Template:Tanh/doc

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The {{tanh}} hyperbolic function template returns the hyperbolic tangent of $\scriptstyle x\,$, where $\scriptstyle x\,$ is a real number.

Usage

{{tanh|a real number}}

Valid input

A real number as argument.

Examples

Examples with valid input

Code	Result
{{tanh|-1}}	-0.76159415595576
{{tanh|-0.5}}	-0.46211715726001
{{tanh|0}}	0
{{tanh|0.5}}	0.46211715726001
{{tanh|1}}	0.76159415595576

Examples with invalid input (returns an error message)

Code	Result
{{tanh|i}}

Code

{{ifnum| {{{1|NAN}}}
| {{#expr: ( exp (2*({{{1}}})) - 1 ) / ( exp (2*({{{1}}})) + 1 ) }}
| {{error| Tanh error: Argument must be a real number }}
}}

See also

• Hyperbolic functions
• Inverse hyperbolic functions

• {{sinh}}
• {{cosh}}
• {{tanh}}

• {{csch}}
• {{sech}}
• {{coth}}

• {{arsinh}} (see also {{qlog}})
• {{arcosh}}
• {{artanh}}

• {{arcsch}}
• {{arsech}}
• {{arcoth}}