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Basic Mathematics – I



                                                             2
                                                                    2
                    Notes          If                      sin    =  sin   , then
                                                                =

                                                          cos2  =  cos2

                                                             2  =  2n    2 , n I

                                                                =  n
                                                     2
                                               2
                                   Similarly, if cos    = cos   , then
                                                                =  n    , n   I
                                            2
                                                   2
                                   Again, if tan    = tan   , then
                                                                =

                                                          cos2  =  cos2
                                                             2  =  2n    2

                                                                =  n     , n  I is the general solution.
                                   Example 6: Find the general solution of the following equation:

                                   (a)

                                           2
                                   (b)   4sin  = 1
                                   Solution

                                   (a)           sin   =


                                                 tan   =



                                                      =



                                   (b)   4sin q = 1
                                           2


                                                 sin   =




                                                      =










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