ASINH Function (LibreOffice Calc)
The ASINH function returns the inverse hyperbolic sine of a number. The result is expressed in radians and is used in advanced mathematics, engineering, and scientific modeling.
Compatibility
▾| Excel | ✔ |
| Gnumeric | ✔ |
| Google_sheets | ✔ |
| Libreoffice | ✔ |
| Numbers | ✔ |
| Onlyoffice | ✔ |
| Openoffice | ✔ |
| Wps | ✔ |
| Zoho | ✔ |
What the ASINH Function Does ▾
- Computes the inverse hyperbolic sine
- Returns an angle in radians
- Accepts any real number
- Useful in scientific, engineering, and computational mathematics
Syntax ▾
ASINH(number)
Arguments
- number:
Any real numeric value.
Basic Examples ▾
Inverse hyperbolic sine of a value
=ASINH(0)
→ 0
=ASINH(2)
→ 1.443635475
Convert result to degrees
=DEGREES(ASINH(2))
Using a cell reference
=ASINH(A1)
Advanced Examples ▾
Compute ASINH using its logarithmic identity
=LN(A1 + SQRT(A1^2 + 1))
Normalize input for stability
=ASINH(VALUE(A1))
Hyperbolic geometry modeling
=ASINH(SINH(A1) * COSH(A2))
Engineering formula example
=ASINH((V - I) / R)
Use with EXP and LN for analytic transformations
=ASINH((EXP(A1) - EXP(-A1)) / 2)
Edge Cases and Behavior Details ▾
ASINH returns a numeric value (radians)
Accepts:
- Any real number
- Expressions that evaluate to numbers
Behavior details
- Domain is (–∞, ∞)
- Output is in radians
- ASINH is defined for all real numbers
- Use DEGREES() to convert the result
Invalid input → Err:502 (non-numeric)
ASINH of an error → error propagates
Common Errors and Fixes ▾
Err:502 — Invalid argument
Cause:
- Input is text
- Input cannot be coerced to a number
Fix:
- Convert text to number with VALUE
- Validate numeric input
Unexpected result
Cause:
- Forgetting ASINH returns radians
- Using extremely large values without normalization
Fix:
- Wrap with DEGREES
- Normalize input if necessary
Best Practices ▾
- Convert to degrees when presenting angles
- Use ASINH with ACOSH and ATANH for full hyperbolic workflows
- Combine with LN and EXP for scientific modeling
- Validate numeric input for stability
ASINH is your inverse‑hyperbolic‑sine tool — essential for engineering, physics, and advanced mathematical modeling.
Related Patterns and Alternatives ▾
- Use SINH for forward hyperbolic sine
- Use ACOSH and ATANH for other inverse hyperbolic functions
- Use DEGREES and RADIANS for angle conversion
- Use LN and EXP for analytic transformations
By mastering ASINH and its companion functions, you can build precise, reliable hyperbolic and scientific models in LibreOffice Calc.