Question

How do you convert the polar equation `r=5/(4costheta-2sintheta)` into rectangular form?

Answer 1

`4x-2y=5`

Explanation:

The relation between polar coordinated `(r,theta)` and Cartesian rectangular coordinates `(x,y)` is given by

`x=rcostheta` and `y=rsintheta`

Hence `r=5/(4costheta-2sintheta)`

`hArr4rcostheta-2rsintheta=5`

or `4x-2y=5`