9. Polar Equations

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

Convert each equation to its polar form.

$y-x=6$

Convert each equation to its polar form.

$3y-5x=2$

Convert each equation to its polar form.

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

Convert each equation to its polar form.

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

Convert each equation to its rectangular form.

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

Convert each equation to its rectangular form.

$r=\(\frac{2}{1-\sin\theta}\)$

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

y = 3

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 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.

y² = 6x

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. 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