Page 22 - Trigonometry
P. 22

Example 7:



                                          From  the  diagram  on  the

                                          left,  derive  an  expression
                                          for the length X in terms of

                                          A, B and  C. Also  derive an

                                          expression of the angle θ.


        From the diagram


                                    2
                                            2
                                                   2
                                     =    +                                    1
                                       2
                                                       2
                                2
                                =    + (   +   )                            2
        From Eq:1
                                                   2
                                            2
                                    = √   −   
        From Eq:2
                                               2
                                                      2
                                 +    = √   −   
        Therefore,

                                                            2
                                                     2
                             2
                                    2
                         √   −    +    = √   −   
        Leaving,

                                        2
                                2
                                                 2
                                                         2
                         = √   −    − √   −                             3

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