## Purpose

## Return value

## Syntax

`=ASINH(number)`

*number*- The number to get the inverse hyperbolic sine of.

## How to use

The Excel ASINH function returns the inverse hyperbolic sine of a number. Given one as input, the function returns 0.881373587 as output.

`=ASINH(1) // returns 0.881373587`

### Explanation

The inverse hyperbolic sine returns the hyperbolic angle of the point on the unit hyperbola with a *y*-coordinate equal to the input. For example, given one as input representing the point on the unit hyperbola with a *y*-coordinate of one, the inverse hyperbolic sine returns the hyperbolic angle of 0.881373587.

`=ASINH(1) // returns 0.881373587`

Given an input of -2 corresponding to the point on the unit hyperbola with a *y*-coordinate of negative one, the inverse hyperbolic sine returns the hyperbolic angle of -1.443635475.

`=ASINH(-2) // returns -1.443635475`

The output of the inverse hyperbolic sine function is visualized in this plot:

*Images courtesy of wumbo.net.*