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AP® Calculus AB-BC

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Moderate

Tangent Lines with Polar Curves

APCALC-4FFHYL

Find the tangent line to the polar curve $r=2$ at the point when $\theta=\cfrac{\pi}{3}$.

A

$y=-\cfrac{\sqrt{3}}{3}x+\cfrac{4\sqrt{3}}{3}$

B

$y=0$

C

$y=\sqrt{3}$

D

$y=-\cfrac{\sqrt{3}}{3}x+\cfrac{2\sqrt{3}}{3}$