How do you convert 3y= 2x^2-2x-7y^2 into a polar equation?

1 Answer
Oct 8, 2017

7rsin^2theta-2rcos^2theta+2costheta+3sintheta=0

Explanation:

y=rsin (theta) & x=rcos (theta)
3r sin(theta)=2r^2cos^2(theta)-2rcos(theta)-7r^2sin^2(theta)
7r^2sin^2theta-2r^2cos^2theta+2rcostheta+3rsintheta=0
7rsin^2theta-2rcos^2theta+2costheta+3sintheta=0