9. Polar Equations

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)

In Exercises 35–44, test for symmetry and then graph each polar equation.r = 2 + 3 sin 2θ

In Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. _(−√3,−1)

In Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians.(5, 0)

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ.3x + y = 7

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ.x = 7

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ.x² + y² = 9

In Exercises 54–60, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.θ = 3π/4