{
  "software": "apple-numbers",
  "function": "COT",
  "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/cot-f701b23a74/15.4/web/1.0",
  "passed": 8,
  "total": 8,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B2))",
      "variables": {
        "B2": -120
      },
      "expected": 0.5773502691896255,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B3))",
      "variables": {
        "B3": -60
      },
      "expected": -0.577350269189626,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B4))",
      "variables": {
        "B4": -45
      },
      "expected": -1.0000000000000002,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B5))",
      "variables": {
        "B5": -30
      },
      "expected": -1.7320508075688776,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B6))",
      "variables": {
        "B6": 30
      },
      "expected": 1.7320508075688776,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B7))",
      "variables": {
        "B7": 45
      },
      "expected": 1.0000000000000002,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B8))",
      "variables": {
        "B8": 60
      },
      "expected": 0.577350269189626,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B9))",
      "variables": {
        "B9": 120
      },
      "expected": -0.5773502691896255,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 111,
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B2))",
      "actual_independent_model": 0.5773502691896254,
      "expected": 0.5773502691896255,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 112,
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B3))",
      "actual_independent_model": -0.577350269189626,
      "expected": -0.577350269189626,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 113,
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B4))",
      "actual_independent_model": -1.0000000000000002,
      "expected": -1.0000000000000002,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 114,
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B5))",
      "actual_independent_model": -1.7320508075688774,
      "expected": -1.7320508075688776,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 115,
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B6))",
      "actual_independent_model": 1.7320508075688774,
      "expected": 1.7320508075688776,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 116,
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B7))",
      "actual_independent_model": 1.0000000000000002,
      "expected": 1.0000000000000002,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 117,
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B8))",
      "actual_independent_model": 0.577350269189626,
      "expected": 0.577350269189626,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 118,
      "software": "apple-numbers",
      "function": "COT",
      "expression": "=COT(RADIANS(B9))",
      "actual_independent_model": -0.5773502691896254,
      "expected": -0.5773502691896255,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}