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


Returns the hyperbolic secant of an angle.



The SECH function syntax has the following arguments.

Number    Required. Number is the angle in radians for which you want the hyperbolic secant.


  • The absolute value of number must be less than 2^27.

  • If the angle is in degrees, either multiply the angle by PI()/180 or use the RADIANS function to covert the angle to radians.

  • If number is outside of its constraints, SECH returns the #NUM! error value.

  • If number is a non-numeric value, SECH returns the #VALUE! error values.


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.





The hyperbolic secant of a 45 degree angle.



The hyperbolic secant of a 30 degree angle.


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