How to use IMTAN Function in Excel

The IMTAN function returns the tangent of a complex number in x + yi or x + yj text format. The tangent of a complex number is calculated by the following formula:

Syntax:= IMTAN (inumber)

The IMTAN function syntax has the following arguments:

  • Inumber: Required. A complex number for which you want the tangent

Example: Let’s look at some Excel IMTAN function examples and explore how to use the IMTAN function as a worksheet function in Microsoft Excel:

Syntax:  =IMTAN(A2)

Result:

Based on the Excel spreadsheet above, the following IMTAN examples would return:

Syntax: =IMTAN(A3)
Result: 0.0338128260798967-1.01479361614663i

Syntax: =IMTAN(A4)
Result: -1.6343988925314E-08-0.999999974296243i

Syntax: =IMTAN(A5)
Result: -0.237013830916271-0.896437917127862i

Syntax: =IMTAN(A6)
Result: 0.00490825806749606+1.00070953606723i

Syntax: =IMTAN(A7)
Result: i

Syntax: =IMTAN(A8)
Result: 0.273553082807307-1.0028105075835i

Syntax: =IMTAN(A9)
Result: 0.0000898347764697156+1.00001320743478i

Syntax: =IMTAN(A10)
Result: -2.99350606711029E-10-0.999999999529219i

Syntax: =IMTAN(A11)
Result: -4.10750577733132E-11-1.00000000006335i

Syntax: =IMTAN(A12)
Result: 7.75702968155393E-18-j

Syntax: =IMTAN(A13)
Result: 2.57039272660676E-21+i

Note:

  • Use COMPLEX to convert real and imaginary coefficients into a complex number.
  • If inumber is a value that is not in the x+yi or x+yj text format, IMTAN returns the #NUM! error value.
  • If inumber is a logical value, IMTAN returns the #VALUE! error value.

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