"trigonometric identity" meaning in All languages combined

{
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    {
      "form": "trigonometric identities",
      "tags": [
        "plural"
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      "args": {},
      "expansion": "trigonometric identity (plural trigonometric identities)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Sciences",
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            "Fundamental"
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Trigonometry",
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            "Sciences",
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            "Fundamental"
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        }
      ],
      "derived": [
        {
          "word": "Pythagorean trigonometric identity"
        }
      ],
      "examples": [
        {
          "text": "The trigonometric identity sin(2x) = 2sin(x)cos(x).",
          "type": "example"
        }
      ],
      "glosses": [
        "A trigonometric equation that is true for all values of the input variable for which both sides of the equation are defined."
      ],
      "id": "en-trigonometric_identity-en-noun-ygG~CGDc",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "trigonometry",
          "trigonometry"
        ]
      ],
      "raw_glosses": [
        "(mathematics, trigonometry) A trigonometric equation that is true for all values of the input variable for which both sides of the equation are defined."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "trigonometry"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "trigonometrinen identiteetti"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "identité trigonométrique"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "tożsamość trygonometryczna"
        }
      ]
    }
  ],
  "word": "trigonometric identity"
}

{
  "derived": [
    {
      "word": "Pythagorean trigonometric identity"
    }
  ],
  "forms": [
    {
      "form": "trigonometric identities",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "trigonometric identity (plural trigonometric identities)",
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  "lang_code": "en",
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  "senses": [
    {
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        "en:Mathematics",
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      ],
      "examples": [
        {
          "text": "The trigonometric identity sin(2x) = 2sin(x)cos(x).",
          "type": "example"
        }
      ],
      "glosses": [
        "A trigonometric equation that is true for all values of the input variable for which both sides of the equation are defined."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "trigonometry",
          "trigonometry"
        ]
      ],
      "raw_glosses": [
        "(mathematics, trigonometry) A trigonometric equation that is true for all values of the input variable for which both sides of the equation are defined."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "trigonometry"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "trigonometrinen identiteetti"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "identité trigonométrique"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "tożsamość trygonometryczna"
    }
  ],
  "word": "trigonometric identity"
}