Problem

(a) Use the graphs of $ \sinh, \cosh, $ and $ \ta…

03:24

Problem 21 Easy Difficulty

If $ \cosh x = \frac {5}{3} $ and $ x > 0, $ find the values of the other hyperbolic functions at $ x. $

Answer

$\operatorname{coth} x=\frac{1}{4 / 5}=\frac{5}{4}$

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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Watch More Solved Questions in Chapter 3

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Video Transcript

Okay. We know that sign H of X is the square root of five over three squared minus one, which is a squirt of 16 over nine, which is 4/3. Therefore, we know that tan H of X is 4/3 over 5/3 which is 4/5. Therefore, coast seeking h of X is won over sign H of X, which is gonna be 3/4. Therefore, we know that seeking H of X is won over co sign Age of X. So one over 5/3 which is 3/5 And then we know that Coach Tangent H of X is one over Taneja back. So when over 4/5 is 5/4 other words the opposite of us.

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

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

Joseph L.

Boston College