March 23, 2015
Obj: To learn about the Polar Coordinate System, and convert
points and equations between rectangular and polar systems.
Coordinate Conversion
x = r cos O
r
y
y = r sin O
r2 = x2 + y2
O
x
tan O = y
x
March 23, 2015
Obj: To learn about the Polar Coordinate System, and convert
points and equations between rectangular and polar systems.
Describe the graph of each polar equation and find the corresponding
rectangular equation.
1. r = 3
March 23, 2015
March 23, 2015
Obj: To learn about the Polar Coordinate System, and convert
points and equations between rectangular and polar systems.
2. O =
3
March 23, 2015
3. r = sec O
Obj: To learn about the Polar Coordinate System, and convert
points and equations between rectangular and polar systems.
March 23, 2015
Obj: To learn about the Polar Coordinate System, and convert
points and equations between rectangular and polar systems.
4.
r = -3sinθ
March 23, 2015
Obj: To learn about the Polar Coordinate System, and convert
points and equations between rectangular and polar systems.
Convert the rectangular equation to a polar equation.
2
2
5. x = 2
6. x + y = 16
7.
2
2
(x-3) + y = 9
8. y = x2
March 23, 2015
Obj: To learn about the Polar Coordinate System, and convert
points and equations between rectangular and polar systems.
HW:
(HR) (6.4) Pg.492: 1-5, 7-15odd, 19, 21, 35-49odd