Difference between revisions of "Arccosh"

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[[File:Arccosh.png|500px]]
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The inverse hyperbolic cosine function $\mathrm{arccosh}$ is the [[inverse function]] of the [[hyperbolic cosine]] function. It may be defined by
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$$\mathrm{arccosh}(z)=\log \left(z + \sqrt{1+z^2} \right),$$
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where $\log$ denotes the [[logarithm]].
  
[[File:Complex ArcCosh.jpg|500px]]
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<div align="center">
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<gallery>
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File:Arccoshplot.png|Graph of $\mathrm{arccos}$ on $[1,10]$.
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File:Complexarccoshplot.png|[[Domain coloring]] of $\mathrm{arccosh}$.
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</gallery>
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</div>
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=Properties=
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[[Derivative of arccosh]] <br />
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[[Antiderivative of arccosh]]<br />
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=See Also=
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[[Arccos]] <br />
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[[Cosh]] <br />
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[[Cosine]] <br />
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{{:Inverse hyperbolic trigonometric functions footer}}
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[[Category:SpecialFunction]]

Latest revision as of 23:42, 11 December 2016

The inverse hyperbolic cosine function $\mathrm{arccosh}$ is the inverse function of the hyperbolic cosine function. It may be defined by $$\mathrm{arccosh}(z)=\log \left(z + \sqrt{1+z^2} \right),$$ where $\log$ denotes the logarithm.

Properties

Derivative of arccosh
Antiderivative of arccosh

See Also

Arccos
Cosh
Cosine

Inverse hyperbolic trigonometric functions