Question

How do you convert `r= 45 / (5sin(t)+36cos(t))` into cartesian form?

Answer 1

`5y+36x=45`

Explanation:

The relation between Cartesian coordinates `(x,y)` and polar coordinates `(r,t)` is given by `x=rcos(t)` and `y=rsin(t)`.

Hence, `r=45/(5sin(t)+36cos(t))`

`hArr5rsin(t)+36rcos(t)=45` or

`5y+36x=45`