IMCOT Function

Basic Description

The Excel Imcot function returns the cotangent of a supplied complex number. Note: the Imcot function was only introduced in Excel 2013 and so is not available in earlier versions of Excel.

Syntax: IMCOT( 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.

 

Imcot Function Examples

The spreadsheet below shows 4 different examples of the Imcot function. Each example uses a different method to supply the complex number to the function.

 Formulas:
A B
1 =IMCOT( 0.5 )
2 =IMCOT( “3+0.5i” )
3 2 – i =IMCOT( A3 )
4 =IMCOT( COMPLEX( 1, -1 ) )
 Results:
A B
1 1.83048772171245
2 -0.479345578747373-2.01609252150623i
3 2 – i -0.171383612909185+0.821329797493852i
4 0.217621561854403+0.868014142895925i

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.

 

Imcot Function Errors

If you get an error from the Excel Imcot 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.

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