File:Sinh+cosh+tanh.svg

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Summary

DescriptionSinh+cosh+tanh.svg	English: Plot of the three basic Hyperbolic functions: hyperbolic sine (sinh), hyperbolic cosine (cosh) and hyperbolic tangent (tanh). Sinh is red, cosh is blue and tanh is green. $\sinh(x)={\frac {e^{x}-e^{-x}}{2}}$ $\cosh(x)={\frac {e^{x}+e^{-x}}{2}}$ $\tanh(x)={\frac {e^{x}-e^{-x}}{e^{x}+e^{-x}}}$
Date	2010
Source	Own work
Author	Geek3
SVG development InfoField	The SVG code is valid. This trigonometry was created with GeoGebra.

Mathematical Function Plot
Description	Plot of the basic hyperbolic functions
Equation 1	$\sinh(x)={\frac {e^{x}-e^{-x}}{2}}$
Equation 2	$\cosh(x)={\frac {e^{x}+e^{-x}}{2}}$
Equation 3	$\tanh(x)={\frac {e^{x}-e^{-x}}{e^{x}+e^{-x}}}$
Coordinate System	Cartesian
X Range	-3.3 .. 3.3
Y Range	-4.5 .. 4.5
Accuaracy	0.000001 units

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	14:56, 20 March 2010		400 × 500 (17 KB)	Geek3	small corrections
	14:23, 20 March 2010		400 × 500 (17 KB)	Geek3	author:~~~

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Usage on da.wikipedia.org
- Hyperbolske funktioner
Usage on de.wikipedia.org
- Hyperbelfunktion
Usage on de.wikibooks.org
- Mathe für Nicht-Freaks: Sinus Hyperbolicus und Kosinus Hyperbolicus
Usage on ko.wikipedia.org
- 시공간
Usage on la.wikipedia.org
- Functiones hyperbolicae
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- Hyperbolsk funksjon
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- ਸਪੇਸਟਾਈਮ
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- Пространство-время

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Short title

Sinh+cosh+tanh.svg - a nice plot of the basic hyperbolic functions

Image title

    hyperbolic sine, hyperbolic cosine, hyperbolic tangent
    sinh(x) = (e^x - e^-x) / 2
    cosh(x) = (e^x + e^-x) / 2
    tanh(x) = (e^x - e^-x) / (e^x + e^-x)
    
    from Wikimedia Commons
    plotted with cubic bezier-curves
    Accuracy is 0.000001 units
    
    symbols in "Computer Modern" (TeX) font embedded
    created with a plain text editor using GNU/Linux

    about: http://commons.wikimedia.org/wiki/Image:Sinh+cosh+tanh.svg
    source: http://commons.wikimedia.org/
    rights: GNU Free Documentation license,
            Creative Commons Attribution ShareAlike license

File:Sinh+cosh+tanh.svg

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GNU Free Documentation License, version 1.2 or later

Creative Commons Attribution 3.0 Unported

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2010

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