Prove that the inverse hyperbolic functions are the following logarithms: a. (cosh ^{-1} x=ln left(x+sqrt{x^{2}-1} ight)). b.

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Prove that the inverse hyperbolic functions are the following logarithms:

a. $\cosh ^{-1} x=\ln \left(x+\sqrt{x^{2}-1}\right)$.

b. $\tanh ^{-1} x=\frac{1}{2} \ln \frac{1+x}{1-x}$.

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A Course In Mathematical Methods For Physicists

ISBN: 9781138442085

1st Edition

Authors: Russell L Herman

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Question Posted: May 24, 2024 02:01 AM

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Prove that the inverse hyperbolic functions are the following logarithms: a. (cosh ^{-1} x=ln left(x+sqrt{x^{2}-1} ight)). b.

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A Course In Mathematical Methods For Physicists

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