{
  "software": "apple-numbers",
  "function": "SEC",
  "native_application_execution": false,
  "checked_date": "2026-10-12",
  "method": "Independent mathematical/text-processing models, not Apple Numbers or Zoho Sheet execution; random tests check documented bounds/transforms, not randomness.",
  "official_function_reference": "https://support.apple.com/guide/functions/sec-af1ccaacd7/15.4/web/1.0",
  "passed": 13,
  "total": 13,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B2))",
      "variables": {
        "B2": -180
      },
      "expected": -1.0,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B3))",
      "variables": {
        "B3": -150
      },
      "expected": -1.154701,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B4))",
      "variables": {
        "B4": -120
      },
      "expected": -2.0,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B5))",
      "variables": {
        "B5": -60
      },
      "expected": 2.0,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B6))",
      "variables": {
        "B6": -45
      },
      "expected": 1.414214,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B7))",
      "variables": {
        "B7": -30
      },
      "expected": 1.154701,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B8))",
      "variables": {
        "B8": 0
      },
      "expected": 1.0,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B9))",
      "variables": {
        "B9": 30
      },
      "expected": 1.154701,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B10))",
      "variables": {
        "B10": 45
      },
      "expected": 1.414214,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B11))",
      "variables": {
        "B11": 60
      },
      "expected": 2.0,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B12))",
      "variables": {
        "B12": 120
      },
      "expected": -2.0,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B13))",
      "variables": {
        "B13": 150
      },
      "expected": -1.154701,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B14))",
      "variables": {
        "B14": 180
      },
      "expected": -1.0,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    }
  ],
  "independent_results": [
    {
      "case": 304,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B2))",
      "actual_independent_model": -1.0,
      "expected": -1.0,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 305,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B3))",
      "actual_independent_model": -1.1547005383792515,
      "expected": -1.154701,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 306,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B4))",
      "actual_independent_model": -2.000000000000001,
      "expected": -2.0,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 307,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B5))",
      "actual_independent_model": 1.9999999999999996,
      "expected": 2.0,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 308,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B6))",
      "actual_independent_model": 1.414213562373095,
      "expected": 1.414214,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 309,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B7))",
      "actual_independent_model": 1.1547005383792515,
      "expected": 1.154701,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 310,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B8))",
      "actual_independent_model": 1.0,
      "expected": 1.0,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 311,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B9))",
      "actual_independent_model": 1.1547005383792515,
      "expected": 1.154701,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 312,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B10))",
      "actual_independent_model": 1.414213562373095,
      "expected": 1.414214,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 313,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B11))",
      "actual_independent_model": 1.9999999999999996,
      "expected": 2.0,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 314,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B12))",
      "actual_independent_model": -2.000000000000001,
      "expected": -2.0,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 315,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B13))",
      "actual_independent_model": -1.1547005383792515,
      "expected": -1.154701,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 316,
      "software": "apple-numbers",
      "function": "SEC",
      "expression": "=SEC(RADIANS(B14))",
      "actual_independent_model": -1.0,
      "expected": -1.0,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    }
  ]
}