## Excel ATANH Function

The ATANH function calculates the inverse hyperbolic tangent of a number. =ATANH(number)

#### Arguments

• number (required): The value for which you want to calculate the inverse hyperbolic tangent. Note: The number must be between -1 and 1.

#### Return Value

The ATANH function returns a numeric value.

#### Function Notes

• The inverse hyperbolic tangent is the value whose hyperbolic tangent is number, so the result of =ATANH(TANH(number)) is number itself.
• ATANH returns the #NUM! error if number ≤ -1 or number ≥ 1.
• ATANH returns the #VALUE! error if number is not numeric.

#### Example

To calculate the inverse hyperbolic tangent of the numbers listed in the table as shown below, please copy or enter the below formula in the top cell (D6) of the result list, and press Enter to get the result. Then select the result cell, and drag the fill handle (the small square in the lower-right corner of the selected cell) down to apply the formula to the below cells.

=ATANH(B6) Instead of a cell reference, you can type the actual number value in the formula as shown below.

=ATANH(0.3338)

#### Related functions

Excel ATAN Function

The ATAN function calculates the arctangent (inverse tangent) of a number, and returns an angle, in radians, in the range from -π/2 to π/2.

Excel ATAN2 Function

The ATAN2 function calculates the arctangent (inverse tangent) of the specified x- and y-coordinates, and returns an angle, in radians, in the range from -π/2 to π/2.

Excel ACOSH Function

The ACOSH function returns inverse hyperbolic cosine of a number.

Excel ACOTH Function

The ACOTH function returns the inverse hyperbolic cotangent of a number.

Excel ASINH Function

The ASINH function returns the inverse hyperbolic sine of a number.

Excel COSH Function

The COSH function returns the hyperbolic cosine of a number.

Excel COTH Function

The COTH function returns the hyperbolic cotangent of a hyperbolic angle.

Excel CSCH Function

The CSCH function returns the hyperbolic cosecant of an angle specified in radians.

Excel SECH Function

The SECH function calculates the hyperbolic secant of an angle in radians.

Excel SINH Function

The SINH function calculates the hyperbolic sine of a number.

Excel TANH Function

The TANH function calculates the hyperbolic tangent of a number.

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