IMTAN Function

Basic Description

The Excel Imtan function returns the tangent of a supplied complex number.

Note: the Imtan function was only introduced in Excel 2013 and so is not available in earlier versions of Excel.

Syntax: IMTAN( 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.


Imtan Function Examples

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

1 =IMTAN( 0.5 )
2 =IMTAN( “3+0.5i” )
3 2 – i =IMTAN( A3 )
4 =IMTAN( COMPLEX( 1, -1 ) )
1 0.54630248984379
2 -0.111621050771583+0.469469993425885i
3 2 – i -0.243458201185725-1.16673625724092i
4 0.271752585319512-1.08392332733869i

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.


Imtan Function Errors

If you get an error from the Excel Imtan 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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