Solving Trig Equations Intro

Question

Solve sin(x)=-0.82 on 0≤ x< 2Π

 

There are two solutions, A and B, with A < B and A and B in radians to 4 decimal places.

 

A=

B=

Answer 1

sinx = -.82

x is in the 3rd or 4th quadrants where sines <0

reference angle = 55.0848 degrees = 0.3060pi radians

x = 2pi-0.3050 pi = 1.6950 pi radians = A

or pi+0.3050 = 1.3050 pi radians = B