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the range [-1 to 1], returning an angle in the range [0 to $\pi$], expressed in radians. +## Usage +### Syntax +**ACOS(number) => acos** +### Argument descriptions +* *number* ([number](/features/value-types#numbers), required). The number whose arccosine is to be calculated, in the range [-1 to 1]. +### Additional guidance +None. +### Returned value +ACOS returns a number in radians in the range [0 to $\pi$] that is the angle whose cosine is the specified number. +### Error conditions +* In common with many other IronCalc functions, ACOS propagates errors that are found in its argument. +* If no argument, or more than one argument, is supplied, then ACOS 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 ACOS returns the [`#VALUE!`](/features/error-types.md#value) error. +* If the value of the *number* argument lies outside the range [-1 to 1], then ACOS returns the [`#NUM!`](/features/error-types.md#num) error. +* For some argument values, ACOS may return a [`#DIV/0!`](/features/error-types.md#div-0) error. + +## Details +* The ACOS function utilizes the *acos()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/). +* The figure below illustrates the output of the ACOS function for angles $x$ in the range -1 to +1. +
Graph showing acos(x) for x between -1 and +1.
-::: 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 +## Examples +[See some examples in IronCalc](https://app.ironcalc.com/?example=acos). + +## 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 [ACOS function](https://support.microsoft.com/en-us/office/acos-function-cb73173f-d089-4582-afa1-76e5524b5d5b) page. +* Both [Google Sheets](https://support.google.com/docs/answer/3093461) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/ACOS) provide versions of the ACOS function.