1. Objective: Test for symmetry in polar equations.
Warm up 1.
a. Find a point symmetric w.r.t x-axis (polar axis).
b. Find a point symmetric w.r.t. y-axis ( ).
c. Find a point symmetric w.r.t origin. *

2. To prove symmetry: X-axis (polar axis): replace with
To prove symmetry: X-axis (polar axis): replace with . Y-axis ( ): replace with ( ) . Origin (pole) : replace r with – r or replace with . Example 1 Show that the graph of is symmetry with respect to the polar axis.

3. Example 2 Prove that the graph of is symmetric with respect to the y-axis. Example 3 Prove that the graph of is symmetric with respect to the origin.

4. Assignment Pg 683 #7-12

5. Homework Check Period 2