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Hyperbolic functions calculator

Calculation of hyperbolic functions

This page exists due to the efforts of the following people:

Timur

Timur

KL

Karen Luckhurst

Created: 2011-06-17 22:08:52, Last updated: 2020-12-18 12:20:08
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This content is licensed under Creative Commons Attribution/Share-Alike License 3.0 (Unported). That means you may freely redistribute or modify this content under the same license conditions and must attribute the original author by placing a hyperlink from your site to this work https://planetcalc.com/1116/. Also, please do not modify any references to the original work (if any) contained in this content.

This online calculator shows the values of hyperbolic functions of a given argument. The definitions of functions are below

PLANETCALC, Hyperbolic Functions

Hyperbolic Functions

Digits after the decimal point: 2
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Hyperbolic sine
\operatorname{sh}x=\frac{e^x-e^{-x}}{2}

Hyperbolic cosine
\operatorname{ch}x=\frac{e^x+e^{-x}}{2}

Hyperbolic tangent
\operatorname{th}x=\frac{\operatorname{sh}x}{\operatorname{ch}x} = \frac {e^x - e^{-x}} {e^x + e^{-x}} = \frac{e^{2x} - 1} {e^{2x} + 1}

Hyperbolic cotangent
\operatorname{cth}x=\frac{1}{\operatorname{th}x}

Hyperbolic secant
\operatorname{sech}x=\frac{1}{\operatorname{ch}x}

Hyperbolic cosecant
\operatorname{csch}x=\frac{1}{\operatorname{sh}x}

Functions sh, ch, th, sech are continuous functions. Functions cth, csch are not defined for x=0.

A hyperbolic sine is an increasing function passing through zero – \operatorname{sh}0=0.
A hyperbolic cosine is an even function where \operatorname{ch}0=1 is the minimum.

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Timur2020-12-18 12:20:08

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