The polar curve is

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

Problem

The polar curve is r=a(1+2sin⁡θ)r=a\bigl(1+2\sin\theta\bigr), where a≠0a\neq 0 is a constant. Find the equation of the tangent line in Cartesian form at θ=π2\theta=\frac{\pi}{2}; your final answer should be expressed in terms of the parameter aa.

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