# IMCOSH function

The IMCOSH function returns the hyperbolic cosine of the given complex number.  For example, a given complex number "x+yi" returns "cosh(x+yi)."

## Parts of an IMCOSH formula

`IMCOSH(number) `

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

`IMCOSH(COMPLEX(4, 6))`

`IMCOSH(4)`

`IMCOSH("2+3i")`

## Notes

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

## Examples

 A B 1 Formula Result 2 `=IMCOSH(COMPLEX(4, 1))` 14.7547011704838+22.963673499193i 3 `=IMCOSH(3.5)` 16.5728246710573 4 `=IMCOSH("3+2i")` -4.18962569096881+9.10922789375534i

## Related function

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

IMCOS: The IMCOS function returns the cosine of the given complex number.

IMSINH: The IMSINH function returns the hyperbolic sine of the given complex number.