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+### Syntax +**TANH(number) => tanh** +### Argument descriptions +* *number* ([number](/features/value-types#numbers), required). The hyperbolic angle whose hyperbolic tangent is to be calculated, expressed in radians. +### Additional guidance +The formula for the hyperbolic tangent is: +$$ +\text{tanh(x)} = \dfrac{sinh(x)}{cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}} +$$ +### Returned value +TANH returns a real [number](/features/value-types#numbers) in the range (-1,+1) that is the hyperbolic tangent of the specified hyperbolic angle. +### Error conditions +* In common with many other IronCalc functions, TANH propagates errors that are found in its argument. +* If no argument, or more than one argument, is supplied, then TANH 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 TANH returns the [`#VALUE!`](/features/error-types.md#value) error. +* For some argument values, TANH may return a [`#DIV/0!`](/features/error-types.md#div-0) error. + +## Details +* The TANH function utilizes the *tanh()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/). +* The figure below illustrates the TANH function. +
Graph showing tanh(x).
-# TANH +## Examples +[See some examples in IronCalc](https://app.ironcalc.com/?example=tanh). -::: 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), [COSH](/functions/math_and_trigonometry/cosh) and [TAN](/functions/math_and_trigonometry/tan) functions. +* Visit Microsoft Excel's [TANH function](https://support.microsoft.com/en-us/office/tanh-function-017222f0-a0c3-4f69-9787-b3202295dc6c) page. +* Both [Google Sheets](https://support.google.com/docs/answer/3093755) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/TANH) provide versions of the TANH function. \ No newline at end of file