Problem

Prove the identity. $ \coth^2 x - 1 = csch^2 x $

03:39

Problem 12 Easy Difficulty

Prove the identity.
$ \cosh (x + y) = \cosh x \cosh y + \sinh x \sinh y $

Answer

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Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Discussion

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AO

Alex O.

June 21, 2020

please dont let amrita make any more videos

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Missouri State University

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Watch More Solved Questions in Chapter 3

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

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Video Transcript

using the identity e of data minus the of negative data over to this sign h of data. We know we have either the X plus y plus e to the negative X plus y recall where the night it is on the outside of the E divided by two. Now we know this is equivalent to eat the axe, even negative acts over two times either. Why cost you the negative? Why over too plus even the X minus, even the negative X over too times either. Why Honesty to the negative? Why over too And this simplifies to co sign. H acts Corson Age. Why? Because sign age acts Sign age. Why?

Amrita B.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

Joseph L.

Boston College