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Hyperbola Proof Problem: For the hyperbola in 17, x = 4 + 5 sec t y = 3 + 2 tan t a

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster ISBN: 9781559533911 468

Solution for problem 27 Chapter 12-2

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 27

Hyperbola Proof Problem: For the hyperbola in 17, x = 4 + 5 sec t y = 3 + 2 tan t a. Transform the first equation so that sec t is expressed in terms of x, 4, and 5. Transform the second equation so that tan t is expressed in terms of y, 3, and 2. b. Square both sides of both transformed equations. Dont expand the squares on the side that involves x or y. c. Subtract the squared equations. d. Based on the Pythagorean property for secant and tangent, explain why the result of part c is equivalent to the Cartesian equation of a hyperbola.

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Chapter 12-2, Problem 27 is Solved
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Textbook: Precalculus with Trigonometry: Concepts and Applications
Edition: 1
Author: Foerster
ISBN: 9781559533911

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Hyperbola Proof Problem: For the hyperbola in 17, x = 4 + 5 sec t y = 3 + 2 tan t a