1.Find the rectangular coordinates of the point with the polar coordinates (3, ). (1 point)

(0, 3)

(0, -3)

(-3, 0)

(3, 0)

2.

Find the rectangular coordinates of the point with the polar coordinates . (1 point)

3.

Find all polar coordinates of point P where P = . (2 points)

(5, + nπ) or (-5, + nπ)

(5, + (2n + 1)π) or (-5, + 2nπ)

(5, + 2nπ) or (-5, + (2n + 1)π)

(5, + 2nπ) or (-5, + 2nπ)

4.

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°. (2 points)
(4 , 45°), (-4 , 225°)
(4 , 135°), (-4 , 315°)
(4 , 225°), (-4 , 45°)
(4 , 315°), (-4 , 135°)
5.
Use your grapher to determine which of the graphs matches the polar equation r = 1 + 2 cos θ. (2 points)
6.
Find all polar coordinates of point P = (6, 31°). (2 points)