# IMTANH function

The IMTANH function returns the hyperbolic tangent of the given complex number. For example, a given complex number "x+yi" returns "tanh(x+yi)."

## Parts of an IMTANH function

`IMTANH(number) `

 Part Description Notes `number` The complex number for which you want the hyperbolic tangent. 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

`IMTANH(COMPLEX(4,6))`

`IMTANH(4)`

`IMTANH("2+3i")`

## Notes

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

## Examples

 A B 1 Formula Result 2 `=IMTANH(COMPLEX(4,1))` 1.00027905623447+0.00061024092137626i 3 `=IMTANH(3.5)` 0.998177897611199 4 `=IMTANH("3+2i")` 1.00323862735361-0.00376402564150425i

## Related functions

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