Q. 19 - Calculus

Question

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

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

Step-by-Step Solution

Answer

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

Step 1: Given information.

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

Step 2: 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,