Page 20 - Ebook Trigonometri_Krisna Hasugian_MESP 2019
P. 20

Find an angle measure using trig functions


               Wait a minute, what happens if you have the trig ratio, but you are asked to find
               the angles measure? Grab your TI Graphing calculator and notice that above the

               sin, cos, and tan buttons, there is        ,        ,        . These are your inverse
                                                                          −1
                                                                  −1
                                                          −1
               trigonometric functions, also known as arcsine, arccosine, and arctangent.  If you
               use these buttons in conjunction with your trig ratio, you will get the angle
               measure for   !




               Let’s see some examples of this.

               Example 18                                                 8
                                                      We know that tan    =
                                                                          6
                                                                                  nd
                                                      So to find the value of θ, press 2  tan on your calculator
                                                      and then type in (8/6)
                                                                              8
                                                                                (   ) ≈ 53.13
                                                                           −1
                                                                              6
                                                                              ≈ 53.13°


               How about another

               Example 19
                                                 We are given information about the adjacent side and the
                                                 hypotenuse, so we will use the cosine function
                                                                                 1
                                                                         cos    =
                                                                                 2
                                                                             1
                                                                               (   ) = 60
                                                                          −1
                                                                             2

                                                                             = 60°














                                                                                                           19
   15   16   17   18   19   20   21   22   23   24   25