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. +
