Question

#1. Find all solutions to the equation. sin2x + sin x = 0. #2. If sinx (sinx+1) = 0 sinx = 0 sinx = -1, solve for x.

Answer 1

#2. sin x (sin x + 1) = 0
sin x = 0 or sin x + 1 = 0
sin x = 0 or sin x = -1
$x= sin^{-1}0 \ or \ x = sin^{-1}(-1) \\ x= 0, \ \pi, \ 2 \pi \ or \ x= \frac{3 \pi }{2}$