1. 10.8 Graphs of Polar Equations
Limacons
Rose Curves
Lemnisactes

2. Lets Graph a Polar Equation
Make a Table for r and θ

3. Lets Graph a Polar Equation

4. Symmetry of Polar Coordinates
Symmetry with respect to a line
Line the y-axis

5. Symmetry of Polar Coordinates
Symmetry with respect to a line
Line the x-axis

6. Symmetry of Polar Coordinates
Symmetry with respect to a line
Line the x-axis

7. Remember the Maximum and Minimum of Cos and Sin function?
The Range of the Cos and Sin function
– 1 to 1
The Max. of r = 4Cosθ
would be r = 4(1) = 4
The Min. or r = 4Cosθ
r = 4( -1) = - 4

8. Remember the Zero of Cos and Sin function?
Zeros for

9. Special Polar Graphs
Limacons

10. Special Polar Graphs
Limacons

11. Special Polar Graphs
Circles

12. Special Polar Graphs
Rose Curves

13. Special Polar Graphs
Lemniscates

14. A website to Play with Polar graphing

15. Homework
Page 762 –
# 1, 3, 6, 7, 13,
17, 23, 29, 35,
45, 51, 55, 65

16. Homework
Page 762 –
# 4, 8, 12, 14,
22, 30, 34