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.