Explanation Given information :The given inverse trigonometric function is tan ( 2 sin − 1 x ) . Given that tan ( 2 sin − 1 x ) Let us put sin − 1 x = θ ⇒ x = sin ( θ ) …..(1) We get tan ( 2 θ ) Now, consider tan ( 2 θ ) = sin 2 θ cos 2 θ = 2 sin θ cos θ 1 − 2

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

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

Publisher: Kendall Hunt Publishing

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Chapter 1.5, Problem 46PS

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Chapter 1.5, Problem 45PS

Chapter 1.5, Problem 47PS

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Chapter 1 Solutions

Student's Solution and Survival Manual for Calculus

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

Solution Summary: The author explains the inverse trigonometric function of the given expression mathrmtanleft.

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

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Chapter 1 Solutions