How do you graph the polar equation r^2=9sin2theta?

1 Answer
Nov 8, 2016

(x^2+y^2)^2-18xy=0

Explanation:

x=rhocostheta from which costheta=x/rho
y=rhosintheta from which sintheta=y/rho
rho=root2(x^2+y^2)
rho^2=x^2+y^2
rho^2=18sinthetacostheta=
rho^2=18(xy)/rho^2
rho^4=18xy
(x^2+y^2)^2=18xy