               0  0
                                                x  radians  π
                                                  7
                                          180
                                          180
                                                                                            = 47 52.80’
                                                                                            = 47 52’48”
                                                                                               0  0
                                        23.4255
                                      = 0.4089 radians
                                                  22
                                                                                            = 47 52’0.8 x 60”
                                                                                               0
                                                    radians
                   4 Convert 23 25’ 32” into radians  x
                                                                       9 Convert 2.752 radian into degrees
                                0
                                                                                   4
                                                                                                    4
                                                                                               180
                                                  7
                                          180
                  5 Convert 87 19’ 57” into Radian.
                              0
                                                                                    π radian =  52’48”
                                                                                            = 47
                                                                                                   x
                                                                                                      π degree
                                                                                               0
                      We know 1 = 60’ = 3600”
                                0
                                                                                                    7
                                                                                   7
                                                                                             180 π
                                      = 0.4089 radians
                                                                                  1 Radian =
                                                                                                 degree
                                             5
                                              7′
                   4 Convert 23
                                                                       9 Convert 2.752 radian into degrees
                                 0 25’ 32” into radians
                                0
                      Therefore  23 25’32”
                                                                                   4
                                                                                                    4
                                                                                               π 180
                                                                                             = 102.9 degree
                                19’57” = 19’ +
                  5 Convert 87 19’ 57” into Radian.
                              0
                                                                                                   x
                                             60
                                                                                                      π degree
                                                                                    π radian =
                      We know 1 = 60’ = 3600”
                                0
                                                                                   7
                                                                                                  0   7
                                                                                             180 π
                                                                                             = 102 0.9 x 60’
                                                                                              180
                                          ⎛
                                                                                  1 Radian =
                                               25
                                                     32 ⎞
                                                                                                 degree
                                              7′
                                             5
                                                                              2.7520 radian =
                                      = 19’ + 0.95’
                                                                                                   x 2.752 degree
                                          23
                                              +

                                                  +
                                                          degrees
                                                                                               π
                                          ⎜
                                                            ⎟
                      Therefore  23 25’32”   = =   = ⎛ ⎜ ⎝ ⎛ ⎜ ⎝ = 3600 3600 22     radians  8 Convert 0.8357 radian into degrees
                                 0
                                                                                             = 102.9 degree
                                19’57” = 19’ +
                                                                                               π
                                                                                             = 102 54’
                                                                                                  0
                                               60
                                          ⎝
                                      = 19.95’ 60  3600 ⎠                                   = 157.7 0.9 x 60’
                                                                                             = 102
                                                                                              180
                                                                                                  0 0
                                                     32
                                          82800+ 25
                                          ⎛
                                                                                                   x 2.752 degree
                                      = 19’ + 0.95’ 1500+ 32 ⎞    ⎟  degrees  8 Convert 0.8357 radian into degrees
                                                                              2.7520 radian =
                                              +
                                        = 23
                                                  +

                                        =
                                          ⎜
                                                    o
                                                                                               π
             WORKSHOP CALCULATION & SCIENCE - CITS                                          = 157.7  x 60’
                                                                                             = 102 54’
                                                                                                  0 0
                                               19.95
                                               60
                                               3600 3600 ⎠
                                          ⎝
                            87°19.95’ =  87° +    60                                 1 radian =   180   degree
                                      = 19.95’
                                                                                            = 157.7
                                                                                            = 157 42’
                                                                                                0  0
                                          84332 1500++
                                          82800
                                                                                                 π
                    4 Convert 23 25’ 32” into radians  o  32             8 Convert 0.8357 radian into degrees
                                0
                                        = =
                                                                                                  0 4
                                          3600 19.95
                                                                                            = 157.7  x 60’
                                      =  87° + 0.332° = 87.33°
                      We know 1 = 60’ = 3600”  3600                                4 3π radian =  180  π degree
                                                                                                180x
                            87°19.95’ =  87° +
                                                                                               180
                                0
                                                                                     π radian into degrees
                                                                                   7
                                                                                                     7
                                                 60
                                          84332
                                                                                            = 157 42’
                                                                                                0
 4 Convert 23 25’ 32” into radians  But 180 0  = π radians  4          10    Convent  1 radian =   π π   degree
         0
                                                                                    5
                                          π
                                                                                0.8357 radian =  π x 0.8357 degree
                                                                             4
                                                                        180
                                        =
                    4 Convert 23 25’ 32” into radians
                    1° Therefore  23 25’32”
                                0
                                  0
                                       = =
                                             radian
                                   1°
                                                                                               180
                                                                                   4
                                          3600
                                                                                                     4
                                      =  87° + 0.332° = 87.33°
 We know 1 = 60’ = 3600”  We know 1 = 60’ = 3600”  radian   7 π radian =   π  x 7 π degree   = 102.9 degree
                                                                                    3
                                        180
         0
                   Therefore 23.4255 degrees
                                                                                             180 180 x
                                                                                                    0 π degree
                                                                                    π radian =
                                                                                             = 47.88
                                                                       10    Convent
                                                                                     π radian into degrees
                                0
                                                                                  1 Radian = = 102 0.9 x 60’
                                                                                                π
                                                                                                     7
                                                                                                  0
                                                                                                 degree
                                               25
                               But 180
                                          π ⎛
 Therefore  23 25’32”  67.2° Therefore  23 25’32” = π radians  32 ⎞    degrees  = 102.9 degree 7 5  = 47  0.88 x 60’
                                      0
          0
                                                                                0.8357 radian =
                                                                                               π π x 0.8357 degree
                                        =


                                           23
                                          π 23.4255 ++
                                             x 67.2  radian ⎟
                                          ⎜
                                                                                                 0
                                   1°
                                       = =
                                  0
                               87.33° =    =
                                                    radians
                                                                                                  0
                                              x 87.33 radian
                                                                                             = 102.9 degree
                                               60
                                        180
                   Therefore 23.4255 degrees ⎝   radian    π  3600 ⎠  = 102 0.9 x 60’        = 102 54’
                                                                                             180
                                         180 180
                                                                           0
                                                                                              180 52.80’
                                                                                                    0
                                                                                             = 47
                                                                                                 0
                  ⎛     25   32 ⎞                                                3           = 47.88 3
                                                                                                 degree
                                                                                  1 Radian = = 102 0.9 x 60’
                                                                                                  0
                 =  ⎜ 23  +    +     ⎟  degrees ⎛ 23.4255 1500+ 32       8 Convert 0.8357 radian into degrees
                                          82800+
                                                                                   π radian =
                                                                                                      π degree
                                                                                                   x

                                       =  1.173 radian 3225
                                                   22
                                                        ⎞
                                          π 23.4255
                                                                                               π
                                                                           0
                                                                                             = 47  0.88 x 60’
                                                                                               π 52’0.8 x 60”
                                              +
                                        =
                                                          degrees
                                        = 23

