Answer:
The correct choice is (0,-3)
Step-by-step explanation:
To convert from polar coordinates to rectangular coordinates, we use the parametric equations:
[tex]x=r\cos \theta[/tex] and [tex]y=r\sin \theta[/tex]
The point given to us in polar coordinates is [tex](3,\frac{3}{2}\pi)[/tex].
where [tex]r=3,\theta=\frac{3\pi}{2}[/tex]
[tex]x=3\cos (\frac{3\pi}{2})[/tex] and [tex]y=3\sin( \frac{3\pi}{2})[/tex]
[tex]x=3(0)[/tex] and [tex]y=3(-1)[/tex]
[tex]x=0[/tex] and [tex]y=-3[/tex]
The correct choice is (0,-3)
