Explanation Given information: Formula used: Hypotenuse 2 = Side 2 + Side 2 Calculation: Here the length of the altitude is b sin θ . Now applying the Pythagorean Theorem to the right angle on the right in the above figure, it can be simplified as follows. Hypotenuse 2 = Sise 2 + Side 2 c 2 = ( a − b cos θ ) 2 + ( b sin θ ) 2 c 2 = a 2 − 2 ( a ) ( b cos θ ) + ( b cos θ ) 2 + ( b sin ) 2 ( Applying ( a − b ) 2 formulae )

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 1.4, Problem 62E

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Derive the law of cosines from the pythagorean theorem.

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Chapter 1.4, Problem 61E

Chapter 1.4, Problem 63E

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Chapter 1 Solutions

Loose-leaf Version For Calculus: Early Transcendentals

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Derive the law of cosines from the pythagorean theorem.

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Chapter 1 Solutions