Question

Sketch the graph of the polar equation using symmetry, zeros, maximum  r-values, and any other additional points.

Answer 1

Step 1:

The polar equation .

In this case there are no maximum values and zeros of the equation.

Graph the above polar equation using some polar coordinates.

For  ,

For ,

For ,

For ,

For ,

Step 2:

Construct a table for a different values of .

Step 3:

Graph:

Draw the polar coordinate plane.

Plot the  polar coordinates found in the table.

Connect the points.

Solution:

.