Template:Asin

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

The {{asin}} circular function template returns the arc sine (a circular angle in $\scriptstyle [\frac{-\pi}{2},\, \frac{+\pi}{2}] \,$ radians) of $\scriptstyle x \,$ , where $\scriptstyle x \,$ 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 $\scriptstyle [\frac{-\pi}{2},\, \frac{+\pi}{2}] \,$ radians.

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: Unrecognised 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] }}
}}

Template:Asin

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Contents

Usage

Valid input

Examples

Code

See also

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