The IMSECH function returns the hyperbolic secant of the given complex number.
For example, a given complex number "x+yi" returns "sech(x+yi)."
Parts of an IMSECH function
IMSECH(number)
| Part | Description | Notes |
number |
The complex number for which you want the hyperbolic secant. | 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
IMSECH(COMPLEX(4,6))
IMSECH(4)
IMSECH("2+3i")
Notes
The IMSECH function returns an error if the given number isn't a valid complex number.
Examples
| A | B | |
| 1 | Formula | Result |
| 2 | =IMSECH(COMPLEX(4,1)) |
0.0198041304666168-0.0308224192896954i |
| 3 | =IMSECH(3.5) |
0.0603397441201677 |
| 4 | =IMSECH("3+2i") |
-0.0416749644111443-0.0906111371962376i |
Related functions
IMCOSH: The IMCOSH function returns the hyperbolic cosine of the given complex number.
IMSECH: The IMSECH function returns the hyperbolic secant of the given complex number.
COMPLEX: The COMPLEX function creates a complex number, given real and imaginary coefficients.