1. S p. 702: 1-19 odd, 25-29 odd, 37-47 odd

2. Rectangular (Cartesian) coordinates plot a point by moving left/right and up/down (making a rectangle)  Polar coordinates find the same point in a different way r = distance from the origin (radius) θ = angle with positive x-axis Polar Coordinates

3. Ex. The Cartesian coordinates of a point are given, find the polar coordinates. a)(0,1) b) c)

4. Polar  RectRect  Polar Ex. The polar coordinates of a point are given, find the Cartesian coordinates. a)(2,π) b)

5. Ex. Find the polar equation for the curve. a) x 2 + y 2 = 3y b) x 3 y 2 + ln y = 3

6. Ex. Find the Cartesian equation for the curve. a) r = cos θ b) sin θ = r 2 cos θ

7. Ex. Sketch the polar equation r = 3

8. Ex. Sketch the polar equation θ =

9. Ex. Sketch the polar equation r = sec θ.

10. Ex. Sketch the polar equation r = 2cos5θ Now use your calculator.

11. Ex. For the polar graph r = 3 – 2sin θ, find

12. For the function r = f (θ), Ex. Find the equation of the tangent line to r = sin θ when θ =