Mathematics

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}

0 \leq \theta \leq \pi

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

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