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IMSIN function

Returns the sine of a complex number.

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

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

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

Syntax

IMSIN(Complex_number)

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

Huomautus-kuvake

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.


Varoitus-kuvake

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.


Examples

=IMSIN("4-3i")
returns -7.61923172032141+6.548120040911i.

=IMSIN(2)
returns 0.909297426825682 as a string. The imaginary part is equal to zero, so it is not displayed in the result.

Teknistä tietoa

Huomautus-kuvake

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