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AP® Calculus AB-BC

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Moderate

Tangent to Polar Curve

APCALC-Z3ZBLN

Find the equation of the line tangent to the polar curve $r=2$ at $\theta=\cfrac{\pi}{6}$.

A

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

B

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

C

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

D

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