# IMSIN function

The IMSIN function returns the sine of the given complex number. For example, a given complex number "x+yi" returns "sin(x+yi)."

## Parts of an IMSIN function

`IMSIN (number)`

 Part Description Notes `number` The complex number for which you want the sine. This can be either the result of the COMPLEX function, a real number (which will be interpreted as a complex number with imaginary part equal to 0), or a string in the format "x+ yi" where x and y are numeric.

## Sample formulas

`IMSIN(COMPLEX(4,6))`

`IMSIN(4)`

`IMSIN("2+3i")`

## Notes

The IMSIN function returns an error if the given number isn't a valid complex number.

## Examples

A B
1 Formula Result
2 =IMSIN(COMPLEX(4,1)) -1.16780727488952-0.768162763456573i
3 =IMSIN(3.5) -0.35078322768962
4 IMSIN=("3+2i") 0.53092108624852-3.59056458998578i

## Related functions

• IMCOS:  The IMCOS function returns the cosine of the given complex number.
• COMPLEX: The COMPLEX function creates a complex number, given real and imaginary coefficients.