{
  "software": "apple-numbers",
  "function": "SECH",
  "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/sech-fb0d131b37/15.4/web/1.0",
  "passed": 7,
  "total": 7,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B2)",
      "variables": {
        "B2": -5
      },
      "expected": 0.013475,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B3)",
      "variables": {
        "B3": -2
      },
      "expected": 0.265802,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B4)",
      "variables": {
        "B4": -1
      },
      "expected": 0.648054,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B5)",
      "variables": {
        "B5": 0
      },
      "expected": 1.0,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B6)",
      "variables": {
        "B6": 1
      },
      "expected": 0.648054,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B7)",
      "variables": {
        "B7": 2
      },
      "expected": 0.265802,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B8)",
      "variables": {
        "B8": 5
      },
      "expected": 0.013475,
      "numeric": true,
      "scope": "recovered worksheet, six-decimal expected display"
    }
  ],
  "independent_results": [
    {
      "case": 317,
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B2)",
      "actual_independent_model": 0.013475282221304556,
      "expected": 0.013475,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 318,
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B3)",
      "actual_independent_model": 0.2658022288340797,
      "expected": 0.265802,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 319,
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B4)",
      "actual_independent_model": 0.6480542736638855,
      "expected": 0.648054,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 320,
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B5)",
      "actual_independent_model": 1.0,
      "expected": 1.0,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 321,
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B6)",
      "actual_independent_model": 0.6480542736638855,
      "expected": 0.648054,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 322,
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B7)",
      "actual_independent_model": 0.2658022288340797,
      "expected": 0.265802,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    },
    {
      "case": 323,
      "software": "apple-numbers",
      "function": "SECH",
      "expression": "=SECH(B8)",
      "actual_independent_model": 0.013475282221304556,
      "expected": 0.013475,
      "passed": true,
      "scope": "recovered worksheet, six-decimal expected display"
    }
  ]
}