CSCH Function (LibreOffice Calc)
The CSCH function returns the hyperbolic cosecant of a number. It is the reciprocal of the hyperbolic sine function and is used in advanced mathematics, engineering, and modeling involving hyperbolic functions.
Compatibility
▾| Excel | ✔ |
| Gnumeric | ✔ |
| Google_sheets | ✔ |
| Libreoffice | ✔ |
| Numbers | ✔ |
| Onlyoffice | ✔ |
| Openoffice | ✔ |
| Wps | ✔ |
| Zoho | ✔ |
What the CSCH Function Does ▾
- Computes the hyperbolic cosecant of a number
- Input is a real number (not an angle)
- Returns a real value or an error if undefined
- Used in calculus, differential equations, physics, and engineering
Syntax ▾
CSCH(number)
Arguments
- number:
A real number for which to compute the hyperbolic cosecant.
Basic Examples ▾
Simple evaluation
=CSCH(1)
→ 0.850918128
Reciprocal identity
=1 / SINH(2)
→ same as =CSCH(2)
Negative input
=CSCH(-3)
→ -0.099821569
Advanced Examples ▾
Use in engineering transfer functions
=CSCH(A1 * PI())
Hyperbolic identity check
=CSCH(x) * SINH(x)
→ 1
Avoid undefined values
=IF(SINH(A1)=0; "Undefined"; CSCH(A1))
Modeling exponential decay
=CSCH(time * rate)
Parametric hyperbolic geometry
=radius * CSCH(theta)
Edge Cases and Behavior Details ▾
CSCH returns a real number unless undefined
Undefined when:
SINH(number) = 0
This occurs only at 0.
Result → Err:532 (Division by zero)
Behavior details
- Input is not an angle — no radians/degree conversion
- Very small values near zero produce extremely large magnitudes
- Errors propagate
Common Errors and Fixes ▾
Err:532 — Division by zero
Cause:
- Input is 0
Fix:
- Check with
IF(number=0; ...)
Unexpected large output
Cause:
- Input close to zero → SINH(x) very small
Fix:
- Validate domain
- Use constraints in modeling
Best Practices ▾
- Validate inputs to avoid division-by-zero
- Use CSCH for hyperbolic modeling, not circular trig
- Combine with SINH, COSH, TANH for full hyperbolic workflows
- Use in physics, calculus, and differential equation modeling
- Keep formulas readable by using CSCH instead of
1/SINH(x)
CSCH is essential when working with hyperbolic systems — especially in physics, signal modeling, and differential equations where reciprocal hyperbolic behavior appears naturally.
Related Patterns and Alternatives ▾
- SINH — hyperbolic sine
- COSH — hyperbolic cosine
- TANH — hyperbolic tangent
- SECH / COTH — reciprocal hyperbolic functions
- ASINH / ACOSH / ATANH — inverse hyperbolic functions
By mastering CSCH, you can build precise hyperbolic models in LibreOffice Calc.