9. Polar Equations

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

x² + y² = 16

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

Convert each equation to its polar form.

$3y-5x=2$

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

Convert each equation to its rectangular form.

$r=-4\(\cos\]\theta\)$

In Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 4 csc θ

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

x² = 6y

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

x² + (y + 3)² = 9

In Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 8

Convert each equation to its polar form.

$x^2+(y-2)^2=4$

Convert each equation to its polar form.

$y-x=6$

Convert each rectangular equation to a polar equation that expresses r in terms of θ.

y = 3

Convert each equation to its polar form.

$x^2+y^2=2y$

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

In Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. (x − 2)² + y² = 4