For the polar graph

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

For the polar graph

r=3\sin\theta

, find the equation of the normal line (the line perpendicular to the tangent) at the point corresponding to

\theta=\frac{\pi}{6}

. Give your result in Cartesian point–slope form.