Question

How do you convert `(-4, (5pi/4))` into cartesian form?

Answer 1

`color(orange)("Cartesian coordinates " (x,y) = (-4, -0.2739)`

Explanation:

`"Conversion from polar to Cartesian coordinates "`

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

`(r, theta) = (-4, (5pi)/4)`

`x = r cos theta = -4 * cos ((5pi)/4) = -4`

`y = r sin theta = -4 * sin ((5pi)/4) ~~ -0.2739`