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

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

1 Answer

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Answer 1 · 2016-09-07T14:01:12

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

Explanation:

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

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

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

1 Answer

Explanation:

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

1 Answer

Explanation:

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Impact of this question

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