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The ATANH function returns the hyperbolic arctangent of a number.

This function can be useful in mathematical and engineering calculations where hyperbolic functions are required.

 

Syntax

ATANH(value)

Argument

Description

Permitted values

value

Number for which the hyperbolic arctangent is calculated

Any real number in the range from −1 to 1 (excluding the limits) or a reference to a cell with a number

 

Examples of use

Calculation of hyperbolic arctangent for 0:

=ATANH(0)

Result: 0.

Calculation for 0.5:

=ATANH(0.5)

Result: approximately 0.5493.

Attempt to calculate for a value out of range (−1, 1):

=ATANH(2)

returns the #NUM! error since the value is out of the allowed range.

 

Notes

The return value is in radians.

To convert the result to degrees, use the DEGREES function: =DEGREES(ATANH(value))

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