# Function asinh Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`. For matrices, the function is evaluated element wise. ## Syntax ```js math.asinh(x) ``` ### Parameters Parameter | Type | Description --------- | ---- | ----------- `x` | number | Complex | Array | Matrix | Function input ### Returns Type | Description ---- | ----------- number | Complex | Array | Matrix | Hyperbolic arcsine of x ### Throws Type | Description ---- | ----------- ## Examples ```js math.asinh(0.5) // returns 0.48121182505960347 ``` ## See also [acosh](acosh.md), [atanh](atanh.md)