i forgot to mention that y>=0 and theta is from 0 to pi
But you give one equation, , in Cartesian coordinates! In polar coordinates, that is r= 1. That should be easy to draw. As for , that is what is called a "cardioid". Look it up. As far as graphing is concerned, you could just use the "old fashioned" way- calculate r for a number of values. The are beween them will be the integral of . And the integration will be between values of where the graphs cross: solve .