diff --git a/docs/src/functions/images/hyperbolicsine-curve.png b/docs/src/functions/images/hyperbolicsine-curve.png new file mode 100644 index 0000000..564c338 Binary files /dev/null and b/docs/src/functions/images/hyperbolicsine-curve.png differ diff --git a/docs/src/functions/math_and_trigonometry/sinh.md b/docs/src/functions/math_and_trigonometry/sinh.md index 29a6a2d..6f5ef3b 100644 --- a/docs/src/functions/math_and_trigonometry/sinh.md +++ b/docs/src/functions/math_and_trigonometry/sinh.md @@ -3,9 +3,36 @@ layout: doc outline: deep lang: en-US --- +# SINH function +## Overview +SINH is a function of the Math and Trigonometry category that calculates the hyperbolic sine of a number. +## Usage +### Syntax +**SINH(number) => sinh** +### Argument descriptions +* *number* ([number](/features/value-types#numbers), required). The hyperbolic angle whose hyperbolic sine is to be calculated, expressed in radians. +### Additional guidance +The formula for the hyperbolic sine is: +$$ +\text{sinh(x)} = \dfrac{e^x-e^{-x}}{2} +$$ +### Returned value +SINH returns a real [number](/features/value-types#numbers) that is the hyperbolic sine of the specified hyperbolic angle. +### Error conditions +* In common with many other IronCalc functions, SINH propagates errors that are found in its argument. +* If no argument, or more than one argument, is supplied, then SINH 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 SINH returns the [`#VALUE!`](/features/error-types.md#value) error. +* For some argument values, SINH may return a [`#DIV/0!`](/features/error-types.md#div-0) error. + +## Details +* The SINH function utilizes the *sinh()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/). +* The figure below illustrates the SINH function. +
Graph showing sinh(x).
+## Examples +[See some examples in IronCalc](https://app.ironcalc.com/?example=sinh). -# SINH - -::: 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 [SIN](/functions/math_and_trigonometry/sin), [COS](/functions/math_and_trigonometry/cos) and [TAN](/functions/math_and_trigonometry/tan) functions. +* Visit Microsoft Excel's [SINH function](https://support.microsoft.com/en-us/office/sinh-function-4958f7e2-0d2b-4846-8ef5-8475f3aea5fb) page. +* Both [Google Sheets](https://support.google.com/docs/answer/3093517) and [LibreOffice Calc](https://wiki.documentfoundation.org/Documentation/Calc_Functions/SINH) provide versions of the SINH function. \ No newline at end of file