At , the polar curve defined by intersects the origin. Which description best…
MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions
Problem
At θ=0, the polar curve defined by r=θ2sinθ intersects the origin. Which description best characterizes the tangent line to the curve at that point?
(a) The tangent is vertical only.
(b) No horizontal or vertical tangent exists; the slope is a finite non-zero value.
(c) The tangent is horizontal only.
(d) Both horizontal and vertical tangents occur at the origin (a cusp).