Provide an Appropriate Response $r = \frac { 1 } { 1 + \cos \theta }$

Essay

Provide an appropriate response.
-(a) Graph the curves $r = \frac { 1 } { 1 + \cos \theta }$ and $r = \frac { 1 } { 1 - \cos \theta }$ .
(b) Find polar coordinates of the points of intersection of the curves in part (a).
(c) Show that at the points of intersection the tangent lines to the curves are perpendicular to each other.