IMTANH functionThe 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.