What is the Cartesian form of (2,15π2)?

1 Answer
Nov 19, 2016

(0,2)

Explanation:

Whereas Cartesian coordinates follow the form (x,y), polar coordinates follow the form (r,θ), where r is the radius and θ is the angle. To convert from polar to Cartesian form given both r and θ, use x=rcos(θ) and y=rsin(θ).

x=rcos(θ)
x=2cos(15π2)
x=0

y=rsin(θ)
y=2sin(15π2)
y=2

Thus, the Cartesian form of (2,15π2) is (0,2).