Write the corresponding rectangular equation for the following parametric equation by eliminating $t$. Draw a graph of the plane curve using the rectangular equation. Indicate the direction of the curve that is obtained by using arrows that correspond to the increasing values of $t$.

$x=4\sin t,y=4\cos t$; $0\leq{t}\lt{2\pi}$

Write the corresponding rectangular equation for the following parametric equation by eliminating $t$. Draw a graph of the plane curve using the rectangular equation. Indicate the direction of the curve that is obtained by using arrows that correspond to the increasing values of $t$.

$x=4\csc t,y=2\cot t$

For a satellite moving in an elliptical path given by $x=-3+2\cos t$ and $y=4+5\sin t$, eliminate the parameter $t$ to express its path in the standard form of an ellipse.