For the curve

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

Problem

For the curve

r=1+2\sin\theta

, at which of the following values of

\theta

does the curve have a horizontal tangent line? (a)

\dfrac{7\pi}{6}

(b)

\dfrac{\pi}{2}

(c)

0

(d)

\dfrac{\pi}{6}