docs-v2/content/flux/v0/stdlib/math/atanh.md

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---
title: math.atanh() function
description: >
`math.atanh()` returns the inverse hyperbolic tangent of `x`.
menu:
flux_v0_ref:
name: math.atanh
parent: math
identifier: math/atanh
weight: 101
---
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`math.atanh()` returns the inverse hyperbolic tangent of `x`.
##### Function type signature
```js
(x: float) => float
```
{{% caption %}}
For more information, see [Function type signatures](/flux/v0/function-type-signatures/).
{{% /caption %}}
## Parameters
### x
({{< req >}})
Value to operate on.
`x` should be greater than -1 and less than 1. Otherwise the operation
will return `NaN`.
## Examples
- [Return the hyperbolic tangent of a value](#return-the-hyperbolic-tangent-of-a-value)
- [Use math.atanh in map](#use-mathatanh-in-map)
### Return the hyperbolic tangent of a value
```js
import "math"
math.atanh(x: 0.22)// 0.22365610902183242
```
### Use math.atanh in map
```js
import "math"
data
|> map(fn: (r) => ({r with _value: math.atanh(x: r._value)}))
```
{{< expand-wrapper >}}
{{% expand "View example input and output" %}}
#### Input data
| _time | *tag | _value |
| -------------------- | ---- | --------------------- |
| 2021-01-01T00:00:00Z | t1 | -0.021800000000000003 |
| 2021-01-01T00:00:10Z | t1 | 0.1092 |
| 2021-01-01T00:00:20Z | t1 | 0.0735 |
| 2021-01-01T00:00:30Z | t1 | 0.1753 |
| 2021-01-01T00:00:40Z | t1 | 0.15230000000000002 |
| 2021-01-01T00:00:50Z | t1 | 0.0443 |
| _time | *tag | _value |
| -------------------- | ---- | -------------------- |
| 2021-01-01T00:00:00Z | t2 | 0.1985 |
| 2021-01-01T00:00:10Z | t2 | 0.0497 |
| 2021-01-01T00:00:20Z | t2 | -0.0375 |
| 2021-01-01T00:00:30Z | t2 | 0.1977 |
| 2021-01-01T00:00:40Z | t2 | 0.1386 |
| 2021-01-01T00:00:50Z | t2 | 0.018600000000000002 |
#### Output data
| _time | _value | *tag |
| -------------------- | --------------------- | ---- |
| 2021-01-01T00:00:00Z | -0.021803454395720394 | t1 |
| 2021-01-01T00:00:10Z | 0.10963718917920522 | t1 |
| 2021-01-01T00:00:20Z | 0.07363278579671062 | t1 |
| 2021-01-01T00:00:30Z | 0.17712951464974935 | t1 |
| 2021-01-01T00:00:40Z | 0.1534942122028045 | t1 |
| 2021-01-01T00:00:50Z | 0.04432901360668446 | t1 |
| _time | _value | *tag |
| -------------------- | --------------------- | ---- |
| 2021-01-01T00:00:00Z | 0.2011705409124157 | t2 |
| 2021-01-01T00:00:10Z | 0.049740981912241244 | t2 |
| 2021-01-01T00:00:20Z | -0.037517592971457035 | t2 |
| 2021-01-01T00:00:30Z | 0.20033786359692538 | t2 |
| 2021-01-01T00:00:40Z | 0.13949787194848565 | t2 |
| 2021-01-01T00:00:50Z | 0.01860214539735061 | t2 |
{{% /expand %}}
{{< /expand-wrapper >}}