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Template:Arcosh/doc
From OeisWiki
The {{arcosh}} (inverse) hyperbolic function template returns the inverse hyperbolic cosine of , where is a real number.
Contents
Usage
- {{arcosh|a real number greater than or equal to 1}}
Valid input
- A real number greater than or equal to 1 as argument.
Examples
Examples with valid input
Code Result {{arcosh|1}} 0 {{arcosh|2}} 1.3169578969248 {{arcosh|5}} 2.2924316695612 {{arcosh|{{cosh|-1}}}} 0.99999999999996 {{arcosh|{{cosh|-0.5}}}} 0.50000000000004 {{arcosh|{{cosh|0}}}} 0 {{arcosh|{{cosh|0.5}}}} 0.50000000000004 {{arcosh|{{cosh|1}}}} 0.99999999999996
Examples with invalid input (returns an error message)
Code Result {{arcosh|i}} Arcosh error: Argument must be a real number greater than or equal to 1 {{arcosh|-1}} Arcosh error: Argument must be a real number greater than or equal to 1 {{arcosh|-0.5}} Arcosh error: Argument must be a real number greater than or equal to 1 {{arcosh|0}} Arcosh error: Argument must be a real number greater than or equal to 1 {{arcosh|0.5}} Arcosh error: Argument must be a real number greater than or equal to 1
Code
{{ifnum| {{{1|not a number}}} | {{#ifexpr: ({{{1}}}) >= 1 | {{#expr: ln ( ({{{1}}}) + ( ({{{1}}})^2 - 1 )^(1/2) ) }} | {{error| Arcosh error: Argument must be a real number greater than or equal to 1}} }} | {{error| Arcosh error: Argument must be a real number greater than or equal to 1}} }}
See also