Find the area of one loop of the lemniscate defined by .

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Find the area of one loop of the lemniscate defined by

r^{2}=16\cos 2\theta

. (a)

4

(b)

2\pi

(c)

8

(d)

16