Question

How do you convert `y = 4x` to polar form?

Answer 1

`tantheta = 4`

Explanation:

using the formulae that links Cartesian to Polar coordinates.

`• x = rcostheta`

`• y = rsintheta`

hence : `rsintheta = 4rcostheta`

divide both sides by r : `4costheta = sintheta rArr tantheta = 4`