ACOS in SoftMaker PlanMaker 2026: examples and troubleshooting
Compute the angle whose cosine matches a ratio; learn the closed -1 to 1 domain, principal angles, geometry and Excel comparison.
Verification status: Official documentation referenced; example outcomes independently reasoned or arithmetically checked where stated. Not executed in SoftMaker PlanMaker 2026. How formula examples are checked
Quick answer: ACOS returns the principal arccosine in radians. For example, =DEGREES(ACOS(0.5)) has an independently expected result of 60Β°. Its input must be a cosine ratio between β1 and 1, inclusive. The source for the PlanMaker-specific syntax is SoftMaker PlanMaker 2026 (checked 2026-10-13). Calculated results below are independent mathematical expectations, not screenshots or native PlanMaker output.
What ACOS does and when to use it
Arccosine answers: βWhich principal angle has this cosine?β The mathematical principal output is between 0 and Ο radians (0Β° to 180Β°). A cosine does not uniquely identify an arbitrary oriented angle, because cosine is even and periodic. SoftMaker documents ACOS(1)=0 and ACOS(COS(0.1234))=0.1234 as examples; those do not establish universal recovery of all original angles.
Use this function when the quantity being calculated and its units match the mathematical role described. The PlanMaker 2026 function reference is the evidence for the function’s actual PlanMaker name, parameter meaning, and unit conventions. Worked applications are explicitly derived from mathematics; their numeric outputs have not been confirmed by launching PlanMaker.
Exact syntax, argument order, types and defaults
=ACOS(Number)
| Position | Argument (official manual spelling) | Required? | Type and meaning |
|---|---|---|---|
| 1 | Number |
Required | A numeric cosine value (unitless ratio) from β1 through 1 inclusive, or a reference/formula returning such a ratio. |
No optional parameters and no defaults are documented. The capitalization of the displayed parameter name is not a second function or alias. The English manual lists the function as ACOS; there is no documented alternate English function name on the referenced 2026 or 2024 entry. Start spreadsheet formulas with =. English-language examples use decimal points; decimal separators and function-name translations should be checked in the target installation rather than assumed. As this function takes a single argument, the primary syntax uses no list-separator comma or semicolon. The formula-entry instructions explain using the function dialog to check a local installation. PlanMaker 2026; PlanMaker 2024 (checked 2026-10-13).
Reproducible worksheet: input, formulas and expected results
Start a blank worksheet. Put each number in column A of the matching row, then enter the B and C formulas as shown. The final column below is an independently computed comparison, not a value read from PlanMaker.
| Row | A: cosine ratio (enter as a number) | B: arccosine in radians | C: degrees conversion | Independently expected C |
|---|---|---|---|---|
| 2 | 1 | =ACOS(A2) |
=DEGREES(B2) |
0 |
| 3 | 0.5 | =ACOS(A3) |
=DEGREES(B3) |
60 |
| 4 | 0 | =ACOS(A4) |
=DEGREES(B4) |
90 |
| 5 | -0.5 | =ACOS(A5) |
=DEGREES(B5) |
120 |
| 6 | -1 | =ACOS(A6) |
=DEGREES(B6) |
180 |
| 7 | 0.28 | =ACOS(A7) |
=DEGREES(B7) |
approximately 73.7397953 |
Enter the numeric cosine ratios in A2:A7. Put the formulas in B2:B7 and C2:C7, then format C with your desired decimal places. Comparing a computed value to an integer degree should allow normal floating-point tolerance. Column B contains radians even when column C displays degrees; format changes do not convert units.
How to verify: type the inputs as numbers, enter formulas with =, and compare the displayed values with the expectations at sensible precision. Different display formats and finite-precision arithmetic can change the final decimal places. Numeric display formatting does not change whether an angle is radians or degrees. The source formulas and output-unit requirement are documented by SoftMaker ACOS; output values other than the vendor’s explicit example were mathematically calculated independently.
Additional single-cell checks
=ACOS(1)β independently expected 0 (independently computed mathematical expectation, not a PlanMaker runtime test).=ACOS(-0.5)β independently expected 2.09439510239 (independently computed mathematical expectation, not a PlanMaker runtime test).=DEGREES(ACOS(0.28))β independently expected 73.7397952917 (independently computed mathematical expectation, not a PlanMaker runtime test).
Advanced use and common misconceptions
Angle opposite a side via the law of cosines
A triangle has sides a = 5, b = 5 and an opposite side c = 6. Put 5, 5, 6 into E2, F2, G2 respectively. To compute the included angle between sides a and b:
=DEGREES(ACOS((E2^2+F2^2-G2^2)/(2*E2*F2)))
The cosine argument independently becomes (25 + 25 β 36)/50 = 0.28. The expected angle is approximately 73.7397952917Β°. First verify that triangle side lengths are positive and meet the triangle inequality; invalid side combinations can make the computed ratio outside β1 to 1.
Right triangle validation
For 3β4β5 sides, the angle opposite the length-5 side satisfies cos(C)=(3^2+4^2β5^2)/(2Β·3Β·4)=0. Therefore =DEGREES(ACOS(0)) independently equals 90Β°. This gives a useful diagnostic for a right-angle geometry formula.
