# The ellipse ((x^2)/(2^2) + (y^2)/(3^2))=1 can be drawn with what parametric equations?

$x = 2 \cos \theta , y = 3 \sin \theta$
use the Pythagorean ID: ${\cos}^{2} \Psi + {\sin}^{2} \Psi = 1$
so if you have $\frac{x}{2} = \cos \theta , \frac{y}{3} = \sin \theta$, then ${\left(\frac{x}{2}\right)}^{2} + {\left(\frac{y}{3}\right)}^{2} = 1$