1. Graphing Polar Equations
Graphing polar equations is similar to graphing rectangular equations in that we plot some points to get an idea of the shape of the graph.

2. Example 1:
Sketch the graph:
First find some ordered pairs and then plot the points.

4. At θ = π the points start repeating
At θ = π the points start repeating. Draw a smooth curve through the points.

5. Example 2:
Sketch the graph:
This time let’s start with the knowledge that any equations of the form …
… are circles.

6. Plot just a few points to determine where the circle is.

7. Example 3:
Sketch the graph:
Equations of the form …
… are cardioids (heart shaped).

8. Plot just a few points to determine where the cardioid is.