{
  "software": "gnumeric",
  "function": "SEC",
  "review_date": "2026-10-12",
  "validation_method": "Independent Python numeric and limited database-criteria models; not a native application or a general spreadsheet parser. Error tokens model documented rules only.",
  "native_application_execution": false,
  "hugo_compiled": false,
  "passed": 8,
  "total": 8,
  "scope": "Explicit examples only, not every input or application version. Expected error tokens are documented rules, not observed native error outputs.",
  "official_references": [
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/CATEGORY_Mathematics.html#gnumeric-function-SEC",
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/sect-data-types.html",
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/sect-configuration-localization.html",
    "https://gnome.pages.gitlab.gnome.org/gnumeric/manual/CATEGORY_Mathematics.html",
    "https://support.microsoft.com/en-us/excel/functions/sec-function"
  ],
  "examples": [
    {
      "case_id": 149,
      "software": "gnumeric",
      "function": "SEC",
      "source_path": "content/gnumeric/functions/sec.md",
      "formula": "=SEC(0)",
      "operation": "sec_degrees",
      "args": [
        0
      ],
      "expected": 1,
      "native_executed": false,
      "multiplier": 1,
      "model_result": 1.0,
      "passed": true
    },
    {
      "case_id": 150,
      "software": "gnumeric",
      "function": "SEC",
      "source_path": "content/gnumeric/functions/sec.md",
      "formula": "=SEC(PI()/6)",
      "operation": "sec_degrees",
      "args": [
        30
      ],
      "expected": 1.15470054,
      "native_executed": false,
      "multiplier": 1,
      "model_result": 1.1547005383792515,
      "passed": true
    },
    {
      "case_id": 151,
      "software": "gnumeric",
      "function": "SEC",
      "source_path": "content/gnumeric/functions/sec.md",
      "formula": "=SEC(PI()/4)",
      "operation": "sec_degrees",
      "args": [
        45
      ],
      "expected": 1.41421356,
      "native_executed": false,
      "multiplier": 1,
      "model_result": 1.414213562373095,
      "passed": true
    },
    {
      "case_id": 152,
      "software": "gnumeric",
      "function": "SEC",
      "source_path": "content/gnumeric/functions/sec.md",
      "formula": "=SEC(RADIANS(60))",
      "operation": "sec_degrees",
      "args": [
        60
      ],
      "expected": 2,
      "native_executed": false,
      "multiplier": 1,
      "model_result": 1.9999999999999996,
      "passed": true
    },
    {
      "case_id": 153,
      "software": "gnumeric",
      "function": "SEC",
      "source_path": "content/gnumeric/functions/sec.md",
      "formula": "=SEC(RADIANS(-60))",
      "operation": "sec_degrees",
      "args": [
        -60
      ],
      "expected": 2,
      "native_executed": false,
      "multiplier": 1,
      "model_result": 1.9999999999999996,
      "passed": true
    },
    {
      "case_id": 154,
      "software": "gnumeric",
      "function": "SEC",
      "source_path": "content/gnumeric/functions/sec.md",
      "formula": "=SEC(RADIANS(120))",
      "operation": "sec_degrees",
      "args": [
        120
      ],
      "expected": -2,
      "native_executed": false,
      "multiplier": 1,
      "model_result": -2.000000000000001,
      "passed": true
    },
    {
      "case_id": 155,
      "software": "gnumeric",
      "function": "SEC",
      "source_path": "content/gnumeric/functions/sec.md",
      "formula": "=12*SEC(RADIANS(30))",
      "operation": "sec_degrees",
      "args": [
        30
      ],
      "expected": 13.85640646,
      "native_executed": false,
      "multiplier": 12,
      "model_result": 13.856406460551018,
      "passed": true
    },
    {
      "case_id": 156,
      "software": "gnumeric",
      "function": "SEC",
      "source_path": "content/gnumeric/functions/sec.md",
      "formula": "=1/COS(RADIANS(30))",
      "operation": "sec_degrees",
      "args": [
        30
      ],
      "expected": 1.15470054,
      "native_executed": false,
      "multiplier": 1,
      "model_result": 1.1547005383792515,
      "passed": true
    }
  ]
}