{
  "software": "apple-numbers",
  "function": "ATAN",
  "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/atan-ffa5c9dfb9/15.4/web/1.0",
  "passed": 8,
  "total": 8,
  "cases": [
    {
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B2))",
      "variables": {
        "B2": -2
      },
      "expected": -63.43494882292201,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B3))",
      "variables": {
        "B3": -1
      },
      "expected": -45.0,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B4))",
      "variables": {
        "B4": -0.5
      },
      "expected": -26.56505117707799,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B5))",
      "variables": {
        "B5": 0
      },
      "expected": 0.0,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B6))",
      "variables": {
        "B6": 0.5
      },
      "expected": 26.56505117707799,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B7))",
      "variables": {
        "B7": 1
      },
      "expected": 45.0,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B8))",
      "variables": {
        "B8": 2
      },
      "expected": 63.43494882292201,
      "numeric": true,
      "scope": "recovered worked example"
    },
    {
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B9))",
      "variables": {
        "B9": 10
      },
      "expected": 84.28940686250037,
      "numeric": true,
      "scope": "recovered worked example"
    }
  ],
  "independent_results": [
    {
      "case": 45,
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B2))",
      "actual_independent_model": -63.43494882292201,
      "expected": -63.43494882292201,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 46,
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B3))",
      "actual_independent_model": -45.0,
      "expected": -45.0,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 47,
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B4))",
      "actual_independent_model": -26.56505117707799,
      "expected": -26.56505117707799,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 48,
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B5))",
      "actual_independent_model": 0.0,
      "expected": 0.0,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 49,
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B6))",
      "actual_independent_model": 26.56505117707799,
      "expected": 26.56505117707799,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 50,
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B7))",
      "actual_independent_model": 45.0,
      "expected": 45.0,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 51,
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B8))",
      "actual_independent_model": 63.43494882292201,
      "expected": 63.43494882292201,
      "passed": true,
      "scope": "recovered worked example"
    },
    {
      "case": 52,
      "software": "apple-numbers",
      "function": "ATAN",
      "expression": "=DEGREES(ATAN(B9))",
      "actual_independent_model": 84.28940686250037,
      "expected": 84.28940686250037,
      "passed": true,
      "scope": "recovered worked example"
    }
  ]
}