# IMSINH function

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

## Parts of an IMSINH function

`IMSINH(number)`

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

## Sample formulas

`IMSINH(COMPLEX(4,6))`

`IMSINH(4)`

`IMSINH("2+3i")`

## Notes

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

## Examples

 A B 1 Formula Result 2 `=IMSINH(COMPLEX(4,1))` 14.7448051885587+22.9790855778861i 3 `=IMSINH(3.5)` 16.542627287635 4 `=IMSINH("3+2i")` -4.16890695996657+9.15449914691143i

## Related functions

IMSIN:  The IMSIN function returns the sine of the given complex number.

COMPLEX: The COMPLEX function creates a complex number, given real and imaginary coefficients.

IMCOSH:  The IMCOSH function returns the hyperbolic cosine of the given complex number.