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b/docs/src/functions/math_and_trigonometry/cosh.md @@ -3,9 +3,37 @@ layout: doc outline: deep lang: en-US --- +# COSH function +## Overview +COSH is a function of the Math and Trigonometry category that calculates the hyperbolic cosine of a number. +## Usage +### Syntax +**COSH(number) => cosh** +### Argument descriptions +* *number* ([number](/features/value-types#numbers), required). The hyperbolic angle whose hyperbolic cosine is to be calculated, expressed in radians. +### Additional guidance +The formula for the hyperbolic cosine is: +$$ +\text{cosh(x)} = \dfrac{e^x+e^{-x}}{2} +$$ +### Returned value +COSH returns a real [number](/features/value-types#numbers) that is the hyperbolic cosine of the specified hyperbolic angle. +### Error conditions +* In common with many other IronCalc functions, COSH propagates errors that are found in its argument. +* If no argument, or more than one argument, is supplied, then COSH 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 COSH returns the [`#VALUE!`](/features/error-types.md#value) error. +* For some argument values, COSH may return a [`#DIV/0!`](/features/error-types.md#div-0) error. + +## Details +* The COSH function utilizes the *cosh()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/). +* The figure below illustrates the COSH function. +
Graph showing cosh(x).
-# COSH +## Examples +[See some examples in IronCalc](https://app.ironcalc.com/?example=cosh). -::: 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 +## Links +* For more information about hyperbolic functions, visit Wikipedia's [Hyperbolic functions](https://en.wikipedia.org/wiki/Hyperbolic_functions) page. +* See also IronCalc's [SINH](/functions/math_and_trigonometry/sinh), [COS](/functions/math_and_trigonometry/cos) and [TAN](/functions/math_and_trigonometry/tan) functions. +* Visit Microsoft Excel's [COSH function](https://support.microsoft.com/en-us/office/cosh-function-e460d426-c471-43e8-9540-a57ff3b70555) page. +* Both [Google Sheets](https://support.google.com/docs/answer/3093477) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/COSH) provide versions of the COSH function. \ No newline at end of file