Parametric Equations and And a Parameter Interval for the Motion $x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi$

Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph
traced by the particle and the direction of motion.
- $x=2 \sin t, y=5 \cos t, 0 \leq t \leq 2 \pi$

A) $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$ ; Counterclockwise from $( 2,0 )$ to $( 2,0 )$ one rotation


B) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1$ ; Counterclockwise from , $( 5,0 )$ to $( 5,0 )$ , one rotation

C) $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 4 } = 1$ ; Counterclockwise from $( 0,2 )$ to $( 0,2 )$ , one rotation


D) $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$ ; Counterclockwise from $( 0,5 )$ to $( 0,5 )$ , one rotation