# Documentation/Calc Functions/SINH

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## Function name:

SINH

## Category:

Mathematical

## Summary:

Calculates the hyperbolic sine (sinh) of a hyperbolic angle expressed in radians.

## Syntax:

SINH(**Number**)

## Returns:

Returns a real number that is the hyperbolic sine of the specified hyperbolic angle.

## Arguments:

**Number** is a real number, or a reference to a cell containing that number, that is the hyperbolic angle in radians whose hyperbolic sine is to be calculated.

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

## Additional details:

The formula for the hyperbolic sine of x is:

[math]\displaystyle{ \sinh(x)~=~\frac{e^x-e^{-x}}{2} }[/math]

The figure below illustrates the function SINH.

## Examples:

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

=SINH(0) | Hyperbolic sine of 0. | 0 |

=SINH(D1) where cell D1 contains the number -2. | Hyperbolic sine of -2. | -3.62686040784702 |

=ASINH(SINH(3)) | The hyperbolic sine of 3 radians is taken and then the inverse hyperbolic sine of that value is calculated. | 3 |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel function:

SINH