9. Polar Equations

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 4 sin 3θ

In Exercises 27–32, select the representations that do not change the location of the given point.(4, 120°)(−4, 300°)

In Exercises 27–32, select the representations that do not change the location of the given point.(2, − 3π/4)(2, − 7π/4)

In Exercises 27–32, select the representations that do not change the location of the given point.(−2, 7π/6)(−2, −5π/6)

In Exercises 27–32, select the representations that do not change the location of the given point.(−5, − π/4)(−5, 7π/4)

In Exercises 13–34, test for symmetry and then graph each polar equation.r = 1 − 3 sin θ

In Exercises 27–32, select the representations that do not change the location of the given point.(−6, 3π)(6, −π)

In Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point.(4, 90°)

In Exercises 13–34, test for symmetry and then graph each polar equation.r cos θ = −3

In Exercises 35–44, test for symmetry and then graph each polar equation.r = cos θ/2

In Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point.(−4, π/2)

In Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point.(7.4, 2.5)

In Exercises 35–44, test for symmetry and then graph each polar equation.r = 1 / 1−cos θ

In Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians.(−2, 2)

In Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. _(2,−2√3)