Зміст

# IMTAN function

Returns the tangent of a complex number.

The tangent of a complex number can be expressed by:

tan ( a + bi ) = sin ( 2 a ) + i sinh ( 2 b ) cos ( 2 a ) + cosh ( 2 b ) tan(a+bi)={sin(2a)+i`sinh(2b)} over {cos(2a)+cosh(2b)}

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

Ця фукція доступна з версії LibreOffice 3.6.

### Syntax

IMTAN(Complex_number)

Complex_number is a complex number whose tangent 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

=IMTAN("4-3i")
returns 0.00490825806749606-1.00070953606723i.

=IMTAN(2)
returns -2.18503986326152 as a string. The imaginary part is equal to zero, so it is not displayed in the result.

#### Технічна інформація

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

Пов'язані теми

IMTAN wiki page.

IMCOT

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