Mathematics

Problem

Solve

\sin 3x + 2\sin 3x\cos x = 0

for

x

in the interval

[0,2\pi)

. a)

0,\;\dfrac{2\pi}{3},\;\pi,\;\dfrac{4\pi}{3},\;2\pi

0,\;\dfrac{\pi}{3},\;\dfrac{2\pi}{3},\;\pi,\;\dfrac{4\pi}{3},\;\dfrac{5\pi}{3}

\dfrac{2\pi}{3},\;\dfrac{4\pi}{3}

0,\;\dfrac{\pi}{3},\;\dfrac{2\pi}{3},\;\pi,\;\dfrac{3\pi}{2},\;\dfrac{5\pi}{3}