IMSECH function

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.

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