The entered responses are correct
Explanation:Write out the points from the given information to see the nature of the ellipse as follows:
[tex]\begin{gathered} x=4\cos\frac{\pi}{2}=0 \\ \\ y=3\sin\frac{\pi}{2}=3 \\ \\ (x,y)=(0,3) \end{gathered}[/tex][tex]\begin{gathered} x=4\cos\pi=-4 \\ \\ y=3\sin\pi=0 \\ \\ (x,y)=(-4,0) \end{gathered}[/tex][tex]\begin{gathered} x=4\cos\frac{3\pi}{2}=0 \\ \\ y=3\sin\frac{3\pi}{2}=-1 \\ \\ (x,y)=(0,-1) \end{gathered}[/tex]