1. 10.4A Polar Equations Rectangular: P (x, y) Polar: P (r,  )  r = radius (distance from origin)   = angle (radians)

2. Ex 1: Plot the points a) (1, 7  /4) b) (3,  5  /6) c) (3,  3  ) d) (  4,  /3)

3. Converting:  x = r cos   y = r sin  &  r 2 = x 2 + y 2  tan  = y/x

4. Ex 2: Convert from Polar to Rectangular: (5,  7  /6)

5. Ex 3: Convert from Rectangular to Polar: (  7, 7)

6. Ex 4: Sketch the Graph a) r = 2 b)  = 3

7. Ex 5: Convert to Polar Coordinates a) x 2 = 4y b) x = 3

8. Ex 6: Sketch the Graph using your graphing calculator: a) r = cos (2  /3)+sin  b) r = 2 + c sin  c = 3, 2.5, 2, 1.5, 1 Polar Graphs

9. a) r = 3 sin  b) r = 2  2 cos  c) r = 5 sin 2  Ex 7: Sketch the Graph & Convert to Rectangular Coordinates

10. HW – 10.4A pg. 668 3, 5, 9 – 25 odds, 29, 31, 36 – 39 all, 45, 46, 56