Give the rectangular coordinates for the point.
-$\left( - 5,330 ^ { \circ } \right)$
A) $\left( \frac { 5 \sqrt { 3 } } { 2 } , - \frac { 5 } { 2 } \right)$
B) $\left( - \frac { 5 } { 2 } , \frac { 5 \sqrt { 3 } } { 2 } \right)$
C) $\left( \frac { - 5 \sqrt { 3 } } { 2 } , \frac { 5 } { 2 } \right)$
D) $\left( - \frac { 5 } { 2 } , \frac { - 5 \sqrt { 3 } } { 2 } \right)$

Question

Quizplus · Accepted Answer

The polar coordinates $(-5, 330^\circ)$ convert to rectangular coordinates using $x = r \cos \theta$ and $y = r \sin \theta$. Here, $r = -5$ and $\theta = 330^\circ$. Thus, $x = -5 \cos 330^\circ = \frac{-5\sqrt{3}}{2}$ and $y = -5 \sin 330^\circ = \frac{5}{2}$.

Give the Rectangular Coordinates for the Point (−5,330∘)\left( - 5,330 ^ { \circ } \right)(−5,330∘)

Give the Rectangular Coordinates for the Point $\left( - 5,330 ^ { \circ } \right)$