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IMSINH function

Returns the hyperbolic sine of a complex number.

The hyperbolic sine of a complex number can be expressed by its real and imaginary parts:

sinh ( a + i b ) = sinh ( a ) cos ( b ) + i cosh ( a ) sin ( b ) sinh(a + {ital i} b) = sinh(a)cos(b) + ital i cosh(a)sin(b)

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

Піктограма Підказка

Ця фукція доступна з версії LibreOfficeDev 3.6.


Syntax

IMSINH(Complex_number)

Complex_number is a complex number whose hyperbolic sine needs to be calculated.

Піктограма Примітка

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.


Піктограма Попередження

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

=IMSINH("4-3i")
returns -27.0168132580039-3.85373803791938i.

=IMSINH(2)
returns 3.62686040784702 as a string. The imaginary part is equal to zero, so it is not displayed in the result.

Технічна інформація

Піктограма Примітка

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