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zE*Cd9q2Au!0KX | – | | AGGREGATE | | – | | ARABIC | | – | -| ASIN | | – | +| ASIN | | [ASIN](math_and_trigonometry/asin) | | ASINH | | – | | ATAN | | – | | ATAN2 | | – | diff --git a/docs/src/functions/math_and_trigonometry/asin.md b/docs/src/functions/math_and_trigonometry/asin.md index bae85a1..8223340 100644 --- a/docs/src/functions/math_and_trigonometry/asin.md +++ b/docs/src/functions/math_and_trigonometry/asin.md @@ -4,8 +4,37 @@ outline: deep lang: en-US --- -# ASIN +# ASIN function -::: warning -🚧 This function is implemented but currently lacks detailed documentation. For guidance, you may refer to the equivalent functionality in [Microsoft Excel documentation](https://support.microsoft.com/en-us/office/excel-functions-by-category-5f91f4e9-7b42-46d2-9bd1-63f26a86c0eb). -::: \ No newline at end of file +## Overview +ASIN is a function of the Math and Trigonometry category that calculates the inverse sine (arcsine) of a number in the range [-1 to +1], returning an angle in the range [-$\pi$/2 to +$\pi$/2], expressed in radians. +## Usage +### Syntax +**ASIN(number) => asin** +### Argument descriptions +* *number* ([number](/features/value-types#numbers), required). The number whose arcsine is to be calculated, in the range [-1 to +1]. + +### Additional guidance +None. +### Returned value +ASIN returns a number in radians in the range [-$\pi$/2 to +$\pi$/2] that is the angle whose sine is the specified number. +### Error conditions +* In common with many other IronCalc functions, ASIN propagates errors that are found in its argument. +* If no argument, or more than one argument, is supplied, then ASIN returns the [`#ERROR!`](/features/error-types.md#error) error. +* If the value of the *number* argument is not (or cannot be converted to) a [number](/features/value-types#numbers), then ASIN returns the [`#VALUE!`](/features/error-types.md#value) error. +* If the value of the *number* argument lies outside the range [-1 to +1], then ASIN returns the [`#NUM!`](/features/error-types.md#num) error. +* For some argument values, ASIN may return a [`#DIV/0!`](/features/error-types.md#div-0) error. + +## Details +* The ASIN function utilizes the *asin()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/). +* The figure below illustrates the output of the ASIN function for angles $x$ in the range -1 to +1 radians. +
Graph showing sin(x) for x between -2π and +2π.
+ +## Examples +[See some examples in IronCalc](https://app.ironcalc.com/?example=asin). + +## Links +* For more information about inverse trigonometric functions, visit Wikipedia's [Inverse trigonometric functions](https://en.wikipedia.org/wiki/Inverse_trigonometric_functions) page. +* See also IronCalc's [SIN](/functions/math_and_trigonometry/sin), [COS](/functions/math_and_trigonometry/cos) and [TAN](/functions/math_and_trigonometry/tan) functions. +* Visit Microsoft Excel's [ASIN function](https://support.microsoft.com/en-us/office/asin-function-81fb95e5-6d6f-48c4-bc45-58f955c6d347) page. +* Both [Google Sheets](https://support.google.com/docs/answer/3093464) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ASIN) provide versions of the ASIN function.