Question

Find all solutions in the interval [0, 2π).

(sin x)(cos x) = 0

Answer 1

\[\sin x \cos x=0,2\sin x \cos x=0,\sin 2x=0=\sin 0,\sin \pi ,\sin 2 \pi, \sin 3 \pi \]
\[2 x=0,\pi,2\pi,3\pi\]
find x

Answer 2

so 0, pi/2, pi, 3pi/2?

Answer 3

correct.