Convert the point from polar coordinates to rectangular coordinates. Round answer to three decimal places, if necessary.
$$\left( 3 , - \frac { 3 \pi } { 2 } \right)$$
A) $( 3,0 )$
B) $( 0,3 )$
C) $( 0 , - 3 )$
D) $( - 3,0 )$
E) $( 3 , - 4.712 )$

Question

Quizplus · Accepted Answer

To convert from polar to rectangular coordinates, we use the formulas:
$$x = r \cos \theta$$ and $$y = r \sin \theta$$.
Plugging in the values we get, 
$$x = 3 \cos \left(-\frac{3\pi}{2}\right) = 0$$
and
$$y = 3 \sin \left(-\frac{3\pi}{2}\right) = 3$$
Thus, the rectangular coordinates are $(0,3)$.

Convert the Point from Polar Coordinates to Rectangular Coordinates (3,−3π2)\left( 3 , - \frac { 3 \pi } { 2 } \right)(3,−23π​)

Convert the Point from Polar Coordinates to Rectangular Coordinates $\left( 3 , - \frac { 3 \pi } { 2 } \right)$