Describe the condition that must hold at an angle for the tangent line to the polar…

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

Problem

Describe the condition that must hold at an angle

\theta_0

for the tangent line to the polar curve

r=f(\theta)

to be horizontal in the

xy

–plane. Express your answer in terms of derivatives with respect to

\theta