Question

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

Answer 1

`r=(3sintheta)/(sin2theta-7cos^2theta`

Explanation:

Use the substitution `x=rcostheta` and `y=rsintheta`
then we have
`-3rsintheta=7r^2cos^2theta-2r^2sinthetacostheta`
divding by r and `sin2theta=2sinthetacostheta`
`-3sintheta=r(7cos^2theta-sin2theta)`
`r=-(3sintheta)/(7cos^2theta-sin2theta)=(3sintheta)/(sin2theta-7cos^2theta)`