find and graph the two functions defined implicitly by each given relation.

$$y^2=-5x$$

$\textbf{(a)}$

When $t=0$,

$$x=\cos 0=1$$

$$y=\sin 0=0$$

When $t=\frac{\pi}{2}$,

$$x=\cos \frac{\pi}{2}=0$$

$$y=\sin \frac{\pi}{2}=1$$

When $t=\pi$,

$$x=\cos \pi =-1$$

$$y=\sin \pi =0$$

When $t=\frac{3\pi}{2}$,

$$x=\cos \frac{3\pi}{2}=0$$

$$y=\sin \frac{3\pi}{2}=-1$$

When $t=2\pi$,

$$x=\cos 2\pi =1$$

$$y=\sin 2\pi =0$$

$$\color{white}\tag{1}$$

So, the completed table will be: