Excel ATANH Function calculates the hyperbolic arctangent of a number. This function is primarily used in trigonometry and calculus, and it returns the inverse hyperbolic tangent of a given number.

## Syntax

**ATANH(number)**

## Arguments

number | The real number for which you want to calculate the inverse hyperbolic tangent. |

## How to use

You can use the ATANH function in Excel to find the hyperbolic arctangent of a given number. Here’s how you can use it:

**=ATANH(number)**

Where **number** is the real number for which you want to calculate the hyperbolic arctangent.

## Examples

Let’s explore a few examples to see how the ATANH function works:

**Example 1:** Calculate the hyperbolic arctangent of 0.5.

1 |
=ATANH(0.5) |

The result will be approximately 0.5493.

**Example 2:** Calculate the hyperbolic arctangent of -0.8.

1 |
=ATANH(-0.8) |

The result will be approximately -1.0986.

Since the argument is optional, you can leave it empty, but it’s typically used to specify the number for which you want to calculate the hyperbolic arctangent.

## Additional Information

The ATANH function is a mathematical function used in Excel for advanced calculations. It is the inverse of the hyperbolic tangent function. The result is a real number that represents the angle whose hyperbolic tangent is the specified number. The range of the result is between -∞ and +∞.

If you are not familiar with hyperbolic trigonometric functions, you may want to explore trigonometry and calculus concepts to understand how to use the ATANH function effectively.