Question

How do you convert `r(4sintheta - cos theta) = 1` into cartesian form?

Answer 1

`4y-x=1`

Explanation:

The relation between a polar coordinate `(r,theta)` and Cartesian coordinates `(x,y)` is given by `x=rcostheta` and `y=rsintheta`

Also note that `r^2=x^2+y^2` and `y/x=tantheta`

Hence `r(4sintheta-costheta)=1` can be written as

`4rsintheta-rcostheta=1` or

`4y-x=1`