                                                  +
                  ⎝     60  3600 ⎠    =  1.524 radian    radians      = 102 54’  5           = 47 0  0  0   5
                                          ⎜
                                                            ⎟
                                           = =
                                                  x  radians  π
                                              x 87.33 radian
                               87.33° =
                                                                                             = 102 54’
                                                3600
                                            18060
                                                                                                180
                     4
                                                    7 3600 ⎠
                                          ⎝
                                         180 180
                                                                                             = 47
                                                                                             = 47 52.80’
                                                                                 3
                                                                                                 0  0
                                                                                                0 52’48”
                                                                                                    3
                                                  8 Convert 0.8357 radian into degrees
                                                                                              180
                  6 Convert 67°11’43” into Radian
                                32
                   82800+
                          1500+
                                                                                     1 radian =
                                                                                            = 108
                                                                                                     degree
                                          84332
           7  Convert   into degrees  =  1.524 radian 22 +               8 Convert 0.8357 radian into degrees
                 =
                                                                                   π radian =
                                                                                                   x
                                                                                                      π degree
                                                                                                 0  π
                                        = 0.4089 radians 32150082800+
                                          23.4255
                                        =
                     7
                                                                                             = 47
                                                                                 5
                                                                                               π 52’0.8 x 60”
                                                                                                    5
                        3600
                                               3′ x

                                           = =
                                                      radians
                                                                         9 Convert 2.752 radian into degrees
                                              4
                                         180 3600
                                            180 3600
                                                    7
                               11’43” = 11’   +
                                                                                                180
                    4 Convert 23 25’ 32” into radians
                   5 Convert 87 19’ 57” into Radian.
                                                                                             = 47 180
                                0 0
                                                                                                0 52’48”
                   84332
                                                                                                 0
                  6 Convert 67°11’43” into Radian  degree
                 1 radian      But 180 0 =  = 0.4089 radians  1 radian =   180   degree  1 Radian =  π x 0.8357 degree
                                                                       Assignment 4
                                                                                                     4
                                                                          π
                                              60
                                                                                            = 108 180
                                                                                     1 radian =
                                                                                               180  degree
                 =
                                          84332
                                        = π radians
                                                                                0.8357 radian =  π x
                                                                                    π radian =
                                                                                                      π degree
                                                7′
                                        =
                                0
                                                                                                     7
                                                                                   7
                                                                         9 Convert 2.752 radian into degrees
                                                                                                π
                                                                        180
                                 19’57” = 19’ +  4
                    Therefore 23.4255 degrees 180 3600
                                      = 11’ + 0.716’
                 4  3600 We know 1 = 60’ = 3600”  4 5 3′               Convert into Degree      π  degree
                               11’43” = 11’   +
                   5 Convert 87 19’ 57” into Radian.
                    4 Convert 23 25’ 32” into radians
                                                                       Assignment
                      Therefore  23 25’32”
                                                                                               180
                                0 0
                                       =
                                              60  degree
        But 180 0    = π radians  0   0 = 11.72’ 7 60    0.8357 radian =  π x 0.8357 degree  = 47.88 0 4
                     radian
                                             x
                                                                                             = 102.9 degree
                                                                                   4
                                                                                               180
                                                                                               180
                                                                       1 12 Radian
                                        = π radians
                 7
                               But 180
                                                                                                      π
                                                                                    π radian
                                          23.4255
                                                                                                   degree degree
                                                                                2.7520 radian =  π x 0.8357 degree
                                                                                    1 Radian =  = 47  0.88 x 60’
                                                                                                 0
                                0
                                        = 19’ + 0.95’
 Therefore 23.4255 degrees  We know 1 = 60’ = 3600”  5 7′    π  radians  = 47.88 0  0.8357 radian =  =  180 x  x 2.752 degree
                                        =
                                                                                                π
                                                                                                π 0.9 x 60’
                                                                                                     7
                                                                                             = 102
                                                                                   7
                                                                                                  0
                                                                       Convert into Degree
                                      = 11’ + 0.716’
                                 19’57” = 19’ +  25
                                                                                                π
                                          ⎛
                                       = 102.9 degree
                    Therefore 23.4255 degrees 23  60 +  o 32 ⎞    ⎟  degrees  Convert into Radians  = 47 52.80’
                                            180   +
                                        =
                                               11.72
                                          ⎜
                                                                                             = 47.88
                                                                                                 0
                                                                                                    0
                      Therefore  23 25’32”
                                  0
                                        = 19.95’
                                                                                             = 102.9 degree
                                                                                                  0
                   23.4255   67°11.72’ =   67° +  60  3600 ⎠          = 47  0.88 x 60’       = 102 54’
                                      = 11.72’
                                                                       1 12 Radian
                                          ⎝
                                                                                               180
                                                                          0
                                                                                             = 157.7
                                                   22
                                                                                                    0
                                          23.4255
                                                 60
                 =            π  radians  = 102° 0.9 x 60’                  o   2.7520 radian =  = 47 52’0.8 x 60”
                                          23.4255
                                                                                                    x 2.752 degree
                                                                                             = 47  0.88 x 60’
                                           =
                                                                                                 0  0
                                        = 19’ + 0.95’  x

