Template:Coth

The following documentation is located at Template:Coth/doc. [<Edit> Template:Coth/doc]
[⧼Purge⧽ Template:Coth]

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

Usage

{{coth|a nonzero real number}}

Valid input

A nonzero real number as argument.

Examples

Examples with valid input

Code	Result
{{coth|-1}}	-1.3130352854993
{{coth|-0.5}}	-2.1639534137387
{{coth|0.5}}	2.1639534137387
{{coth|1}}	1.3130352854993

Examples with invalid input (returns an error message)

Code	Result
{{coth|0}}
{{coth|i}}

Code

{{ifnum| {{{1|NAN}}}
| {{#ifexpr: ({{{1}}}) = 0
  | {{error| Coth error: Argument must be a nonzero real number }}
  | {{#expr: 1 / {{tanh| {{{1}}} }} }}
  }}
| {{error| Coth error: Argument must be a nonzero real number }}
}}

See also

• Hyperbolic functions
• Inverse hyperbolic functions

• {{sinh}}
• {{cosh}}
• {{tanh}}

• {{csch}}
• {{sech}}
• {{coth}}

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

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