1. Polar Coordinates (MAT 170) Sections 6.3

2. Objectives Plot point in the polar coordinate system
Find multiple sets of polar coordinates for a given point
Convert between polar and rectangular coordinates
Convert between equations given in rectangular coordinates and equations given in polar coordinates

3. Plot the point

4. Multiple Representations of Polar Points
Polar Coordinates (MAT 170)
Multiple Representations of Polar Points
if n is any integer, the point (r, θ) can be represented as

5. Find another representation (in polar coordinates) for the point
Polar Coordinates (MAT 170)
Find another representation (in polar coordinates) for the point

6. Relationships Between Polar and Rectangular Coordinates
Polar Coordinates (MAT 170)
Relationships Between Polar and Rectangular Coordinates

7. Find the rectangular coordinates for the point
Polar Coordinates (MAT 170)
Find the rectangular coordinates for the point

8. Polar Coordinates (MAT 170)
Find the polar coordinates for the point (given in rectangular coordinates) such that r > 0 and 0 ≤ θ < 2π

9. Polar Coordinates (MAT 170)
Convert the rectangular equation to a polar equation. Express r in terms of θ.

10. Convert the polar equation to a rectangular equation.
Polar Coordinates (MAT 170)
Convert the polar equation to a rectangular equation.

11. Convert the polar equation to a rectangular equation.
Polar Coordinates (MAT 170)
Convert the polar equation to a rectangular equation.