Philip P. answered • 04/13/18

Tutor

5.0
(472)
Effective and Patient Math Tutor

8 sin(x/2) - 5 = 0 for 0 < x < 2pi

8 sin(x/2) = 5

sin(x/2) = 5/8

x/2 = sin

^{-1}(5/8)**x = 2·sin**

^{-1}(5/8)Use you calculator to get the answer. Be sure it's set to radians, not degrees. There are actually two answers on the interval 0<x<2pi, one in the first quadrant (which your calculator gives you) and one in the second quadrant at pi-x radians.

Arturo O.

04/19/18