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ATANH function

Thu Jul 11, 2019 6:57 am

ATANH function



This article describes the formula syntax and usage of the ATANH function in Microsoft Excel.



Description Returns the inverse hyperbolic tangent of a number. Number must be between -1 and 1 (excluding -1 and 1). The inverse hyperbolic tangent is the value whose hyperbolic tangent is number, so ATANH(TANH(number)) equals number.



Syntax ATANH(number) The ATANH function syntax has the following arguments:
  • Number Required. Any real number between 1 and -1. (1 and -1 not included). Numbers outside this range will generate a #NUM! error




The tanh-1 or the inverse hyperbolic tangent is defined as



Image



-1 < x < 1



Example Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.


Formula


Description


Result


=ATANH(0.23456)


Inverse hyperbolic tangent of 0.23456


0.239009539


=ATANH(-0.15875)


-0.160104118