IMCSCH

Get hyperbolic cosecant of complex number

Syntax

EXCEL Copy

=IMCSCH(complex_num)

Arguments

Parameter	Description
complex_num	The complex number in the form "x+yi".

Return Value

The hyperbolic cosecant of the complex number.

Details

The Excel IMCSCH function returns the hyperbolic cosecant of a complex number. Given "1+1.5707963267949i" as input, the function returns "-1.72324E-15-0.648054274i" as output. The complex hyperbolic cosecant function is the reciprocal of the complex hyperbolic sine function. In Excel, the function's output is equivalent to the following formula.

Examples

Example 1

The Excel IMCSCH function returns the hyperbolic cosecant of a complex number. Given "1+1.5707963267949i" as input, the function returns "-1.72324E-15

EXCEL Copy

=IMCSC(COMPLEX(1, PI()/2)) // returns -1.72324E-15-0.648054274i

Explanation

In Excel, the function's output is equivalent to the following formula.

EXCEL Copy

=IMDIV(1,IMSINH(z)) // equivalent to IMCSCH(z)

See Also

COMPLEX CSC CSCH