Answer:
(0,-4)
Step-by-step explanation:
To convert from the polar coordinates to rectangular coordinates use;
[tex]x=r\cos\theta[/tex] and [tex]y=r\sin\theta[/tex]
The given polar coordinate is;
[tex](4,\frac{3\pi}{2})[/tex]
This implies that;
r=4 and [tex]\theta=\frac{3\pi}{2}[/tex]
We substitute to obtain;
[tex]x=4\cos(\frac{3\pi}{2}) [/tex] and [tex]y=4\sin(\frac{3\pi}{2})[/tex]
[tex]x=0 [/tex] and [tex]y=-4[/tex]
(0,-4)
