ASIN in Collabora Office: Convert Sine Ratios to Principal Angles

• Introduced: documented in Collabora Office 26.04 Help; the original introduction version is not established by the reviewed history.
• Availability: the official ASIN reference documents support in Calc’s 26.04 desktop manual.
• Scope: this evidence does not establish identical behavior in Collabora Online, mobile clients or older releases.
• Checked: October 14, 2026 against the captured 26.04 manual. Examples were calculated independently; no native Collabora execution was performed.

=ASIN(number)

The input is a sine ratio, not an angle. For real-valued inverse sine, the ratio must lie from −1 through 1. A percentage value of 50% is 0.5; the number 50 is outside this real-valued domain.

The official 26.04 reference defines the inverse and its principal-angle interval. The domain follows from the real sine range. This guide does not claim a particular native error code for every invalid argument.

Enter −1, −0.5, 0, 0.5, 1 in A2:A6. In B2 enter and fill down:

=DEGREES(ASIN(A2))

Expected B2:B6: approximately −90, −30, 0, 30, 90 degrees.

Without DEGREES, the corresponding outputs are approximately −1.570796327, −0.523598776, 0, 0.523598776, 1.570796327 radians. Label the output unit so these two representations are not confused.

For an illustrative right triangle with opposite side 3 and hypotenuse 5:

=DEGREES(ASIN(3/5))

Expected result: approximately 36.869897646 degrees. The ratio 0.6 is dimensionless because both side lengths use the same unit.

ASIN receives 3/5, not 3 or 5 separately. A hypotenuse cannot be shorter than the magnitude of the opposite side in this model. If imported measurements produce a ratio above one, investigate the data rather than forcing it into range without explanation.

=DEGREES(ASIN(-0.8))

Expected result: approximately −53.130102354 degrees. ASIN preserves the sign within its principal range. This can be useful for an illustrative signed vertical component, but the sign convention must be specified by the surrounding model.

It does not select every possible direction that has that sine. A single ratio lacks the complete quadrant information available from a pair of coordinates.

Compare:

=SIN(RADIANS(30))
=SIN(RADIANS(150))

Both are approximately 0.5. Applying the principal inverse:

=DEGREES(ASIN(SIN(RADIANS(150))))

Expected result: approximately 30, not 150. The original angle lies outside ASIN’s principal interval, so the inverse returns the representative inside that interval.

For a geometric angle known in advance to be in another quadrant, additional information is required. Use ATAN2 when both coordinates are available rather than assuming ASIN alone recovers direction.

For a numeric ratio in D2:

=IF(AND(D2>=-1;D2<=1);DEGREES(ASIN(D2));"Review ratio")

With values 0.6, 1.1 and −1.2, expected results are approximately 36.869897646, Review ratio and Review ratio. This guard assumes the input is numeric; imported text or existing errors need a separate validation rule.

Keep the raw ratio beside the output. Silently clipping 1.1 to 1 would change the question and produce a misleading 90-degree answer. Only apply a documented numerical tolerance when the source calculation justifies it.

Inverse sine becomes sensitive near −1 and 1: a small change in the ratio can make a comparatively larger change in the angle. Preserve sufficient precision in the ratio and distinguish measurement uncertainty from display rounding.

A round-trip check such as =SIN(ASIN(0.6)) is expected to return approximately 0.6. Use a reasonable tolerance rather than assuming every composition is bit-for-bit exact.

ACOS uses a different ratio and principal interval. SIN goes from angle to ratio. Name the input and output units clearly so the direction of conversion is visible to the next reader.

• Collabora Office 26.04 Help: ASIN — direct product-specific definition and syntax.
• Editorial testing standards.

The examples use semicolon argument separators. Displayed decimals are rounded expected values, not exact native outputs. Mathematical identities are explanatory calculations; product support is limited to the cited documentation scope.