Question

Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 3 comma 5 pi divided by 3. for my answer I keep getting -3, -1

Answer 1

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