Question

How do you convert `(-5, 5 pi/2)` to rectangular form?

Answer 1

Rectangular coordinates are `color(maroon)((0, -5)`

Explanation:

Polarcoordinates `(r, theta) = (-5, (5pi)/2)`

To conver to rectangular coordinates

`x = r cos theta, y = r sin theta`

`x = -5 * cos ((5pi)/2) = 0`

`y = -5 * sin ((5pi)/2) = -5`

Rectangular coordinates are `color(maroon)((0, -5)`