Solve the following equation on the interval sin x 2 sin x

Solve the following equation on the interval sin x + 2 sin x cos x = 0 The solution set is (Type an exact answer in terms of pi Use a comma to separate answers as needed)

Solution

sin x + 2*sin x*cos x = 0

sin x *(1 + 2*cos x) = 0

sin x = 0 ========> x = 0

1 + 2*cos x = 0 ====> cos x = -1/2 ======> x = 120, 240 degree = 2pi/3, 4pi/3