# ATANH

Formulas / ATANH
Calculate the inverse hyperbolic tangent of a number.
`ATANH(number)`
• number - a real number between 1 and -1, not including 1 or -1

## Examples

• `=ATANH(0.76159416)`

This formula returns 1.00000001, which is the inverse hyperbolic tangent of 0.76159416.

• `=ATANH(-0.1)`

The ATANH function also supports negative numbers. For example, this formula returns -0.100335348, which is the inverse hyperbolic tangent of -0.1.

## Summary

The ATANH function calculates the inverse hyperbolic tangent of a real number between -1 and 1, excluding -1 and 1. It requires a number argument to return the result.

• The ATANH function takes a required real number argument between -1 and 1, but the argument must not be -1 or 1.
• The ATANH function returns the inverse hyperbolic tangent of the number argument.
• Note that ATANH(TANH(number)) equals number.

What is the ATANH function?
The ATANH function calculates the inverse hyperbolic tangent of a number.
What is the argument for the ATANH function?
The ATANH function takes a real number as its argument.
What is the range of the real number for the ATANH function?
The real number for the ATANH function must be between 1 and -1.
Can the real number be 1 or -1?
No, the real number cannot be 1 or -1.
What is the inverse of hyperbolic tangent TANH?
The inverse of hyperbolic tangent TANH is ATANH.
What does ATANH(TANH(number)) equal?
ATANH(TANH(number)) equals number because ATANH is the inverse of TANH.