                                                      radians
                                                                       2 78
                     180                = 82800+ 19.95 o 7 32 ⎞       = 47 52.80’            = 102 0   0 0.9 x 60’
                                                     π
                                                    radians
                                                                         8 Convert 0.8357 radian into degrees
                                                     o
                                                 1500+
                                                        32
                                                                          0
                                                                                                π
                                            18025
                                          ⎛
                                                                                             = 157.7  x 60’
                                                                       Convert into Radians
                                            180
                                      =   67° + 0.195°
                                       = 102° 54’  ++=
                                                                                             = 47 52.80’
                                        = ⎜
                    23.4255  22 87°19.95’ =  87° +     23  11.72     ⎟  degrees  3 47 20'    = 47 52’48”
                                                                                                 0  0
                                        = 19.95’
                                                                                                  0  0 54’
                                                                                             = 102
                                                                            0
                                                                                                  0
                             67°11.72’ =   67° +   3600
                                                                          0
                                        = 0.4089 radians
                                                                                             = 157 42’
                                          ⎝
                    =      x     radians =   67.2°  60 6022           = 47 52’0.8 x 60”      = 157.7
                                                  60 3600 ⎠
                                                                                                180
                                          23.4255
                                                                                             = 47 52’0.8 x 60”
                                                                            0  Convert 2.752 radian into degrees
                                                                       2 78
                                                                                                 0
                    180
                             7
                                                                            o
                                                     oradians
                                                  x
                                                                       4 52 36' 45"
           8  Convert 0.8357 radian into degrees  19.95 321500+       = 47 52’48”    1 radian =    π   degree
                                           = 84332
                                                                         8 Convert 0.8357 radian into degrees
                                                                         9 0
                                          82800+
                                                                                             = 157.7  x 60’
                                                                                                    0
                                        =  87° + 0.332° = 87.33°
                                      =   67° + 0.195°7
                                        =
                    5 Convert 87 19’ 57” into Radian.
                                0
                                        =
                              87°19.95’ =  87° +
                                                                                             = 47 52’48”
                                                                                                 0
                 = 0.4089 radians  1° =      π 180 3600                3 47 20'      3  π radian into degrees
                                                                            0
                                         180 3600
                                                                                               180
                                                                         10
                                                                            0     Convent
                                              radian 60
                                                                       5 25 38"
                                                                                             = 157 42’
                                                                                                  0
                                                  9 Convert 2.752 radian into degrees
                                                                                                180
                                        = 0.4089 radians
                                                                                     5
                                          180 π
                                                                                    1 Radian = 180
                                                                                                   degree
                                             degree
                                       =
                 1 radian
                                                                         9 Convert  1 radian =
                                                                                                     degree
                                                                                                π
 5 Convert 87 19’ 57” into Radian.  But 180 0 =   67.2° 5 7′           4 52 36' 45"2.752 radian into degrees
                                               radian
                                                                            0
                                    1° =  84332
         0
                                 19’57” = 19’ +
                                        = π radians
                                                                                                 π
                                                                                0.8357 radian =  π x 0.8357 degree
                                        =  87° + 0.332° = 87.33°
                                                                                     3
                                                                        180
                                          180 60
                                        =
                                           π
                    5 Convert 87 19’ 57” into Radian.        1 Radian =  Convert into degree, minute and seconds
                                0
                                                                                               180
                                         π
                                                                            0     Convent
                                                                                       π radian into degrees
                                   1° =     180 3600
                                                                       5 25 38"
                                                                         10 degree
                        5
                                                                                               180
                         7′
                                                                                    1 Radian =  180
                                              radian
                    Therefore 23.4255 degrees
                                67.2° =
                                             x 67.2  radian
                                                                                     5
                                                                         π
                                          180 π
                                                                                o
                                                                                    1 Radian
                                                                                                   degree
                                                                                               180
                                                                                                    0
                                                                                                π  x 2.752 degree
                                        = 19’ + 0.95’
          19’57” = 19’ +  60   But 180 0 =  180 π 5 7′                 6 46.723 2.7520 radian =  =  = 47.88 degree
                                             x 0.8357 degree
                 0.8357 radian
                    4 Convert 23 25’ 32” into radians
                                0
                                               radian
                                    1° =
                                                                                                π π
                                                                                                     4
                                 87.33° =
                                                                       Convert into degree, minute and seconds
                                        = π radians
                                                                                               180
                                                                                   4
                                 19’57” = 19’ +
                                               x 87.33 radian
                                          180
                                          23.4255
                                                                                o 0.8357 radian =  π x 0.8357 degree
                                                                                             = 47  0.88 x 60’
                                                                                                 0
                                                                                               180 x
                                           180 60
                                                                                                      π degree
                                                                        180
                                                                                    π radian =
                                        = 19.95’
                                         π
                                        =
                                      =  1.173 radian radians  π
                      We know 1 = 60’ = 3600”
                                                                                                      3
                                                                                               180
                                0
                 = 19’ + 0.95’ 4  67.2° =  = 47.88°      2.7520 radian =  7 68.625 o  3 1 Radian =  = 157.7 7π 0   degree
                                                                                   7
                                                                             x 2.752 degree
                    Therefore 23.4255 degrees
                                                                                               180
                                                                                                    0
                                             x 67.2  radian
                                            180

                                                                                    π radian =  = 47 52.80’
                                                                                                       π degree
                                                                                                    x
                                                                       6 46.723
                                        180 π
                                                                                             = 47.88
                                                                                                π
                                                                         π
                                                                                                    0
                                                                                2.7520 radian =
                                        = 19’ + 0.95’
                                                                                                    x 2.752 degree
                                                                                   5
                                                                                                      5
                    4 Convert 23 25’ 32” into radians
                                                                                                π
                      Therefore  23 25’32”
                                0
                                        =  1.524 radian o
                                  0
                  7 Convert  π
                                radian into degrees 19.95
                                                                                             = 157.7  x 60’
                                               x 87.33 radian
                                                                                                     4
                                                                                                    0
                                                                                   4
                                                                                               180
                 = 19.95’        87.33° =    23.4255  22               8 0.1269 Radians      = 102.9 degree
                                                                                             = 47 52’0.8 x 60”
                                          23.4255
                                       = 47° 0.88 x 60’
                                           180

                                                                                             = 47  0.88 x 60’
                                                                       7 68.625
                                                                                                π 0  0
                                      =  1.173 radian
                                                                                o
                            7 87°19.95’ =  87° +    x   =
                                                                                                  0 x
                                        = 19.95’
                                                    radians
                                                     π
                   6 Convert 67°11’43” into Radian  60 7    radians   = 157.7 0    3 π radian =  180 0    3 π degree
                                        =
                      We know 1 = 60’ = 3600”
                                                                       9 2.625 Radians
                                0
                                                                                    π radian =  = 157.7 0.9 x 60’
                                                                                   7
                                                                                             = 157 42’ 7π
                                                                                             = 102
                                            180
                                                                                             = 1080  0
                                                                                                    x
                                            18025
                                                                                             = 47 52.80’
                            4
                                          ⎛
                                                                                                 0  0
                                        180
                         19.95 o       = 47° 52.80’  32 ⎞             = 157.7  x 60’  5      = 47 52’48” π degree
                                        =  1.524 radian
                                                                             0
                                                                                                π
                                                                                                      5
                                                                       8 0.1269 Radians
                                                 3′ +

                                           23
                                              +
                                        =
                                                            ⎟
                                          ⎜
                                                          degrees
                                                4
                                radian into degrees
                                                     o

                  7 Convert  π
                      Therefore  23 25’32”
       87°19.95’ =  87° +     1 radian = =  87° + 0.332° = 87.33°      10 3/5 Radians 3      = 102 0   0
                                  0
                                        = 0.4089 radians
                                                19.95
                                                                                                 0  54’
                                             degree 224255
                                                                                             = 157.7  x 60’
                                                                                             = 102.9 degree
                                          23.
                                               60
                                 11’43” = 1 ⎝
                                                    3600 ⎠
                                                                                             = 47 52’0.8 x 60”
                           60
                                                                         9 Convert 2.752 radian into degrees
                                         π1’   +   x   =
                                                                           0
                                                      radians
                                                                         Assignment
                            7 87°19.95’ =  87° +
                                                                         10    Convent
                                       = 47° 52’0.8 x 60”
                   6 Convert 67°11’43” into Radian 60 60 7    +  32 ⎞  = 157 42’     5  π radian into degrees
                                                                       9 2.625 Radians
                                                                                                  0
                                           π 180
                                                                                                 0  0.9 x 60’
                                                                                             = 157 42’
                                                                                             = 102
                                                                                             = 108 0  0
                                                                         8 Convert 0.8357 radian into degrees
                                0
                                        180
                    5 Convert 87 19’ 57” into Radian. 150082800+ 25
                                          ⎛
                  60
                             WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                                                                               180
                                                              3
                                               radia
                                              +
                                                4
                                                 3′n +
                                    1° =   23
                                        =

