mathjs/docs/reference/functions/asinh.md

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser and offers an integrated solution to work with numbers, big numbers, complex numbers, units, and matrices.

# 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 | Boolean | Complex | Unit | Array | Matrix | null | Function input

### Returns

Type | Description
---- | -----------
Number | Complex | Array | Matrix | Hyperbolic arcsine of x


## Examples

```js
math.asinh(0.5);       // returns 0.48121182505960347
```


## See also

[acosh](acosh.md),
[atanh](atanh.md)


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