Question

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

Answer 1

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

Explanation:

Using the formulae that links Cartesian to Polar coordinates.

`• y = rsintheta`

`• x =rcostheta`

then : `rsintheta =3rcostheta + 2`

and `rsintheta - 3rcostheta = 2`

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

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