Question

How do you convert `6y= 8x+2` into a polar equation?

Answer 1

`r = 1/(3sintheta - 4costheta)`

Explanation:

using the formulae that links Cartesian to Polar coordinates.

`• x = rcostheta`

`• y = rsintheta`

hence converting the question to

`6rsintheta =8rcostheta + 2`

and `6rsintheta - 8rcostheta = 2`

factorising gives : `2r(3sintheta - 4costheta) = 2`

divide both sides by 2 : `r(3sintheta - 4costheta) = 1`

`rArr r = 1/(3sintheta - 4costheta)`