Give the rectangular coordinates for the point.
-$$\left( - 3 , \frac { 4 \pi } { 3 } \right)$$
A) $\left( \frac { 3 } { 2 } , \frac { 3 } { 2 } \right)$
B) $\left( - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right)$
C) $\left( \frac { 3 } { 2 } , \frac { 3 \sqrt { 3 } } { 2 } \right)$
D) $\left( \frac { 3 \sqrt { 3 } } { 2 } , \frac { 3 } { 2 } \right)$

Question

Quizplus · Accepted Answer

The point is in quadrant III, so the x-coordinate is negative and the y-coordinate is positive. The angle is $4\pi/3$, which is $240^\circ$. The reference angle is $60^\circ$, so the coordinates are $(-\frac{3}{2}, \frac{3\sqrt{3}}{2})$.

Give the Rectangular Coordinates for the Point (−3,4π3)\left( - 3 , \frac { 4 \pi } { 3 } \right)(−3,34π​)

Give the Rectangular Coordinates for the Point $\left( - 3 , \frac { 4 \pi } { 3 } \right)$