The ellipse ((x^2)/(2^2) + (y^2)/(3^2))=1(x222+y232)=1 can be drawn with what parametric equations?

1 Answer
Sep 7, 2016

x = 2 cos theta, y = 3 sin thetax=2cosθ,y=3sinθ

Explanation:

use the Pythagorean ID: cos^2 Psi + sin^2 Psi = 1cos2Ψ+sin2Ψ=1

so if you have x/2 = cos theta, y/3 = sin thetax2=cosθ,y3=sinθ, then (x/2)^2 + (y/3)^2= 1(x2)2+(y3)2=1