Parametric Equations for an Ellipse

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The discussion focuses on finding parametric equations for the ellipse defined by the rectangular equation ((y-2)^2)/49 - ((x-1)^2)/9 = 1. Participants compare this with the simpler equation x^2 + y^2 = 1, recognizing the geometric figure as an ellipse. There is a request for a clearer explanation and simplification of the concepts involved. A clue is provided involving trigonometric identities to aid understanding. The conversation emphasizes the need for clearer guidance in grasping the parametric representation of the ellipse.
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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 x^2+y^2=1 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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