                                        = ⎜
                                                                         Convert into Degree
                 =  87° + 0.332° = 87.33°  = 47° 52’48”  10  32     ⎟  degrees  10 3/5 Radians  3  st  = 47 52’48”
                                             degree
                              1 radian = = 0.4089 radians
                                                                π radian into degrees 1 Radian =  = 102 54’
                                                                                                  0
                                                                                                   degree
                                        =  87° + 0.332° = 87.33°
                                        = 11’ + 0.716’    Convent
                                          180 3600
                                         π1’   +  75 ′ 360060
                                                                                               180
                                                                                                180
                                 11’43” = 1 ⎝
                                                                                                πdegrees
                    π
  4 Convert 23 25’ 32” into radians  0  19’57” = 19’ +   60  ⎠  5  4     9 Convert 2.752 radian into   degree
              0
                                                                         Assignment π radian into degrees
                                                                         10    Convent  1 radian
                                                                                                     degree
                                                                                    1 Radian =  =
                                                                             180
                                                                                  4
           9  Convert 2.752 radian into degrees
                                          84332
                                        = 11.72’ 60
                                                                         1 12 Radian 5
                                            π π
                        radian
                                                                         8 Convert 0.8357 radian into degrees
                                                                                                π π
                                                      +
             1° =   5 Convert 87 19’ 57” into Radian. 150082800+
                                                        32
                  60
                                                                                 x
                                        =
                                                                                    π degree
                                                                  π radian =
                                                                                        st
                   180
                                                                                               180
                                               radian
                                    1° =
    We know 1 = 60’ = 3600”  WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                        =
                                                                         Convert into Degree
                                                                                               180
              0
                                               x 87.33 radian
                                                                        180
                                 87.33° =
                                                                                  7
                                                                              π
                                                                 7
                                        = 11’ + 0.716’
                                         180 3600
                                                                         Convert into Radians =  =
                                                                                    1 Radian
                                                                                                   degree
                                          180 3600
                                           180 75 ′
                                                      o
                                                                                                    x 2.752 degree
                                                                                2.7520 radian
                                        = 19’ + 0.95’
                                                                            degree
                                                                                                180
                                                                                               180
                                                                                                      3
                                                                                               180
                                                                                   3
                                                                                                π π
                                       =
                 1 Radian
                                             degree
    Therefore  23 25’32” 4 π Convert 23 25’ 32” into radians 11.72  1 Radian =   1 12 Radianπ radian =  =  =   180  degree
                                 19’57” = 19’ +
                                                                         π
               0
                                0
                                                                                     1 radian
                                                                                                     degree
                                                                                    1 Radian
                              67°11.72’ =   67° +
                                                                           = 102.9 degree
                                        = 11.72’
                                                                                                       π degree
                                                                                                    x
                                          84332
                               But 180
                                               60
                                      0
                                                                                               180
                                                                                                     4
                                                                                   4
                                        =  1.524 radian
                                            π
          87.33° =    180  x 87.33 radian  = π radians  60               2 78 o 0.8357 radian =  π x 0.8357 degree
                                                                                                π π π
                                        = 19.95’
                                                                                                      5
                                                                                   5
                                        =
                                                                                                   x
                                                                                                    0 π degree
                                                                                    π radian =
                                                                                               180
                                                                                             = 157.7
                      We know 1 = 60’ = 3600”
                                0
                                                                        180 = 102 0.9 x 60’
                                                                               3
                    Therefore 23.4255 degrees 180
                                                                                0
                                                                                                π
                                                                                   7
                                                                         Convert into Radians
 4 Convert 23 25’ 32” into radians  25  87.33° =    3600  x 87.33 radian 3  π radian = 180   x  4 0 π degree 4  = 47.88 0 0 7 3 180  4
                        ⎛ 4 Convert 23
                                   32 ⎞25’ 32” into radians
                                                      o
         0
                                      0
                                        = 19’ + 0.95’
                                                                                2.7520 radian =
                                                                                                  0  x 2.752 degree
                                                 11.72
                                           180
                                                                                             = 108
                    6 Convert 67°11’43” into Radian
                                                                                               180
                                                                                   3
                                             x 2.752 degree 4
                                        =   67° + 0.195° o
                                         egrees
                 2.7520 radian    23 +=
                                                                                             = 157.7
                                       =  d   ⎟
                              67°11.72’ =   67° +   19.95
                                                                                               180  x 60’
                        ⎜
                                                                                                π
                 =  1.524 radian
                    4 Convert 23 25’ 32” into radians
                                                                         π = 102 54’
                                0
                                                                                                         x
                                                                            x
                                + 0
                                                                                                       π degree degree
                                                                                           π radian
                                                                                                    x  =
                                                                               5 π degree
                              87°19.95’ =  87° +
                                        = π radians
                             60
                                 3600
                                                                                               180
                                                                                                     4
 We know 1 = 60’ = 3600”  Therefore  23 25’32” =   67.2°  4 3′ 60  5 π radian =   3 47 20' 0   4  π radian =  = 102.9 degree  π
                        ⎝
                             We know 1
                               But 180 ⎠ = 60’ = 3600”
         0
                                                   60
                                      0 0
                                          23.4255
                                                                              o 0.8357 radian =  π x 0.8357 degree
                                        =  1.524 radian
                                        = 19.95’
                                                            7
                                                                                                      5
                                                                         π
                                                                                                 0
                                                                                   5
                                                                              0  7
                                                                                             = 47  0.88 x 60’7π
                                                                                         7
                                                                         2 78
                                                                                                π 0  0 πx
                                                                         4 52 36' 45" π radian =
                                                    radians
                                                                                             = 157.7
                                        =
                                                     π
                      We know 1 = 60’ = 3600”
                                                                      = 108
 6 Convert 67°11’43” into Radian 82800+ 1500+  32 0 =   67° + 0.195° 8 Convert 0.8357 radian into degrees  = 157 42’  degree
                                0
                                                                                             = 102
                                                                           0
                                                                                                 0  0.9 x 60’
                                                                                   7
                                                                                                  0
                                       = 157.7°
                                 11’43” = 11’   +
                                                                                                π
                                                                                                    0 7
 Therefore  23
                    Therefore 23.4255 degrees 25’32”
             25’32”
                                                                         Assignment
                             Therefore  23
          0
                                            π 18025
                                                                                             = 47
                                                                                                  0 52.80’
                                          ⎛
                                                     o 32 ⎞
                                                                                             = 47.88= 102.9 degree
                                                                      = 102.9 degree
                                                60
                                                                              0  20'
                    6 Convert 67°11’43” into Radian
                                                                         3 47
                      =
                                                                                             = 108
                                                                              0
                                                19.95

