# IMCOTH function

The IMCOTH function returns the hyperbolic cotangent of the given complex number. For example, a given complex number "x+yi" returns "coth(x+yi)."

## Parts of an IMCOTH function

`IMCOTH(number) `

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

`IMCOTH(COMPLEX(4,6))`

`IMCOTH(4)`

`IMCOTH("2+3i")`

## Notes

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

## Examples

 A B 1 Formula Result 2 `=IMCOTH(COMPLEX(4,1))` 0.999720649533931-0.000609900253822228i 3 `=IMCOTH(3.5)` 1.00182542850644 4 `=IMCOTH("3+2i")` 0.996757796569358+0.00373971037633696i

## Related functions

IMTAN:  The IMTAN function returns the tangent of the given complex number.

IMCOT:  The IMCOT function returns the cotangent of the given complex number.

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