Graphing Polar Equations

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GRAPHS OF THE POLAR EQUATIONS r = a ± b cos θ r = a ± b sin θ

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Presentation transcript:

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.

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

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

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

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

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

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