Chapter 9.2, Problem 15E

To determine

To draw: the polar pattern.

Explanation of Solution

Given information:

The polar pattern is $r=2\sin 3\theta$ .

Graph: to draw the pattern, use the plotting point method,

$\theta$	$r$
$0$	$0$
$\frac{\pi }{2}$	$-2$
$\pi$	$0$

By using the above table, and join the points,

The graph can be obtained as:

  

Interpretation: from the above graph it can be observed that the type of curve is polar rose.