trigonometric function

Question

Find s if sec s =1.796

Assume that s terminates in [0,π/2].

 

Round the answer to four decimal places.

Answer 1

sec(s) = 1/cos(s),   so cos(s) = 1/1.796 = 0.556792873

 

                                              s = cos^-1(0.556792873)

 

                                                 ≈ 0.9803