Question

How do you convert `(-2, -pi/2)` into rectangular coordinates?

Answer 1

`color(crimson)((x,y) = (0, -1)`

Explanation:

`"Given " (r,theta) = (-2, -pi/2)`

`x = r cos theta = -2 cos (-(pi/2)) = 0 " as " cos (-pi/2) = 0`

`y = r sin theta = -2 * sin (-pi/2) = 2 " as " sin (-pi/2) = -1`