Consider the curve for

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

Problem

Consider the curve

r=2+4\sin\theta

for

0<\theta<\pi

. Which value of

\theta

yields the maximum radius? (a)

\dfrac{\pi}{3}

(b)

\dfrac{\pi}{2}

(c)

\dfrac{2\pi}{3}

(d)

\dfrac{\pi}{6}