Determine the set of all in the interval that satisfies .

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

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}

(b)

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

(c)

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

(d)

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