Explanation Given information: tan 2 x Formula used: tan x = sin x cos x Calculation: Derive that tan 2 x = 2 tan x 1 − tan 2 x Now tan 2 x = sin 2 x cos 2 x [ sin 2 x = 2 sin x cos x cos 2 x = cos 2 x − sin 2 x ]

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 1.4, Problem 54E

To determine

Derive the identity tan2x=2tanx1−tan2x.

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Chapter 1.4, Problem 53E

Chapter 1.4, Problem 55E

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Chapter 1 Solutions

Calculus: Early Transcendentals

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Derive the identity tan 2 x = 2 tan x 1 − tan 2 x .

Solution Summary: The author calculates that mathrmtan2x=2.

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Derive the identity tan2x=2tanx1−tan2x.

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Chapter 1 Solutions