Mathematics

Problem

For

0\le\theta\le\pi

, the curves

r=\sin\theta

and

r=\sin 2\theta

bound a region. What is the exact area of this region? a)

\dfrac{3\sqrt3}{32}

\dfrac{3\sqrt3}{16}

\dfrac{\sqrt3}{16}

\dfrac{3\sqrt3}{8}