# Documentation/Calc Functions/ASINH

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## Function name:

ASINH

## Category:

Mathematical

## Summary:

Calculates the inverse hyperbolic sine (arsinh) of a real number, in radians.

## Syntax:

ASINH(**Number**)

## Returns:

Returns a real number that is the inverse hyperbolic sine of **Number** in radians.

## Arguments:

**Number** is a real number, or a reference to a cell containing that number, whose inverse hyperbolic sine is to be calculated.

- If
**Number**is non-numeric, then ASINH reports a #VALUE! error.

## Additional details:

The formula for the inverse hyperbolic sine of x is:

[math]\displaystyle{ \operatorname{arsinh}(x) = \ln\left (x+\sqrt{(x^2+1)}\right ) }[/math]

The figure below illustrates the function ASINH.

## Examples:

Formula | Description | Returns |
---|---|---|

=ASINH(-90) | Inverse hyperbolic sine of -90. | -5.19298771365894 |

=ASINH(SINH(4)) | Inverse hyperbolic sine of hyperbolic sine of 4. | 4 |

=ASINH(D1) where cell D1 contains the number 0.5. | Inverse hyperbolic sine of 0.5. | 0.481211825059603 |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

ASINH