                                           23
                                        =  87° + 0.332° = 87.33°
                                                                                             = 157.7  x 60’
                                              +
                                                                                                    0
                                        =
                                                radian
                          3′ 3600 25’32”
                         4
                                                                                             = 102 54’
                                                                                                  0
                                        =   67.2°
                                                                                             = 102.9 degree
                              87°19.95’ =  87° +
                                          23.4255 360060
                                           180
                                                                              180
                                       = 157.7° x 60’
                                                                         10    Convent
                      Therefore  23 0  1° =     ⎜ ⎝ 23.4255 + 22  ⎠    ⎟  degrees  5 25 38"  3  π radian into degrees 0
                                                                                                  0  52’0.8 x 60”
                                                                                             = 47  0.88 x 60’ 0.9 x 60’
                                                                                             = 47
                                                                      = 102 0.9 x 60’
                                                                           0
                                                                                                 0  0
                                                 3′ 60 radians  x
                                                4
                                           =
                                                                         Convert into Degree = 157 42’
                                                    radians 3225
          11’43” = 11’   +  25  32 ⎞    = 11’ + 0.716’ Assignment ⎞  1 radian =    0    degree      = 102
                                           π
                                                                         4 52 36' 45" 5
                  ⎛
                                        =
                                                     π
                                                ⎛
                        84332
                         60
                                                                         Convert into degree, minute and seconds
                                            180 =
                                                        +
                                            π 180 1500++ ⎜
                                     ⎟
                                                                               π
                                                                                                 0  0  0.9 x 60’
                                   degrees
                                    1° =   82800
                      =
                                                                                             = 47 52’48”
                                           π  radian 3225
                                                                                             = 47 52.80’
                                                        ⎞
                                                                      = 102 54’
                                          ⎛
                                       = 157° 42’
                                                                           0
                                                                         8 Convert 0.8357 radian into degrees 0
                 =  ⎜ ⎝ 23  +   60 +  3600 ⎠ 11’43” = 11’   +  23  + 7   60 32    ⎟  3600     ⎟  degrees  Assignment  = 102 0   = 102 54’
                                                60
                                                                         5 25 38"
                                        =
                                        = 11.72’ ⎝
                                        =  87° + 0.332° = 87.33° ⎠
                                                radian
                                                                              0
                                                          degrees
                                                                         1 12 Radian 3
                                    1° =     180   23 +=
                        3600
                                                  +
                                          ⎜
                                              x 67.2  radian
                                                  Convert into Degree
                                                                                                 0  54’
                                          23.4255
                                                   22
                                                                                             = 102
                                                                                               180 0
                                           180 3600 360060
                 = 11’ + 0.716’   67.2° =  = 0.4089 radians  ⎠           6 46.723 o  1 Radian =  = 47 52’0.8 x 60”
                                                                             180
                                                                                       π radian into degrees
                                                                         10    Convent
                                                                                                180
                                          ⎝
                                          180
                      3
                                                                                                   degree
                                                                         9 Convert 2.752 radian into degrees
                                           =
                                                        Convert 0.8357 radian into degrees8 Convert 0.8357 radian into degrees
                                                  x  8
                                                      radians 321500++
                          1500+
                   82800+
                                            π π
                                                                         Convert into degree, minute and seconds
                                        = 11’ + 0.716’
                                                                                     5 1 radian
                                                                         Convert into Radians =
                                                                                                     degree
                                                                                                π
             But 180
           10 Convent    = π radians 0 32  1° =   82800+ 82800 o  32     Convert into Degree  = 47 52’48”
                    0
                                                 11.72
                 =
                                                    7
                          radian into degrees 84332
                                            180 =
                                        =  1.173 radian 12 Radian 0.8357 radian =  π x 0.8357 degree
                    5
                 = 11.72’ Convert 87 19’ 57” into Radian.
                                                                                                 π
                                                                         7 68.625
                                                                         8 Convert 0.8357 radian into degrees
                                                                                 o
                                                  1 1500+
                                           π  radian
                                                                                                 0
                                 87.33° =
                                               x 87.33 radian
                                        =
                                                      3600
                      5 3600
                                                                                               180
                                        =
                                                                                                      180
                                          180
                                                                         1 12 Radi
                                  67.2° =  = 11.72’
                                           180
                                              x 67.2  radian
                                         180 3600
  Therefore 23.4255 degrees  11.72 67°11.72’ =   67° +   7′ Convert into Radians  180 = 47.88 oan 1 Radian = 180  degree
                                        = 0.4089 radians
                                                   60
                                                                                               180
                                                                                   31 Radian =
                                                                                                      3
                                                                                               180 degree  degree
                                                             1 radian =
                                                                         2 78  degree
                                                                                           1 radian =
                                          180 5 3600
                                                                              o
                                                                         6 46.723 0
                   84332
                                                                         8 0.1269 Radians
                                                84332
                                                                         9 Convert 2.752 radian into  180
                              4 o
                                                                                    π radian =  πdegrees

                   7 Convert  π
                                                                          π
                                                                                                       π degree
                                       =
                                             degree
                 1 Radian
                                  radian into degrees
                                 19’57” = 19’ +
                 =
                                            π =
                                                                                                     degree
                                                                                     1 radian
                                        =  1.524 radian
                                        =   67° + 0.195° o
       67°11.72’ =   67° +    60 67°11.72’ =   67° +   3600              Convert into Radians =    π π   x  π
                                                                                                      5
                                                                                                π
                                          84332
                                                                         7 68.625 5
                        23.4255
                              77 19’ 57” into Radian.
                                               60
                    5 Convert 8But 180
                                        = π radians
                                                 11.72
                                      0
                                                                                 o
                                        =  1.173 radian
                                0
                                                                           = 47 0.8357 radian =  π x 0.8357 degree
                                                                         3 47 20'  0.88 x 60’
                                                                              0 0
                   3600
                                               x 87.33 radian
                                 87.33° =
                                  radians =
                                                                         9 2.625 Radians
                      =
                                   π
                                                                                               180
                                                                                               180
                                                                                                      180
                                           180
                                        =   67.2° 3
                 3  Therefore 23.4255 degrees 180 3600  2 78 o          180   o 0   31 Radian  = 108  x 2.752 degree
                              4
                                                   60
                                         180
                                                                                               180 degree
                                                                              0  2.7520 radian =  =
                          180
                                                                                                      3
                                                                                                  0
                    6 Convert 67°11’43” into Radian 75 ′
                                        = 19’ + 0.95’
                                                                           = 47 52.80’
                                                                         8 0.1269 Radians
                                                                         4 52 36' 45"
                                             x    = π radians
        But 180 0  =   67° + 0.195°  1 radian =  = 19’ +   degree47 20'  2 78       π        = 47.88  x   π degree
                                     But 180
                    = π radians

                     radian
                   7 Convert  π
                                       =
                                            0
                                  radian into degrees  degree
                                                                                                    0
                                                                                               180
                                                                         10 3/5 Radians radian =  π π
                                                       0 0.8357 radian =  π x 0.8357 degree0.8357 radian =  π x 0.8357 degree
                                 19’57”
                                                  3
                                        =  1.524 radian
                                           π π + 0.195°
                                 22
                        23.4255
                                                                                   5
                                                                                                      5
                                                4 60
                 5
                                        =   67° 5
                                                                           = 47
                                                                              0  0 52’0.8 x 60”
                                        = π radians
                              7But 180
                                                                               0
                                      0
                                    radians 23.4255
                                        = 19.95’
                                x
                                                                                             = 47  0.88 x 60’
                                                                         3 47 20'

