Mathematics

Problem

Determine the set of all

\theta

in the interval

0\le\theta<2\pi

that satisfies

2\cos^{2}\theta-3\sin\theta=0

. a)

\theta=\dfrac{\pi}{3},\dfrac{5\pi}{3}

\theta=\dfrac{\pi}{6},\dfrac{7\pi}{6}

\theta=\dfrac{\pi}{6},\dfrac{5\pi}{6}

\theta=\dfrac{7\pi}{6},\dfrac{11\pi}{6}