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## IMCOSH function

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

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

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

Ця функція є частиною стандарту Open Document Format for Office Applications (OpenDocument) версії 1.2. (ISO/IEC 26300:2-2015)

Ця функція доступна, починаючи з LibreOffice 3.6

### Syntax

IMCOSH(Complex_number)

Complex_number is a complex number whose hyperbolic cosine 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

=IMCOSH("4-3i")
returns -27.0349456030742-3.85115333481178i.

=IMCOSH(2)
returns 3.76219569108363 as a string. The imaginary part is equal to zero, so it is not displayed in the result.

Пов'язані теми

IMCOS, IMSIN, IMSINH