$7)$ Consider the following parametric curve $x=sint,y=2cost,$ for $0t\frac{}{2}$

A$)$ Eliminate the parameter to find a rectangle equation for the curve

B$)$ use the parametric equations to find the slape of a tangent line when $t=\frac{}{4}$

C$)$ Use the parametric equation to set up an integral to represent the arc length of the curve. prove your answer with a graph

Please include a graph to prove your answer and solve step by step in details without the use of any AI sources thank you