Chapter H.1, Problem 67E

To determine

To graph: The polar curve $r=\frac{1-\cos \theta }{1+\cos \theta }$ as the number a changes.

Explanation of Solution

Given: $r=\frac{1-\cos \theta }{1+\cos \theta }$

The given polar curve, $r=\frac{1-\cos \theta }{1+\cos \theta }$

Here would be many number of graph because depend on a.

For $a=0$

  

This is shape of circle.

For $a=1$

  

This is shape of heart.

For $a>1$

  

This jelly type structure.