Question

Find all solutions in the interval [0, 2π).
sin2 x + sin x = 0

Answer 1

hint sin2x=2sinxcosx

Answer 2

factor after that

Answer 3

\[\sin 2x+\sin x=0 \Longrightarrow 2\sin x\cos x+\sin x=0\]
\[\sin x(2\cos x+1)=0 \]
\[\sin x=0 ~~or~~ \cos x= \frac{-1}{2}\]

Answer 4

finish it up...