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AP® Calculus AB-BC

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Moderate

Converting the Equation of an Ellipse to Parametric Form

APCALC-UEJQBZ

Converting $\cfrac { { x }^{ 2 } }{ 4 } +\cfrac { { y }^{ 2 } }{ 25 } =1$ to parametric form will result in which of the following pairs of equations?

A

$x=2\cos { \theta \ ; \ y=5\sin { \theta } } $

B

$x=4\cos { \theta \ ; \ y=25\sin { \theta } } $

C

$x=5\cos { \theta \ ; \ y=2\sin\theta } $

D

$x=25\cos { \theta \ ; \ y=4\sin { \theta } } $