Page 22 - modul trigonometri bilingual
P. 22

The comparative values of angular trigonometry in each quadrant

                            are formulated as follows.
                           a.  Quadrant                        c. Quadrant III
                                                                             −          
                                sin   ° =                          sin   ° =     = −
                                                                                        
                                                                              −          
                                cos   ° =                          cos   ° =     = −
                                                                                         
                                                                              −       
                                tan   ° =                          tan   ° =     =
                                                                              −       
                           b.  Quadrant                        d. Quadrant IV
                                                                             −          
                                sin   ° =                          sin   ° =     = −
                                                                                        
                                          −                                     
                                cos   ° =     = −                  cos   ° =
                                                                                
                                                                              −          
                                tan   ° =     = −                  tan   ° =     = −
                                          −                                              

                        2.     Comparison of Trigonometry Of Correlated Angles

                               a.  Relationship of angle    to angle (    ° −   )

                                  Look at the following picture.

                                                        y = x
                                       1.   P’(q,p)
                                                ’

                                        r


                                                         q
                                                          )
                                               90° − 1.       P(p ,   ’

                                                
                                   O       Q’        Q
                                                 ′
                                    Suppose it    (  ,   ) is a point shadow   (  ,   ) by mirroring the line
                                                                              ′
                                  =   . Known      =   , angle        =   , angle         = (90° −   ) ,
                                     ′
                               and       =      =   .

                                    Angle                            Angle (90° −   )
                                  Note ∆                              Note ∆  ′    ′
                                                                                                  
                           sin    =        csc    =   sin (90° −   ) =               csc (90° −   ) =
                                                                                                  
                                                                                                   
                           cos    =        sec    =   cos (90° −   ) =               sec (90° −   ) =
                                                                                                   
                                      
                                                                         
                                                                                                   
                                                     
                           tan    =        cot    =   tan (90° −   ) =               cot (90° −   ) =
                                                                                                   






                                                                                                      9
   17   18   19   20   21   22   23   24   25   26   27