Find an Equation of Y as a Function of X $$x = 3 \sin t , \quad y = 4 \cos t , \quad t \in [ 0,2 \pi ]$$

Multiple Choice

Find an equation of y as a function of x for the parametric equations given below by eliminating the parameter. Also, indicate the direction of the curve. $$x = 3 \sin t , \quad y = 4 \cos t , \quad t \in [ 0,2 \pi ]$$

A) $9 x ^ { 2 } + 9 y ^ { 2 } = 144 , \quad \text { counterclockwise }$
B) $9 x ^ { 2 } + 16 y ^ { 2 } = 144 , \quad \text { counterclockwise }$
C) $16 x ^ { 2 } + 9 y ^ { 2 } = 144 , \quad \text { counterclockwise }$
D) $16 x ^ { 2 } + 9 y ^ { 2 } = 144 , \quad \text { clockwise }$