Figure 4.3.2. Graph of \ (r=1+3\cos (2\theta)\text {?}\) Consider the curve given by the polar equation \ (r=1-2\sin \theta\text {,}\) for \ (0\leq \theta \lt 2\pi\text {.}\) Find the Cartesian ...

To sketch the graph of a polar equation a good first step is to sketch the graph in the Cartesian coordinate system. This will give a way to visualize how r changes with θ.