# How to Use IMCOTH function in Google Sheets in 2020?

IMCOTH functionThe 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.