Explanation Given information :The given inverse trigonometric function is sin ( 2 tan − 1 x ) . Given that sin ( 2 tan − 1 x ) Let us put tan − 1 x = θ ⇒ x = tan ( θ ) …..(1) We get sin ( 2 θ ) We have a relation between sine and tangent given by sin ( 2 θ ) = 2 tan θ 1 + tan 2 θ …

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.5, Problem 44PS

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To Find:To simplify the given expression sin(2tan−1x) .

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Chapter 1.5, Problem 43PS

Chapter 1.5, Problem 45PS

Chapter 1 Solutions

Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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To simplify the given expression sin ( 2 tan − 1 x ) .

Solution Summary: The author explains the inverse trigonometric function mathrmsin(2thetan-1x).

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To Find:To simplify the given expression sin(2tan−1x) .

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Chapter 1 Solutions