Question

How do you convert `r = 5sin(θ)` to rectangular form?

Answer 1

`x^2 + y^2 = 5y`

Explanation:

using the following formulae that link Polar /Rectangular coordinates.

`• r^2 = x^2 + y^2`

`• y = rsintheta rArr sintheta = y/r`

`r = 5sintheta = 5y/r`

( multiply both sides by r )

`r^2 = 5cancel(r) y/cancel(r)`

`rArr x^2 + y^2 = 5y`