Question

How do you convert `2x-3y=5` into polar form?

Answer 1

`r = 5/(2costheta - 3sintheta )`

Explanation:

Using the formulae that links Cartesian to Polar coordinates.

`• x = rcostheta`

`• y = rsintheta`

hence 2x - 3y = 5 , becomes :

`2rcostheta - 3rsintheta = 5`

take out common factor of r

`r(2costheta - 3sintheta ) = 5`

`rArr r = 5/(2costheta - 3sintheta )`