ASIN Function (LibreOffice Calc)
The ASIN function returns the arcsine (inverse sine) of a number. The result is an angle expressed in radians, commonly used in trigonometry, geometry, physics, and engineering.
Compatibility
▾| Excel | ✔ |
| Gnumeric | ✔ |
| Google_sheets | ✔ |
| Libreoffice | ✔ |
| Numbers | ✔ |
| Onlyoffice | ✔ |
| Openoffice | ✔ |
| Wps | ✔ |
| Zoho | ✔ |
What the ASIN Function Does ▾
- Computes the inverse sine of a value
- Returns an angle in radians
- Accepts values in the range –1 to 1
- Useful for triangle calculations, wave functions, and geometric modeling
Syntax ▾
ASIN(number)
Arguments
- number:
A numeric value between –1 and 1 inclusive.
Basic Examples ▾
Arcsine of a value
=ASIN(0.5)
→ 0.523598776 (π/6 radians)
Convert result to degrees
=DEGREES(ASIN(0.5))
→ 30
Using a cell reference
=ASIN(A1)
Advanced Examples ▾
Compute angle in a triangle using the Law of Sines
=DEGREES(ASIN(a * SIN(RADIANS(A)) / b))
Normalize input to avoid domain errors
=ASIN(MAX(-1; MIN(1; A1)))
Compute arcsine using logarithmic identity (complex domain)
=-IMLN(IMSUM(IMAGINARY(0); IMSQRT(1 - A1^2))) (for advanced users)
Angle of elevation from slope ratio
=DEGREES(ASIN(Rise / Hypotenuse))
Compute arcsine of a normalized vector component
=ASIN(A1 / SQRT(A1^2 + A2^2 + A3^2))
Edge Cases and Behavior Details ▾
ASIN returns a numeric value (radians)
Accepts:
- Numbers between –1 and 1
- Expressions that evaluate to numbers
Invalid input → Err:502
Behavior details
- Domain is [–1, 1]
- Output is in radians
- ASIN is undefined for values outside the domain
- Use DEGREES() to convert the result
- ASIN(0) returns 0
ASIN of an error → error propagates
Common Errors and Fixes ▾
Err:502 — Invalid argument
Cause:
- Input < –1 or > 1
- Input is text
Fix:
- Clamp values using MAX/MIN
- Convert text to number with VALUE
Unexpected angle
Cause:
- Forgetting ASIN returns radians
- Floating‑point rounding pushing values slightly outside domain
Fix:
- Wrap with DEGREES
- Normalize input with MAX/MIN
Best Practices ▾
- Convert to degrees for human‑readable angles
- Clamp floating‑point inputs to avoid domain errors
- Use ASIN with ACOS and ATAN for complete inverse‑trig workflows
- Combine with PI(), SIN(), COS(), and TAN for geometric modeling
ASIN is your inverse‑sine workhorse — essential for geometry, physics, engineering, and any model involving angles or wave relationships.
Related Patterns and Alternatives ▾
- Use SIN for forward sine
- Use ACOS and ATAN for other inverse trig functions
- Use DEGREES and RADIANS for angle conversion
- Use PI() for circle and rotation calculations
By mastering ASIN and its companion functions, you can build precise, reliable trigonometric and geometric models in LibreOffice Calc.