Find the rectangular coordinates of the point with the given polar coordinates.
-$\left( 2 , \frac { 3 } { 2 } \pi \right)$
A) $( 0 , - 2 )$
B) $( 0,2 )$
C) $( 2,0 )$
D) $( - 2,0 )$

Question

Quizplus · Accepted Answer

The polar coordinates $(r, \theta) = \left( 2 , \frac { 3 } { 2 } \pi \right)$ can be converted to rectangular coordinates using the formulas $x = r \cos(\theta)$ and $y = r \sin(\theta)$. Here, $\cos\left(\frac{3}{2}\pi\right) = 0$ and $\sin\left(\frac{3}{2}\pi\right) = -1$, so $x = 2 \cdot 0 = 0$ and $y = 2 \cdot (-1) = -2$, resulting in the point $(0, -2)$.

Find the Rectangular Coordinates of the Point with the Given (2,32π)\left( 2 , \frac { 3 } { 2 } \pi \right)(2,23​π)

Find the Rectangular Coordinates of the Point with the Given $\left( 2 , \frac { 3 } { 2 } \pi \right)$