Q:

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

Accepted Solution

A:
Answer: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 * cosθy = r * sinθSince 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 2B. ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2C. ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2D. ordered pair 3 divided by 2 comma negative 3 divided by 2