Question

How do you convert `xy = 4` into polar form?

Answer 1

`r^2=8csc 2theta`

Explanation:

`x = r cos theta and y = r sin theta`.
`r^2sin theta cos theta=4`.

Using `sin 2theta = 2 sin theta cos theta`,
`r^2=8csc 2theta`

This is the polar equation of a rectangular hyperbola, with axes of co-ordinates as asymptotes.