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Tag: hyperbolic functions

MitPY 12: Inverse Hyperbolic Functions

by marty

March 9, 2021

3:31 pm

14 Comments on MitPY 12: Inverse Hyperbolic Functions

MitPY

complex numbers, hyperbolic functions, inverse functions

This MitPY comes from occasional commenter, Craig:

Hello folks, just a quick (probably stupid) question. Is the following step justified?

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

\boldsymbol{\mbox{\bf arccosh}\, x = \ln\left(x+\sqrt{x^2 -1}\right)}

Thanks.

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