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