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Engineering - IMCOS Function
Description
The IMCOS function returns the cosine of a Complex Number in x + yi or x + yj text format.
Syntax
IMCOS (inumber)
Arguments
Argument | Description | Required/Optional |
---|---|---|
Inumber | A Complex Number for which you want the cosine. | Required |
Notes
Complex Numbers in Excel are simply stored as text.
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.
Complex Number Functions can accept a simple numeric value, as this is equivalent to a Complex Number whose imaginary Coefficient is equal to 0.
Use COMPLEX to convert real and imaginary coefficients into a Complex Number.
The cosine of a complex number is −
$$\cos(x + yi)=\cos(x)\cosh(y)-\sin(x)\sinh(y)i$$
If inumber is not recognized as a complex number, IMCOS returns the #NUM! error.
If inumber is a logical value, IMCOS returns the #VALUE! Error.
Applicability
Excel 2007, Excel 2010, Excel 2013, Excel 2016