Question

How do you convert `xy=16` to polar form?

Answer 1

`r^2sin2theta=32`

Explanation:

Relation between polar coordinates `(r,theta)` and rectangular coordinates `(x,y)` is given by `x=rcostheta` and `y=rsintheta`.

Hence `xy=16` is equivalent to

`r^2sinthetacostheta=16` or

`r^2xx2sinthetacostheta=32` or

`r^2sin2theta=32`

graph{xy-16=0 [-10, 10, -10, 10]}