The curve produces a four-petaled rose

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

The curve

r = 4\sin(2\theta)

produces a four-petaled rose. Which interval of

\theta

gives exactly one petal without any retracing? (a)

0 \leq \theta \leq \dfrac{\pi}{4}

(b)

0 \leq \theta \leq \pi

(c)

0 \leq \theta \leq \dfrac{\pi}{2}

(d)

-\dfrac{\pi}{4} \leq \theta \leq \dfrac{\pi}{4}