The curve passes through the origin when

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

The curve

r=1+\cos\theta

passes through the origin when

\theta=\pi

. At that value of

\theta

, determine whether the tangent line is horizontal, vertical, or neither, and state the limiting value of the slope

\dfrac{dy}{dx}

at that point.