Question

How do you convert `r = 8 sin θ` into rectangular equations?

Answer 1

`x^2 + y^2 = 8y`

Explanation:

using : y = `rsintheta rArr sintheta = y/r`

then r `= (8y)/r`

( multiply both sides by r )

hence : `r^2 = 8y`

(now using `r^2 = x^2 + y^2`)

`rArr x^2 + y^2 = 8y`