What is the Cartesian form of (81,(24pi)/12)?

1 Answer
Jan 16, 2018

(81,0)

Explanation:

polar form: (r, theta)
cartesian form: (x,y)

x = r cos theta
y = r sin theta

here, r = 81, theta = (24pi)/12
theta = 2pi

r cos theta = 81 cos 2pi

= 81 * 1

= 81

r sin theta = 81 sin 2pi

= 81 * 0

= 0

x = 81, y = 0

cartesian coordinates: (81, 0)