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Eliminate the parameter and obtain the standard form of the rectangular equation.

0 votes

Eliminate the parameter and obtain the standard form of the rectangular equation.

Ellipse: x = h + a cos θ, y = k + b sin θ

elimination-of-parameter

asked Feb 2, 2015 in TRIGONOMETRY by anonymous

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1 Answer

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Step 1 :

The parametric equations of an ellipse are and .

Eliminate the parameter margin-bottom: -15px; :

Consider .

Consider .

Step 2 :

Trigonometric identity :

Substitute and in above equation.

The equation of an ellipse is

Solution :

The equation of an ellipse is

answered Feb 3, 2015 by Thomas Apprentice

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