"trigonometric identity" meaning in English

{
  "forms": [
    {
      "form": "trigonometric identities",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "trigonometric identity (plural trigonometric identities)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Trigonometry",
          "orig": "en:Trigonometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "trigonometric identity (plural trigonometric identities)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Finnish translations",
        "Terms with French translations",
        "Terms with Polish translations",
        "Translation table header lacks gloss",
        "en:Mathematics",
        "en:Trigonometry"
      ],
      "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"
}