IMCOT function

Returns the cotangent of a complex number.

The cotangent of a complex number can be expressed by:

\cot (a + bi) = \frac{\sin (2 a) - i \sinh (2 b)}{\cosh (2 b) - \cos (2 a)}

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

Ця фукція доступна з версії LibreOfficeDev 3.6.

Syntax

IMCOT(Complex_number)

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

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.

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.

Приклади

=IMCOT("4-3i")
returns 0.00490118239430447+0.999266927805902i.

=IMCOT(2)
returns -0.457657554360286 as a string. The imaginary part is equal to zero, so it is not displayed in the result.

Технічна інформація

This function is part of the Open Document Format for Office Applications (OpenDocument) standard.

IMCOT wiki page.

IMTAN