The Excel Imsech function returns the hyperbolic secant of a supplied complex number.
Note: the Imsech function was only introduced in Excel 2013 and so is not available in earlier versions of Excel.
Syntax: IMSECH( inumber )
where the inumber argument is a complex number.
Note that complex numbers are simply stored as text in Excel. When a text string in the format “a+bi” or “a+bj” is supplied to one of Excel’s built-in complex number functions, this is interpreted as a complex number. Also the complex number functions can accept a simple numeric value, as this is equivalent to a complex number whose imaginary coefficient is equal to 0.
Imsech Function Examples
The spreadsheet below shows 4 different examples of the Imsech function. Each example uses a different method to supply the complex number to the function.
Note that, in cell B1 of the above spreadsheet, the supplied inumber argument is the real number 0.5, which is equal to the complex number 0.5+0i.
Imsech Function Errors
If you get an error from the Excel Imsech Function, this is likely to be one of the following:
|#VALUE!||–||Occurs if the supplied inumber argument is a logical value.|
|#NUM!||–||Occurs if the supplied inumber argument is not recognised as a complex number.|