Question

Use a graphing utility to graph the polar equation. Find an interval for θ for which the graph is traced only once.

Answer 1

Step 1:

The polar equation is .

Construct a table for different values of .

Step 2:

Graph:

(1) Draw the polar co-ordinate plane.

(2) Plot the polar points.

(3) Connect the points to a smooth curve.

Observe the graph:

The graph of the curve is traced once between the intervals .

Solution:

The graph of the polar equation is