Plot the point $(-3,-\(\frac{\pi}{6}\))$, then identify which of the following sets of coordinates is the same point.

Indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (3, −135°)

Test for symmetry with respect to a. the polar axis. b. the line θ = π/2. c. the pole. r = 4 + 3 cos θ

Indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (−3, −3π/4)

Convert x² + (y + 8)² = 64 to a polar equation that expresses r in terms of θ.

Use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (3, 90°)

Graph each polar equation. r = 1 + sin θ

Test for symmetry and then graph each polar equation. r = 2 cos θ