Question

Graphs of polar functions: Use polar coordinates to graph each of the following functions.

$r=2-\sqrt{8}\sin \theta$

Short answer

The graph of the function$r=2-\sqrt{8}\sin \theta$ is,

Step-by-step solution

Given information.

The given equation is$r=2-\sqrt{8}\sin \theta$

Graph.

The table for $r=2-\sqrt{8}\sin \theta$

$\theta$	$r$
$0$	$2$
$\frac{\mathrm{\pi }}{2}$	$2\left(1-\sqrt{2}\right)$
$\frac{\mathrm{\pi }}{6}$	2-2$2-\sqrt{2}$

Plot the points on the graph, the resultant graph of the function is,