Explanation Given information: We must show that: cosh ( x + y ) = cosh x cosh y + sinh x sinh y Formula used: Hyperbolic function of cos x and sin x : cosh x = e x + e − x 2 sinh x = e x − e − x 2 Proof: To show: cosh ( x + y ) = cosh x cosh y + sinh x sinh y Take Right hand side cosh ( x ) ⋅ cosh ( y ) + sinh ( x ) ⋅ sinh ( y ) = [ e x + e − x 2 ] ⋅ [ e y + e − y 2 ] + [ e x − e − x 2 ] [ e y − e − y 2 ] = [ ( e x + y + e x − y

ACHIEVE FOR CALCULUS 4 TERM >CSI CUSTOM<

21st Edition

ISBN: 9781319438333

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 1.6, Problem 45E

To determine

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cosh(x+y)=coshxcoshy+sinhxsinhy

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Chapter 1.6, Problem 44E

Chapter 1.6, Problem 46E

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Chapter 1 Solutions

ACHIEVE FOR CALCULUS 4 TERM >CSI CUSTOM<

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

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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Toprove: cosh ( x + y ) = cosh x cosh y + sinh x sinh y

Solution Summary: The author analyzes the hyperbolic function of mathrmcosx and

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Toprove:

cosh(x+y)=coshxcoshy+sinhxsinhy

Want to see the full answer?

Chapter 1 Solutions

Toprove: cosh ( x + y ) = cosh x cosh y + sinh x sinh y

Solution Summary: The author analyzes the hyperbolic function of mathrmcosx and

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Toprove: cosh(x+y)=coshxcoshy+sinhxsinhy

Want to see the full answer?

Chapter 1 Solutions

Toprove:

cosh(x+y)=coshxcoshy+sinhxsinhy