IMSEC Function in Excel: Secant of a Complex Number

IMSEC Function in Excel: Secant of a Complex Number 1
⏱ 1 min read

Complex numbersLevel: ExpertAvailable in: Excel 2013+

In this article
  1. Syntax
  2. Examples
  3. Example 1
  4. IMSEC in practice
  5. Where you will use it
  6. Worked example
  7. Mistakes people make
  8. Related functions

IMSEC returns 1/cos(z). Complex numbers are text like 3+4i; build them with COMPLEX.

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Syntax

=IMSEC(inumber)
Argument What it means
inumber Complex number as text, e.g. “3+4i”

Examples

Example 1

=IMSEC(A2)

Result: -0.0362534969158689+0.00516434460775318i. See the worked example table below for more cases.

IMSEC in practice

Where you will use it

  • AC circuit calculations (impedance, phase)
  • Signal processing
  • Engineering coursework

Worked example

zFormulaResult
3+4i=IMSEC(A2)-0.0362534969158689+0.00516434460775318i
1-i=IMSEC(A3)0.498337030555187-0.591083841721045i
2i=IMSEC(A4)0.26580222883408

Results calculated in Excel.

Mistakes people make

MistakeWhat to do instead
Spaces inside the text"3 + 4i" gives #NUM!; write 3+4i
Result is textUse IMREAL/IMAGINARY to get numbers back

COMPLEX · IMABS · IMREAL

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