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

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Answer 1 · 2016-09-07T14:01:12

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

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

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

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