# ATANH

The ATANH function returns the hyperbolic arctangent of a number. It is useful in scenarios involving mathematical calculations, especially in areas like engineering, physics, and advanced mathematical modeling.

## Syntax

=ATANH(`number`

)

`number` | The input value for which to calculate the hyperbolic arctangent. |

`number` | The numerical value for which to calculate the hyperbolic arctangent. |

## About ATANH

The ATANH function in Excel comes to the rescue when you need to compute the hyperbolic arctangent of a given number. This is incredibly useful when working with mathematical equations and models, often found in fields such as engineering, physics, and advanced mathematical analysis. The function enables you to effortlessly determine the hyperbolic arctangent, a vital component in various complex mathematical calculations and problem-solving endeavors. Whether you're delving into the realms of mathematical analysis or tackling intricate engineering problems, the ATANH function stands as a reliable tool in your Excel toolkit.

## Examples

To calculate the hyperbolic arctangent of 0.5, you would use the following formula: =ATANH(0.5). This will return the result of approximately 0.5493.

If you need to find the hyperbolic arctangent of -0.8, you can employ the ATANH function with the following syntax: =ATANH(-0.8), which will yield an approximate result of -0.9720.

## Questions

**In what scenarios is the ATANH function particularly useful?**

The ATANH function is especially useful in scenarios involving mathematical calculations, particularly in areas such as engineering, physics, and advanced mathematical modeling, where hyperbolic arctangent computations play a significant role.

**What does the ATANH function actually calculate?**

The ATANH function calculates the hyperbolic arctangent of a given numerical input, providing the corresponding result within the acceptable range for hyperbolic arctangent values.

**Can the ATANH function handle negative input values?**

Yes, the ATANH function can handle negative input values, providing the corresponding hyperbolic arctangent result based on the specified negative input.

## Related functions

ATAN

ACOTH

COSH

TANH