Mathematics

Problem

Let

r_1(\theta)=2\sin\theta

and

r_2(\theta)=\sin\theta+1

. These curves enclose a finite region that lies entirely in the first quadrant. What is the exact area of this region? a)

\dfrac{\pi}{8}-1

2-\dfrac{\pi}{4}

1-\dfrac{\pi}{8}

\dfrac{3\pi}{8}-1