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Template:Asin/doc
From OeisWiki
The {{asin}} circular function template returns the arc sine (a circular angle in radians) of , where is a real number in closed interval [-1, +1].
Note that you may also use the asin operator (used within the {{#expr: }} parser function extension, e.g. {{#expr: asin 0.5 }}) which also returns a circular angle in radians.
Contents
Usage
- {{asin|a real number in closed interval [-1, +1]}}
Valid input
- A real number in closed interval [-1, +1].
Examples
Examples with valid input
Code Result {{asin|- (2^(1/2) / 2)}} -0.78539816339745 {{asin|-0.5}} -0.5235987755983 {{asin|0}} 0 {{asin|0.5}} 0.5235987755983 {{asin|2^(1/2) / 2}} 0.78539816339745
Examples with invalid input (returns an error message)
Code Result {{asin|i}} Expression error: Unrecognized word "i". {{asin|- (2^(1/2))}} Invalid argument for asin: < -1 or > 1. {{asin|+ 2^(1/2)}} Invalid argument for asin: < -1 or > 1.
Code
Currently (using built-in error message)
{{#expr: asin ({{{1}}}) }}
instead of (using custom error message)
{{ifnum| {{{1|NAN}}} | {{#ifexpr: abs ({{{1}}}) <= 1 | {{#expr: asin ({{{1}}}) }} | {{error| Asin error: Argument must be a real number in closed interval [-1, +1] }} }} | {{error| Asin error: Argument must be a real number in closed interval [-1, +1] }} }}
See also