Cartesian and Polar Grapher
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.
The information about how r changes with θ can then be used to sketch the graph of the equation in the polar coordinate system.
Drag the slider at the bottom right to change the value of θ and watch the curve be drawn.