\<bookmark_value\>DELTA function\</bookmark_value\>\<bookmark_value\>recognizing;equal numbers\</bookmark_value\>

IMSINH function

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

IMSINH equation

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

note

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


tip

This function is available since LibreOffice 3.6.


Syntax

IMSIN(Complex number)

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

note

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

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.


Example:

=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.

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