Question

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

Answer 1

`x = 2 cos theta, y = 3 sin theta`

Explanation:

use the Pythagorean ID: `cos^2 Psi + sin^2 Psi = 1`

so if you have `x/2 = cos theta, y/3 = sin theta`, then `(x/2)^2 + (y/3)^2= 1`