Explanation Given information : The identity csc − 1 x = sin − 1 ( 1 x ) , for all | x | ≥ 1 to be proved. Formula used : Following formula is used to prove the given identity. csc x = 1 sin x Calculation : Let csc − 1 x = t So, x = csc t = 1 sin

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 57PS

To determine

To prove the identity

csc−1x=sin−1(1x), for all |x|≥1

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Chapter 1.5, Problem 56PS

Chapter 1.5, Problem 58PS

Chapter 1 Solutions

Calculus

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To prove the identity csc − 1 x = sin − 1 ( 1 x ) , for all | x | ≥ 1

Solution Summary: The author explains how the following formula is used to prove the given identity.

Concept explainers

Videos

To prove the identity

csc−1x=sin−1(1x), for all |x|≥1

Want to see the full answer?

Chapter 1 Solutions

To prove the identity csc − 1 x = sin − 1 ( 1 x ) , for all | x | ≥ 1

Solution Summary: The author explains how the following formula is used to prove the given identity.

Concept explainers

Videos

To prove the identity csc−1x=sin−1(1x), for all |x|≥1

Want to see the full answer?

Chapter 1 Solutions

To prove the identity

csc−1x=sin−1(1x), for all |x|≥1