The correct answer is C. ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2
(r,θ) = (x,y)
x = r cosθ
y = r sinθ
Since your θ is 5π3, set your calculator to radians before taking the sine and cosine.
(3 cos 5π / 3, 3 sin 5π / 3)
(3 1 / 2, 3 - sqrt(3) / 2)
(3 / 2, −3 sqrt (3) / 2)
if r = -3, then x is negative, y is positive.
Here are the following choices:
A. ordered pair negative 3 divided by 2 comma 3 divided by 2
B. ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2
C. ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2
D. ordered pair 3 divided by 2 comma negative 3 divided by 2
