Convert r^2 = sin(2theta) in rectangular plz ty show work?

Answer 1

sin 2theta = 2 sin theta * cos theta
cos theta =x/r and sin theta = y/r
so
r^4 = 2xy but r^4 = (x^2+y^2)^2
so
(x^2+y^2)^2 -2xy=0