IMCOS function

Returns the cosine of a complex number. The cosine of a complex number can be expressed by:

cos(a+bi) = cos(a)cosh(b) - sin(a)sinh(b)i

The result is presented in the string format and has the character "i" or "j" as an imaginary unit.

Note Icon

This function is part of the Open Document Format for Office Applications (OpenDocument) standard Version 1.2. (ISO/IEC 26300:2-2015)


Syntax

IMCOS(Complex_number)

Complex_number is a complex number whose cosine is to be calculated.

Note Icon

A complex number is a string expression resulting in the form "a+bi" or "a+bj", where a and b are numbers.
If the complex number is actually a real number (b=0), then it can be either a string expression or a number value.


Warning Icon

The function always returns a string representing a complex number.
If the result is a complex number with one of its parts (a or b) equal to zero, that part is not displayed.


Examples

=IMCOS("4-3i")
returns -6.58066304055116-7.58155274274654i.

=IMCOS(2)
returns -0.416146836547142 as a string. The imaginary part is equal to zero, so it is not displayed in the result.

Open file with example:

Please support us!