Cosine cannot determine orientation by itself
Both +60Β° and β60Β° have cosine 0.5. =DEGREES(ACOS(COS(RADIANS(-60)))) independently yields 60Β°, not β60Β°. If direction or quadrant matters, use additional sign information or inspect ATAN2 rather than treating ACOS as a full signed-bearing calculation.
Handle data near the domain boundary
A ratio slightly greater than 1 or less than β1 may come from a measurement issue or an unstable formula. Because ACOS’s documented input is strictly constrained to [β1, 1], first inspect the upstream values. Do not hide genuine geometry problems by applying an unexamined clamp.
Errors, edge cases and troubleshooting
| Symptom | Cause or caution | Practical correction |
|---|---|---|
ACOS(1.0001) or ACOS(-1.0001) |
The ratio lies outside the documented domain. | Check arithmetic and raw inputs; consult the PlanMaker #NUM! error-class reference. |
| A negative physical angle was expected, but output is positive | ACOS selects the principal arccosine 0Β°β180Β°. | Retain direction separately or use a quadrants-aware approach with ATAN2 where applicable. |
| Output is about 1.047 instead of 60 | ACOS outputs radians. | Use =DEGREES(ACOS(0.5)). |
| Cosine close to Β±1 gives jumpy angles | Inverse cosine changes rapidly near these endpoints. | Avoid over-interpreting minute source measurement differences. |
#NULL! or #VALUE! |
Unknown/invalid formula or incorrect argument type are documented general error classes. | Use Formula β Function and a direct numeric argument. |
ACOS requires one numeric argument; there are no optional arguments or defaults. Its documented input domain includes both β1 and 1. Inverse cosine on a real number gives the principal angle, not a globally unique directional angle. The specific error display for each bad input was not natively tested in PlanMaker.
PlanMaker’s official 2026 error-values guide identifies #NUM! as an invalid numerical input, #VALUE! as an inappropriate argument type, #NULL! as an invalid formula or function signature, and #DIV/0! as division by zero. These are general documented categories, not claims that each particular formula in this review was executed to observe a particular error display. Never copy an Excel-specific error code into a PlanMaker guide without checking the vendor documentation first. (PlanMaker error values, checked 2026-10-13).
PlanMaker release, platform, localization and Microsoft Excel compatibility
| Environment | What is actually supported by evidence | Validation limitation |
|---|---|---|
| PlanMaker 2026 / NX English reference | Lists ACOS(Number) and the function meaning described above. 2026 manual. |
Documentation only. No PlanMaker 2026 or NX execution performed. |
| PlanMaker 2024 English reference | Lists the same function name, one-argument order and general mathematical purpose. 2024 manual. | No PlanMaker 2024 execution performed; historical feature-availability should not be extrapolated to all earlier products. |
| Windows / macOS / Linux editions | SoftMaker markets Office Professional 2026 for Windows, Mac and Linux, and NX in multiple platform families. SoftMaker product site. | Marketing and the shared manual do not certify this exact function across every installed build, license, OS or regional configuration. |
| iOS / Android / FreeOffice | The product family may include mobile offerings, but no per-device ACOS feature verification was performed. | Not asserted supported or unsupported. Verify locally or in the edition-specific help. |
| Locale and formula input | The English manual uses the English name ACOS and one argument. Function entry. |
Localized names, decimal-comma locales and any relevant separators not tested. Read the installed function dialog. |
| Microsoft Excel (independently documented) | Microsoft’s separate =ACOS(Number)-family function reference documents the corresponding mathematical operation and radian/ratio convention. Excel ACOS. |
A documented mathematical/syntax match is not a tested Excel import/export round-trip or a claim that every edge-case error is identical. |
For .xlsx interchange, compare results on representative numeric inputs in both applications before treating a production workbook as validated. No workbook was opened, converted, saved, or executed in either PlanMaker or Excel during this research run.
Checked related documentation
- Official SoftMaker PlanMaker 2026 ACOS reference β syntax, purpose, and the vendor’s worked example.
- Official SoftMaker PlanMaker 2024 ACOS reference β separate version cross-check.
- Official PlanMaker 2026 COS β cosine β vendor documentation.
- Official PlanMaker 2026 DEGREES β convert radians to degrees β vendor documentation.
- Official PlanMaker 2026 SIN β sine β vendor documentation.
- Official PlanMaker 2026 ATAN2 β two-coordinate arctangent β vendor documentation.
- Official PlanMaker 2026 PI β Ο constant β vendor documentation.
- PlanMaker 2026 formula-entry help β entering and editing a formula.
- PlanMaker 2026 error-values help β PlanMaker-specific error categories.
- Microsoft Excel ACOS reference β separate vendor’s function documentation.
Source and testing disclosure
Reference-check date: 2026-10-13. PlanMaker 2026 and PlanMaker 2024 function pages were reviewed separately, as were the current SoftMaker general help pages and the Microsoft Excel reference. All example values are independently calculated, using elementary mathematical identities and Python’s math routines as appropriate. This is not a native SoftMaker result.
Validation matrix: PlanMaker 2026: 0 native formula executions; PlanMaker 2024: 0; PlanMaker NX: 0; Excel: 0; other editions/platforms: 0; screenshots: 0; Excel import/export checks: 0.