A periodic curve in the -plane satisfies the following properties: it passes through…

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

Problem

A periodic curve in the

xy

-plane satisfies the following properties: it passes through the point

(0,1)

, has period

2\pi

, attains its minimum value

-1

\theta = \pi

, and is symmetric about the

y

-axis. Show that the curve can be represented by

y = \cos\theta