ASIN in Calligra Sheets: Find an Angle from Its Sine

ASIN: Find the principal inverse sine (arcsine) of a number between -1 and 1. The angle is returned in radians. For a first check, see the six-row worksheet below. All shown outputs are expected values independently calculated from the documented mathematical function; they have not been observed in native Calligra Sheets.

ASIN reverses the sine function on its principal interval: for example, the sine of π/6 is 0.5, so ASIN(0.5) returns π/6 radians. The function takes a sine ratio, not a degree angle.

The output is the principal arcsine, not every angle having that sine value. Input domain is [-1,1].

=ASIN(value)

The official KDE Calligra Sheets function list displays ASIN(Float) and describes its return value as floating-point. In that notation Float denotes the required numeric input; it is not a keyword to type in a formula. The function takes one required argument, with no documented optional parameters or default values.

• Argument: value — required numeric sine ratio between -1 and 1, inclusive. The return is a principal angle in radians between −π/2 and +π/2. The handbook’s generic parameter label says “Angle (radians),” but the mathematical input is a dimensionless sine value, not a degree angle.
• Mathematical rule: angle (radians) = arcsin(value); for real input, −1 ≤ value ≤ 1.
• Documented reference example: The KDE handbook gives ASIN(0.8) ≈ 0.92729522 radians and ASIN(0) = 0.
• Version and scope: This function is listed in the online KDE stable-KF6 handbook (the longer handbook is older than the current application) and separately identified in the recorded Calligra 26.08.2 source registry as func_asin in the trig module. The 26.08.2 KDE Gear release is dated October 8, 2026. Registry presence is release-scoped evidence, not a claim that a particular installed binary has been executed. Platform builds may differ; the Calligra download page focuses on Linux distribution packages/Flatpak and describes Windows work as ongoing.

Formula entry and locale: A formula cell begins with =. The KDE formula editor instructions use a semicolon (;) between arguments of multi-argument functions; ASIN itself has one argument. This page uses an English-style period for decimal numbers (for example, 0.5). Regional numeric formats, separators and localized display strings can differ; use Insert → Function to inspect the function help in your installed language, and never blindly convert between comma-decimal locales and the examples here.

1. In a blank sheet enter Label, Input, Result in A1, B1 and C1.
2. For DEGREES, type each formula beginning with = into B2:B7; for the other four functions, type the numeric values in B2:B7. The B column must contain numbers after entry; the examples contain no angle symbols in numeric cells.
3. Enter =ASIN(B2) in C2; copy/fill it down to C7, allowing each row reference to update naturally.
4. Format C2:C7 to six decimals for comparison. The table’s six-digit figures are rounded expectations, not exact binary-floating-point checks.

Check: Compare the inputs row-by-row. If a result differs, verify the numeric cell values, function spelling, formula entry, chosen input units and decimal display precision before concluding the function is wrong. The table’s expected six-decimal values were generated using independent Python math calculations.

If the opposite side measures 5 metres and the hypotenuse measures 10 metres, the sine of the acute elevation angle is 5/10 = 0.5. Put opposite side 5 in E2 and hypotenuse 10 in F2, then enter:

=DEGREES(ASIN(E2/F2))

The mathematically expected result is 30°. The outer DEGREES converts the radian angle for an ordinary diagram. This model assumes a valid right triangle, positive hypotenuse and a physically possible ratio. To avoid a domain problem for questionable measurements, first verify F2>0 and ABS(E2)<=F2; otherwise correct the measurements instead of silently clipping their ratio.

• Invalid domain: ASIN(1.1) has no real angle. Treat out-of-range measurements as a data issue; an exact Calligra error code is not asserted without native testing.
• Radians, not degrees: =ASIN(0.5) gives about 0.523599 radians, not 30; use =DEGREES(ASIN(0.5)) for 30 degrees.
• The input is a sine ratio: do not type ASIN(30) to mean “inverse sine of thirty degrees.” Trigonometric inverses work from a function value.
• Multiple possible physical angles: sine repeats, but ASIN returns only the principal angle. Supplement with geometry if the intended angle is in another quadrant.
• Floating-point overrun: a computed ratio just above 1 because of rounding may be invalid. Verify the underlying data; avoid unreviewed MIN/MAX clamping.
• Text or unexpected result: verify numeric cells, the formula’s equals sign and locale interpretation.

Excel, LibreOffice Calc and Calligra document ASIN(number) with a principal radian result; use DEGREES in all three to express that value in degrees. Avoid claiming that they display the same error messages for invalid values: this was not tested.

The equivalent operation and examples are documented in Microsoft Excel help and LibreOffice Calc mathematical-function help. Those sources were checked on 2026-10-11. They establish comparable documented mathematics, not proof of identical parsing, precision, platform support or worksheet import behavior.

• KDE handbook: ASIN syntax, input and sample, accessed 2026-10-11; older handbook revision must not be misrepresented as a complete 26.08.2 inventory.
• Recorded Calligra 26.08.2 trig-module source registration, linked from the repository’s release-scoped official catalogue; revision 72123cc643f6625351139e7df294544255a1056f. This source location was taken from the already verified source inventory; no native execution was done.
• KDE Gear 26.08.2 release announcement, 2026-10-08, checked 2026-10-11.
• KDE formula editing and semicolon conventions, checked 2026-10-11.
• KDE formula errors and recalculation, checked 2026-10-11.
• Microsoft Excel ASIN reference and LibreOffice Calc function reference, checked 2026-10-11.

• Calligra Sheets — function documentation
• KDE formula editor instructions
• Simple Sums troubleshooting guide
• LibreOffice Calc mathematical-function help
• Recorded Calligra 26.08.2 trig-module source registration
• KDE Gear 26.08.2 release announcement

Verification status: Official documentation checked; example outcomes were independently reasoned or arithmetically checked where applicable. Not executed in Calligra Sheets.

• No genuine Calligra Sheets screenshots are included; this guide does not use mock application images.