{
  "software": "apple-numbers",
  "function": "COSH",
  "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/cosh-ffa5c97cc4/15.4/web/1.0",
  "passed": 9,
  "total": 9,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B2)",
      "variables": {
        "B2": -5
      },
      "expected": 74.20994852478785,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B3)",
      "variables": {
        "B3": -2
      },
      "expected": 3.7621956910836314,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B4)",
      "variables": {
        "B4": -1
      },
      "expected": 1.5430806348152437,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B5)",
      "variables": {
        "B5": -0.5
      },
      "expected": 1.1276259652063807,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B6)",
      "variables": {
        "B6": 0
      },
      "expected": 1.0,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B7)",
      "variables": {
        "B7": 0.5
      },
      "expected": 1.1276259652063807,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B8)",
      "variables": {
        "B8": 1
      },
      "expected": 1.5430806348152437,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B9)",
      "variables": {
        "B9": 2
      },
      "expected": 3.7621956910836314,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B10)",
      "variables": {
        "B10": 5
      },
      "expected": 74.20994852478785,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 102,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B2)",
      "actual_independent_model": 74.20994852478785,
      "expected": 74.20994852478785,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 103,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B3)",
      "actual_independent_model": 3.7621956910836314,
      "expected": 3.7621956910836314,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 104,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B4)",
      "actual_independent_model": 1.5430806348152437,
      "expected": 1.5430806348152437,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 105,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B5)",
      "actual_independent_model": 1.1276259652063807,
      "expected": 1.1276259652063807,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 106,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B6)",
      "actual_independent_model": 1.0,
      "expected": 1.0,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 107,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B7)",
      "actual_independent_model": 1.1276259652063807,
      "expected": 1.1276259652063807,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 108,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B8)",
      "actual_independent_model": 1.5430806348152437,
      "expected": 1.5430806348152437,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 109,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B9)",
      "actual_independent_model": 3.7621956910836314,
      "expected": 3.7621956910836314,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 110,
      "software": "apple-numbers",
      "function": "COSH",
      "expression": "=COSH(B10)",
      "actual_independent_model": 74.20994852478785,
      "expected": 74.20994852478785,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}