Question

Find the rectangular coordinates of the point with the polar coordinates ordered pair negative 7 comma 5 pi divided by 3 . (1 point)

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