                 =   67.2°   =
                                                                                                π 0
                                                                         9 2.625 Radians
                                                radian
                                    1° =
 Therefore 23.4255 degrees  Therefore 23.4255 degrees 3′   π  radians    5 25 38" 0.8357 radian =  π x 0.8357 degree
                                 11’43” = 11’   +
                                                                                               180
                                                                                             = 157.7= 47.88
                                                                                                    0
                                        =
                                                                         Assignment
                                                                                                          0
                                                                             0
                                                       0
                                  7
                                           180
                         180
                                         180
                   60 Convert 67°11’43” into Radian  4 52 36' 45"     = 47.88  0  2.7520 radian =  = 47 52.80’
                                       = 108°
                                        =   67.2° 60
                                                                           = 47 52’48”
                               WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                    6 Therefore 23.4255 degrees
                                        = 19’ + 0.95’
                                                                                                  0
                                                                                             = 108  x 2.752 degree
                                                                               0
                                            180
                                                                                          st
                                                                                                 0
                                                                         4 52 36' 45"
                                                     o
                     π
                                                                                             = 47.88
                                                                                                    0
                                                                         Convert into degree, minute and seconds
                                               degree
                               1 radian =
                                                                         10 3/5 Radians
                                                19.95
                   23.4255
                                                                                                π = 47
                                                                                                    0
                                                                          0
                                                                                                        0
                      = 0.4089 radians
                                                  5 25 38"
             1° =     180  radian 87°19.95’ =  87° +   4 23.4255    π  radians  = 47  0.88 x 60’  = 157.7  x 60’  0.88 x 60’
                                                       0
                 =
                              π
                                          23.4255
                                                 3′ 22
                                           π π π =
                             radians
                                                                         Convert into Degree
                                                       9 Convert 2.752 radian into degrees
                                                                                             = 47 52’0.8 x 60”
                                          23.4255
                                        = 19.95’
                                        = 11’ + 0.716’
                                                                                             = 47  0.88 x 60’
                                                                         5 25 38"
                                                                                                 0  0

                                                                              0
                                    1° =
                                  67.2° =  =
                     180
                                                radian radians  x  180
                                                  60
                                                                                             = 157 42’
                                              x 67.2  radian
                                                                                             = 157.7= 47 52.80’
                                                                         6 46.723
                                 11’43” = 11’   +
                                                                      = 47 52.80’
                                                     π
                                                    radians
                                        =
                                                                                                       0
                                                                                                  0  0
                                                                          0
                                                                                  o
                                                                         Assignment
                                          180 180
  5 Convert 87 19’ 57” into Radian. WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                                60 7
                   60
                                            180
                                                  Convert into degree, minute and seconds
              0
                                                                                          st
                                            180
                                                                                             = 47 52’48”
                                                                         1 12 Radian
                                                                             180
                  23.4255
                                                                                                 0  0
                                                          22
                                        = 11.72’ 23.4255
                            22
                                                     o
                    π
                                                19.95
                                                                         Convert into degree, minute and seconds
                                                                                             = 157.7  x 60’ 52’0.8 x 60”
                                                                                                    = 47
                                                                                             = 47 52.80’ 0
                                                                          0
                                                                                                    0

                               radians

                           x
                                        =  1.173 radianns  x   =
                                        = 0.4089 radia
                                                                         7 68.625 degree
                                                                  1 Radian =
                                                                                  o
                              7′
                             5
                              87°19.95’ =  87° +
                                          23.4255
                                           π
                                                   22
           67.2° =    =   x 67.2  radian  =  87° + 0.332° = 87.33° radians  = 47 52’0.8 x 60” 3  π radian into degrees
                                                                         Convert into Degree
                                                  6 46.723
                                                                         10    Convent
                                                          o
                                        = 11’ + 0.716’ 180
                                                                         Convert into Radians = 47 52’0.8 x 60”
                                                                              π
                                                                                                 0
                                                                         9 Convert 2.752 radian into degrees
                                           =
                                                  60 radians
                                                      o
                                                  x
               19’57” 180    7 4 0  67.2° =  π   x 67.2  radian  7    = 47 52’48”  o  5      = 157 42’ = 47 52’48”
                  180= 19’ +
                                                 11.72
                                                                                                  0
                                                                                                       0
                                                                          0
                                                                         6 46.723
                             60
                                          180 180
                                                    7
                    5 Convert 87 19’ 57” into Radian.
                    7 Convert  π  67°11.72’ =   67° +
                                              = 0.40
                                        = 11.72’  radian89 radians
                 = 0.4089 radians    radian into degrees 7 68.625 o      8 0.1269 Radians    = 47 52’48”
                                                                         1 12 Radian
                                    1° =
                 =  1.173 radian
                                                                                                 0
                                                                                               180
                                                   60
                                                                              o 180
                                          180
                                        =  87° + 0.332° = 87.33°
                                                                                     3
                                                                                  o Convert 2.752 radian into degrees
                                                  9 Convert 2.752 radian into degrees9
                                                                         2 78
                              7
                                        = 0.4089 radia
                                        =  1.173 radianns
                      = 19’ + 0.95’
                                                                         7 68.625  x 2.752 degree =
                                                7′
                                               5
                                                                         9 2.625 Radians π radian into degrees
                                                                         10    Convent
                                                                                    1 Radian
                                                                                                   degree
 5 Convert 87 19’ 57” into Radian.5 Convert 87 19’ 57” into Radian.  2.7520 radian =   0 π  1 Radian  180 degree
                                                                         9 Convert 2.752 radian into
                                      0
      4 0
                                                                         Convert into Radians =  πdegrees
                                                  8 0.1269 Radians
                                                      o
                                        =   67° + 0.195°
          radian into degrees 4  19’57” = 19’ +
                                                                                     5
                                                 11.72
                                            π π
                                          180
 7 Convert  π

