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)

PartDescriptionNotes
numberThe 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

AB
1Formula
2=IMSECH(COMPLEX(4,1))
3=IMSECH(3.5)
4=IMSECH("3+2i")

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.