algebra precalculus - Convert the following into rectangular/cartesian form: $r^2sin2theta=1$

Question

Convert the following into rectangular/cartesian form: $r^2sin2\theta=1$

I was wondering if you would need to convert $\sin2\theta$ into the double angle formula form or if i would need to divide by r on both sides?

Answer

Double angle formula:

$$1=r^2\sin2\theta=r^2(2\sin\theta\cos\theta)=2(r\sin\theta)(r\cos\theta)$$