                                                                                                π
                                                                         3 47 20'
                                                                         8 0.1269 Radians
                      = 19.95’
                    5 Convert 87 19’ 57” into Radian.
                                0
                                   87.33° 1° =
                                               radian
      7             7 Convert  π  67°11.72’ =   67° +   60 9 2.625 Radians  180 = 157.7 0  1 Radian =  180  degree
                                                                         10 3/5 Radians
                                               degree
                               1 radian =   into degrees
                                                                            degree
                                        =   67.2°  x 87.33 radian 1 Radian =
                                  radian =
                                                   60 75 ′
                        5
                         7′
                                                                                               180
                                          180
                                                                                               180
                                           π 180
                                                                         π
                                                                                                       π
          19’57” = 19’ +      7    o    19’57” = 19’ +                   2 78 o 0   2.7520 radian =  180  degree
                                                                                                      3
                                                                         4 52 36' 45" 31 Radian =
                                                                         9 2.625 Radians
                                        = 19’ + 0.95’
                                                                                               180  x 2.752 degree
                                                7′
                                               5
                  180
                        60
                                                                                    1 Radian =
                                        =   67°
                                                                                    π radian =  π π
                                                                                  0
                                                                                                       π degree
                                                                                                    x
                                 19’57” = 19’ +
                               WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                          180 π
                                        =  1.524 radian
        1 radian =   60  degree  19.95  1° =      π + 0.195° 60  80     180 = 157.7  x 60’  st  π  degree
                                                  10 3/5 Radians
            87°19.95’ =  87° +
                                                                         3 47 20'
                                                                              0  0
                                                                         5 25 38" 5
                                                                                                      5 180
                                                                                                π
                                                radian
                                        = 19.95’ 60
                   π
                                               degree
                                60
                                 87.33° =
                                                                           = 157 42’
                                                                                0
                                        =   67.2° = 19’ + 0.95’
                                                         2.7520 radian =
                                                                             x 2.752 degree2.7520 radian
                 = 19’ + 0.95’  1 radian =  180  x 87.33 radian          10 3/5 Radians      = 157.7 =     x 2.752 degree
                                                                                                    0
                                           π 180
                                                                                               180
                                            CITS : WCS - Electrical - Exercise 7
                                                                         π
                                                                              0
                    6 Convert 67°11’43” into Radian
                                                                         4 52 36' 45" 3
                                                                         Convert into degree, minute and seconds
                                        = 19’ + 0.95’
                                                                                2.7520 radian =
                                                                                               180  x 2.752 degree
 60    WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25  st  = 108 0   x  3π π degree
                                                                  st
                      =  87° + 0.332° = 87.33°
                                                     o
                                                19.95
                                                                                    π radian =  = 157.7  x 60’
                 = 19.95’
                                           π π = 19.95’
                                                                   3
                                                                                                    0
                                                                                                π
                    60
                               WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                        =  1.524 radian
                                                                         5 25 38"
                                                                                  o 5
                                                                                                      5
                                                                                                π = 157.7
                                                                      = 157.7
                                    1° =  87° +
                                                 3′
                              87°19.95’
                                                4
                                                                                                          0
                                                                             0
                                                                              0
                                  67.2° =  =
                                                                     π radian into degrees
                                                radian 10
                                              x 67.2  radian    Convent
                                        = 19.95’
                                                                         6 46.723
                                          180 180
                         π
                                                                                             = 157.7
                                                                         Assignment
                                                                                                  0  0
                                                                                             = 108 = 157.7  x 60’
                                                                             0
                    6 Convert 67°11’43” into Radian
                  1° =
                             radian
                                                                                                  0
                                                                         Convert into degree, minute and seconds
                                     87°19.95’ =  87° +
       87°19.95’ =  87° +   19.95 o  11’43” = 11’   +  60 60  o  19.95 o  5  = 157.7  x 60’ o  = 157 42’  0
                                        =  1.173 radian
                                                                         7 68.625
                        180
                                        =  87° + 0.332° = 87.33°
                                                19.95
                                           π
                                                                                                    0
                                                                             180
                           60 4 87°19.95’ =  87° +   4 3′  60     1 Radian =     Convent  3  = 157.7  x 60’ 0
                                                                      = 157 42’
                                                                                                    = 157 42’
                                                                           0
                                                                         Convert into Degree
                                                                         10
                                                                         6 46.723 degree π radian into degrees
                                              x 67.2  radian
                                  67.2° =  = 11’ + 0.716’
                                                                                  o
                                                  60
                                                                                     5
                          π
                                                                                                  0
                                 11’43” = 11’   +
                                                                              π
                                                                         Assignment

                    7 Convert  π
                                  radian into degrees
                 =  87° + 0.332° = 87.33°
                                                60
                                                              3
                                    1°
                                                                         1 12 Radi
               87.33° =    180  x 87.33 radian =   180 π  =  87° + 0.332° = 87.33°  8 0.1269 Radians  3 = 157 42’
                                                                                  oan
                                        = 11.72’  radian
                              7
                                                                         7 68.625    Convent
                                                  10
                                          180
                                                                π radian into degrees10
                                        =  1.173 radian    Convent
                                                                                             π radian into degrees
                                                                         9 2.625 Radians
                                                                                    3 3
                                                                             180
                                                                                            5
                    π                   =  87° + 0.332° = 87.33°  5  3 π radian =     Convent   π degree=  180
                                                  π
                                                                         Convert into Degree
                                                                                       π radian into degrees
                                        = 11’ + 0.716’
                                                                         10
                                                                                  x  1 Radian
                              4
                        radian
                                                     radian
             1° =     =  1.524 radian     180    11.72 o         5       Convert into Radians   π  degree
                                           1° =
                                                                         8 0.1269 Radians
                                                                                    5 5
                                            π π
                                  radian
                    7 Convert  π
                               1 radian =   into degrees

