Question

How do you find the polar equation of `xy=4`?

Answer 1

`rcostheta*rsintheta = 4 -> r^2 = 4 (1/sin theta)(1/costheta) = 4 csc theta sectheta`

Explanation:

Substitute in `r cos theta` for x and `rsin theta` for y then isolate `r^2`. If you want to solve for r you have to take the square root of both sides.