Page 46 - modul trigonometri bilingual
P. 46

Example 3.2
                                                                            2
                        Prove the following trigonometric identity cos    =        csc    × cos   
                                                                                   tan    + cot   
                            Alternative Solutions


                        The shape of the right segment of the equation is changed so that it
                        is equal to the shape of the left segment

                        Right field:

                        csc    + cos   

                        tan    + cot   
                             1
                           sin     × cos   
                        =
                           sin       cos   
                           cos     +  sin   
                                 cos   
                                 sin   
                        =
                              2
                                          2
                           sin     + cos   
                              sin    cos   
                              cos   
                              sin   
                        =
                                1
                           sin    cos   
                           cos   
                        =         × sin    cos   
                           sin   

                               2
                        = cos   

                        = left field (proven)



























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