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

• A. $\frac{x^2}{4}-\frac{y^2}{16}=1$
• B. $\frac{x^2}{4}-\frac{y^2}{16}=1$
• C. $\frac{x^2}{16}-\frac{y^2}{4}=1$
• D. $\frac{x^2}{16}-\frac{y^2}{4}=1$