Explanation Given information: cos π 8 Formula used: cos 2 θ = 2 cos 2 θ − 1 Calculation: Need to show that cos π 8 is equal 1 2 + 2 4 . Let us take the identity cos 2 θ = cos 2 θ − 1 . Now substituting θ = π 8 in cos 2 θ = 2 cos 2 θ − 1 cos 2 θ = 2 cos 2 θ − 1 cos 2 ( π 8 ) = 2 cos 2 ( π 8 ) − 1 Substituting the values cos ( π 4 ) = 2 cos 2 ( π 8 ) − 1 Simplify 2 2 = 2 cos 2 π 8 − 1 Since cos ( π 4 =

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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Question

Chapter 1.4, Problem 59E

To determine

To show that cosπ8 is equal to 12+24.

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Chapter 1.4, Problem 58E

Chapter 1.4, Problem 60E

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Chapter 1 Solutions

Loose-leaf Version For Calculus: Early Transcendentals

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To show that cos π 8 is equal to 1 2 + 2 4 .

Solution Summary: The author explains that mathrmcospi8is equal to

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To show that cosπ8 is equal to 12+24.

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Chapter 1 Solutions