ATanh Function

Computes the inverse hyperbolic tangent


The function \(ATanh\) calculates the inverse hyperbolic tangent of the argument.

\(ATanh\) returns the angle to the hyperbolic tangent of real or complex numbers. The argument can be a single number or a data field. For data fields, the inverse hyperbolic tangent of each element is calculated and the results are returned in a data field of equal size.

ATanh for real numbers


The argument must be a number between -1 and 1. If the value is -1 or 1, the result is ∞ (infinite). For other values outside the range, the result is NaN (not a number).


The result is given in degrees (full circle = 360°) or radians / radians (full circle = 2 · π). The unit of measurement used is set in the toolbar with the DEG or RAD buttons or an optional parameter. The setting in the toolbar applies to the entire worksheet.

Optional Parameter

Optionally, a second parameter can be specified with the keywords DEG or RAD to set the unit of measure for this function call. The specification of the parameter has priority over the global setting in the toolbar. You can use it on a worksheet different functions use different units of measurement independent of the presetting in the toolbar.


ATanh (value)

ATanh (value, RAD)

ATanh (value, DEG)


ATanh for complex numbers

For complex numbers, the result is always given as radians, regardless of the default setting in the toolbar. The result is also a complex number.


ATanh (re + im)


ATanh(3 + 4i)= 0.118+1.41i