Page 52 - E-Modul Strukbar Berbasis Case Method
P. 52

Penyelesaian:

                         Ambil sebarang unsur    =    +       dan    =    +       sehingga:
                                                1
                                                                        2
                                                                              2 ,
                                                            1
                                                      1
                                                                   2
                                    +          −     
                         |  1 | = |  1  1  ⋅  2    2 |
                             2      +      2      −      2
                                  2
                                             2
                                  −         +         −     
                         = |  1 2     1 2     2 1    1 2 |
                                        2
                                         +    2 2
                                       2
                                  +                −      
                         = |  1 2    1 2  +     2 1  1 2 |
                                                2
                                2
                                 +    2 2         +    2 2
                                                2
                                2
                                            2                  2
                                     +                 −      
                         = √(   1 2    1 2 ) + (   2 1    1 2 )
                                                     2
                                  2
                                    +    2 2          +    2 2
                                                     2
                                  2
                                                                                 2 2
                                                    2 2
                                                            2 2
                               2 2
                                   + 2            +       +       − 2            +      
                                                                     1 2 1 2
                                        1 2 1 2
                         = √   1 2                  2 1     2 1                  1 2
                                                      2
                                                            2 2
                                                    (   +    )
                                                           2
                                                      2
                                              2 2
                                                    2 2
                                      2 2
                                2 2
                              (      +      )+(      +      )
                                1 2
                                              2 1
                                      1 2
                                                    1 2
                         = √                  2
                                         2
                                             2
                                       (   +   )
                                            2
                                         2
                                                   2
                                   2
                                        2
                               2
                                                         2
                                               2
                                (   +    ) +    (   +    )
                                   2
                                                   2
                               1
                         = √            2      1  2      2
                                         2
                                               2
                                      (   +    )
                                         2
                                               2
                                  2
                                                       2
                                                2
                                        2
                               (   +    )     (   +    )
                         = √     1     1    ⋅   2     2
                                                2
                                 2
                                                      2 2
                                       2 2
                              (   +    )     (   +    )
                                 2
                                                      2
                                       2
                                                2
                               2
                            √   +    2
                               1
                                     1
                         =
                               2
                            √   +    2
                               2
                                     2
                            |   |
                              1
                         =
                            |   |
                              2
                         Latihan nomor 1,3,4,5.
                     2)  Akar pangkat    dari bilangan satuan
                                 
                         Jika    = 1 maka:
                               cos 2      sin 2    
                            =        +          dimana    = {1,2,3, … ,   }
                            
                                             
                            = {1,2,3, … ,   }
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