For the polar equation :

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

For the polar equation

r=2\sin(3\theta)

: (a) (a) Complete the table for the polar equation.

$\theta$	$0$	$\frac{\pi}{6}$	$\frac{\pi}{3}$	$\frac{\pi}{2}$	$\frac{2\pi}{3}$	$\frac{5\pi}{6}$	$\pi$
$r$

(b) (b) Plot the corresponding points.