Trigonometric Parametrization of an Ellipse - Maple Help

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Trigonometric Parametrization of an Ellipse

Description

For an ellipse defined by a general quadratic equation in x and y, the trigonometric parametrization is obtained. The conic determined by this equation is graphed, and so is the parametrized version.

 

The graphs serve as validation of the parametrization - if the graph of the original quadratic and the graph of the parametric form coincide, then that is taken as evidence that the parametrization is correct.

Trigonometric Parametrization of an Ellipse

Quadratic in x and y:    

                                

xt=

yt=

 

 

 

See Also

Student[Precalculus][ConicsTutor], geometry[ellipse], geometry[detail]


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