                   180        7 87.33° =    π  x 87.33 radian           180   π                       180
                                                                         10 3/5 Radians
                              67°11.72’ =   67° +   180
                                               degree
                                        = 11.72’  radian
                                                                         1 12 Radian
                                    1° =
                                           180
                                                                              o
                                                                         9 2.625 Radians
  6 Convert 67°11’43” into Radian         180     π 60       1 Radian =   2 78 degree  3  1 Radian =  3 π  degree
                                                                           = 108
                                                                                               180
                                                                                0
                                                                                               180
                     π
                                                                         π
                                          180
                               WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                                                                    1 Radian
                                        =   67° + 0.195°
                                                                                          st
                                                                                    π radian
                                                                                                    x
                                                                                                       π degree
          87.33° =    60   x 87.33 radian  87.33° =    11.72 o           Convert into Radians =  =   π π  degree
                               1 radian =  =  1.524 radian  x 87.33 radian
                                                                         3 47 20'
                                            π
                              4
                                                                                   5
                                                                         10 3/5 Radians
                                                                                                      5
                               3′
                                               degree
                                                                              0
                    180
                              67°11.72’ =   67° +   180
                                                                               3
               11’43” = 11’   +   87.33° =    π  x 87.33 radian 3  π radian =  180  o 0  π degree  3  π radian 0 =  180  3  π degree
                                        =   67.2°
                                                   60
                                                       Assignment
                                           180
                                                                         2 78  x
                                                                                                           x
                    6 Convert 67°11’43” into Radian
                                                                                   3
                                                                                             = 108
                 =  1.524 radian 60     =   67°  =  1.524 radian 5       4 52 36' 45" π radian =  180   x  3 π π degree
                                                                                                            5
                                                                                          st 5
                                                                               5
                                                                         π
                    60
                               WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                            π + 0.195°
                                        =  1.524 radian
                                                                         3 47 20'
                                                radian Convert into Degree
                                                                                                      5
                                                 3′
                                                                         5 25 38" 5
                                    1° =
                                                4
                      = 11’ + 0.716’
 6 Convert 67°11’43” into Radian 6 Convert 67°11’43” into Radian      = 108 0  0  0             π   = 108 0
                                           180
                                        =   67.2°
                                 11’43” = 11’   +
                                                                         4 52 36' 45"
                                                                              0
                    6 Convert 67°11’43” into Radian 60  4 1 12 Radian    Assignment          = 108 0
                                                                         Convert into degree, minute and seconds
                      = 11.72’
                         4
                                                       3′
                          3′
          11’43” = 11’   +   60   67.2° =  =     π π  x 67.2  radian     5 25 38" o
                                    1° 11’43” = 11’   +
                                                                              0
                                                                         Convert into Degree
                                                                         6 46.723 Assignment
                                                radian
                                                 3′
                                                4
                                        = 11’ + 0.716’ Assignment
                                                       Convert into Radians
                                    o
                                                       60
                                          180 180
                                 11’43” = 11’   +
            67°11.72’ =   67° +   11.72  = 11.72’  60                    Assignment
                                                                         Convert into degree, minute and seconds
                                                                         1 12 Radi
                                                                                  oan
                                                  Convert into Degree
                                                                               Convert into Degree
                 = 11’ + 0.716’  60     =  1.173 radian  2 78 o          7 68.625
                                           π
                                              = 11’ + 0.716’
                                              x 67.2  radian
                                                                         6 46.723
                      =   67° + 0
                                  67.2° =  = 11’ + 0.716’
                                                                                  o
                                                                         Convert into Radians
                                                                               1 12 Radian
                                                  1
                 = 11.72’     4.195°      180 = 11.72’  o 3 47 20'       Convert into Degree
                                                                         8 0.1269 Radians
                                                 11.72 12 Radian
                                                            0
                    7 Convert  π

                                  radian into degrees
                                        = 11.72’
                      =   67.2° 7 67°11.72’ =   67° +    60              1 12 Radian
                                                                         7 68.625
                                        =  1.173 radian
                                                                                  o
                                                                         2 78 Convert into Radians
                                                       4 52 36' 45"
                                                                              o
                                                            0  o
                          11.72 o                 Convert into Radians   9 2.625 Radians
                                                       11.72
       67°11.72’ =   67° +    π  4   67°11.72’   11.72                   Convert into Radians
                                          180 =   67° +
                                        =   67° + 0.195° o
                                                                         8 0.1269 Radians

                    7 Convert  π
                                  radian
                                                            0
                                                         60
                                                                         10 3/5 Radians
                                                                              0
                            60
                  1° =     180  radian     π   degree  o 5 25 38"        3 47 20'   o
                               1 radian =   into degrees
                              67°11.72’ =   67° +
                                                  2 78
                                                                               2 78
                              7
                                        =   67.2°
                                                   60
                                                                         9 2.625 Radians
                 =   67° + 0.195° WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                              =   67° + 0.195°
                                                                         2 78
                                                                              o
                                                                              0
                                                       Convert into degree, minute and seconds
                                                  3 47 20'
                                                                               3 47 20'
                                                       0
                                                                         4 52 36' 45" 0
                    60
                                                                                          st
                         π
                                          180 π + 0.195°
                                        =   67°
                                              =   67.2°
                 =   67.2°
                                                                         10 3/5 Radians
                                                                              0  0
                               1 radian =
                                                                         5 25 38"
                                    1°
                                                radian
                67.2° =  180  x 67.2  radian=     π   degree  6 46.723 o  3 47 20'  0
                                                                               4 52 36' 45"
                                                  4 52 36' 45"
                                                       0
                                           180
                     π                  =   67.2°  π                     4 52 36' 45"
                                                                              0
                                                       7 68.625
                                                                               5 25 38"
                                                                                    0
                               WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                                       0
                                           1° =
                                                                                          st
                                                      radian
                         radian
             1° =     60=  1.173 radian    π π    5 25 38"     o         Convert into degree, minute and seconds
                                                  180
                                                radian
                                    1°
                                                                              0
            4       180           67.2° =  =       x 67.2  radian        5 25 38" o
                                                                         6 46.723
                                                  Convert into degree, minute and secondsConvert into degree, minute and seconds
  7 Convert  π     radian into degrees    180 180  π   8 0.1269 Radians
                    π
            7
                                                                         7 68.625
                                                                                  o
           67.2° =  180  x 67.2  radian  =  1.173 radian  x 67.2  radian  Convert into degree, minute and seconds
                                        67.2° =
                                                       9 2.625 Radians
                                                                               6 46.723
                                           π
                                                  6 46.723
                                                                                        o
                                                          o
                                                180
                       180
                                                                         8 0.1269 Radians
                                                       10 3/5 Radians
                                         into degrees 7 68.625
                                                                               7 68.625
             1 radian =  Convert  4  67.2° =  180  x 67.2  radian  o     6 46.723 o     o
                             degree radian π
                                              =  1.173 radian
                    7
                 =  1.173 radian
                         π
      4                       7     4   =  1.173 radian                  7 68.625 o
                                                                         9 2.625 Radians
 7 Convert  π     radian into degrees7 Convert  π     radian  8 0.1269 Radians  st  8 0.1269 Radians
  60
             WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                          180  into degrees
                              4
                                    7
      7             7 Convert  π  1 radian =   into degrees              8 0.1269 Radians
                                               degree
                                  radian
                                                                         10 3/5 Radians

                                                  9 2.625 Radians
                                                                               9 2.625 Radians
                  180         7            π    180                      9 2.625 Radians
                                      1 radian =
                                                  10 3/5 Radians
                                                     degree
                    60  degree
                                                                               10 3/5 Radians
        1 radian =   π         WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                          180
                                                                                          st
                                                 π
                               1 radian =
                                               degree
                                                                         10 3/5 Radians
                                           π
                          60
 60    WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25  st
                                     WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                                                  st
                    60         WCS - Electronics Mechanic : (NSQF - Revised Syllabus 2022) - 1  Year : Exercise 1.6.25
                                                                                          st
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