diff --git a/docs/src/functions/images/hyperbolicarcsine-curve.png b/docs/src/functions/images/hyperbolicarcsine-curve.png new file mode 100644 index 0000000..8319565 Binary files /dev/null and b/docs/src/functions/images/hyperbolicarcsine-curve.png differ diff --git a/docs/src/functions/math_and_trigonometry/asinh.md b/docs/src/functions/math_and_trigonometry/asinh.md index c222e0d..f24deca 100644 --- a/docs/src/functions/math_and_trigonometry/asinh.md +++ b/docs/src/functions/math_and_trigonometry/asinh.md @@ -4,8 +4,37 @@ outline: deep lang: en-US --- -# ASINH +# ASINH function +## Overview +ASINH is a function of the Math and Trigonometry category that calculates the inverse hyperbolic sine (hyperbolic arcsine) of a number, returning the hyperbolic angle expressed in radians. +## Usage +### Syntax +**ASINH(number) => asinh** +### Argument descriptions +* *number* ([number](/features/value-types#numbers), required). The value whose inverse hyperbolic sine is to be calculated. +### Additional guidance +The hyperbolic arcsine function is defined as: +$$ +\operatorname{asinh}(x) = \ln\!\left(x + \sqrt{x^2 + 1}\,\right) +$$ +### Returned value +ASINH returns a real [number](/features/value-types#numbers) that is the hyperbolic arcsine of the specified value, expressed in radians. +### Error conditions +* In common with many other IronCalc functions, ASINH propagates errors that are found in its argument. +* If no argument, or more than one argument, is supplied, then ASINH 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 ASINH returns the [`#VALUE!`](/features/error-types.md#value) error. +* For some argument values, ASINH may return a [`#DIV/0!`](/features/error-types.md#div-0) error. + +## Details +* The ASINH function utilizes the *asinh()* method provided by the [Rust Standard Library](https://doc.rust-lang.org/std/). +* The figure below illustrates the output of the ASINH function. +
