Syntax
CSCH(number)
| Parameter | Description |
|---|---|
| number | Parameter of the CSCH function. |
Examples
CSCH of 1
Formula
=CSCH(1)
Returns ~0.8509. The hyperbolic cosecant of 1 is 1/SINH(1) ≈ 1/1.1752 ≈ 0.8509.
CSCH of 2
Formula
=CSCH(2)
Returns ~0.2757. CSCH decreases toward 0 as x increases.
Verify reciprocal
Formula
=CSCH(1.5) * SINH(1.5)
Returns 1. Confirms that CSCH is the reciprocal of SINH.
Common Errors
#DIV/0!
CSCH(0) is undefined because SINH(0) = 0. Division by zero produces #DIV/0!.
#VALUE!
Non-numeric arguments return #VALUE!.
Tips
1/SINH alternative
CSCH(x) = 1/SINH(x). Use whichever form makes your formula clearer.
Odd function
CSCH(-x) = -CSCH(x). Like SINH, it's antisymmetric about the origin.
Rarely needed in spreadsheets
CSCH is one of the least commonly used trig functions in spreadsheet work. It's mainly needed when implementing specific published engineering formulas.
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