Parametric Equations for an Ellipse

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Homework Help Overview

The discussion revolves around finding parametric equations for an ellipse based on its rectangular equation, specifically the equation \(((y-2)^2)/49)-((x-1)^2)/9)=1\).

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to relate the given equation to a more familiar form, such as \(x^2+y^2=1\), and are questioning the geometric figure represented by the original equation. Some participants are seeking simpler explanations or clues to aid their understanding.

Discussion Status

The discussion is ongoing, with participants expressing confusion and requesting simpler explanations. A clue involving trigonometric identities has been introduced, suggesting a potential direction for exploration.

Contextual Notes

Some participants have indicated difficulty in understanding the problem, which may suggest a need for more foundational knowledge or clarification of concepts related to parametric equations and ellipses.

metking92
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Write a pair of parametric equations for the figure whose rectangular equation is
((y-2)^2)/49)-((x-1)^2)/9)=1


please help me
 
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Compare it to the equation [itex]x^2+y^2=1[/itex] which is almost the same. Does this equation look familiar? Do you what kind of geometric figure it represents? Can you find a parametrization for this simplified problem?
 
Hi i am sorry but i still don't understand this. Is there anyway you can make it simpler.
 
metking92 said:
Hi i am sorry but i still don't understand this. Is there anyway you can make it simpler.

Here is a clue

if sin2x+cos22=1

and you divide throughout by cos2x, what do you get?
 

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