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

Question

Quizplus · Accepted Answer

The polar coordinates $(3, -\frac{\pi}{3})$ convert to rectangular coordinates using $x = r \cos \theta$ and $y = r \sin \theta$. Here, $x = 3 \cos(-\frac{\pi}{3}) = \frac{3}{2}$ and $y = 3 \sin(-\frac{\pi}{3}) = -\frac{3\sqrt{3}}{2}$.

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

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