Last Updated 10/28/2022

Sage Essentials
Section 6: Plotting Curves

The polar_plot command

Graphs of polar equation  $r=f\left(\theta \right)$  are handled by the polar_plot command.

Example 3

Plot the polar equation  $r(\theta )=\sin (3\theta )$ for $0\le \theta \le \frac{5\pi }{6}$.

Note that we use the default variable x here instead of defining a new variable “theta”. If you want to use the variable $\theta$. You can use the following codes.

Try this!

Graph the limaçons $r\left(\theta \right)=1+2\sin \theta$  on $\left[0,2\pi \right]$.