"coversed sine" meaning in English

See coversed sine in All languages combined, or Wiktionary

Noun

Forms: coversed sines [plural]
Etymology: From contraction of complement + versed sine. Head templates: {{en-noun}} coversed sine (plural coversed sines)
  1. (trigonometry) The trigonometric function 1 − sin(x). Categories (topical): Trigonometric functions, Trigonometry Synonyms: coversine, coversin Derived forms: hacoversed sine Related terms: versed sine Translations (function): koversini (Finnish), Kosinus versus (German), Koversinus (German), coseno verso [masculine] (Spanish)

Inflected forms

{
  "etymology_text": "From contraction of complement + versed sine.",
  "forms": [
    {
      "form": "coversed sines",
      "tags": [
        "plural"
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      "expansion": "coversed sine (plural coversed sines)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "kind": "topical",
          "langcode": "en",
          "name": "Trigonometric functions",
          "orig": "en:Trigonometric functions",
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          "name": "Trigonometry",
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        }
      ],
      "derived": [
        {
          "word": "hacoversed sine"
        }
      ],
      "examples": [
        {
          "ref": "1825, Jas Thomson, Elements of Plane and Spherical Trigonometry, page 2:",
          "text": "The cosine of an arc is the sine of its complement.† In like manner, the coversed sine, cotangent, and cosecant of an arc, are respectively the versed sine, tangent, and secant of its complement.",
          "type": "quote"
        },
        {
          "ref": "1830, W. Hopkins, “Book II: Elements of Trigonometry”, in Geometry, Plane, Solid, and Spherical, page 46:",
          "text": "At the top of the page on the left-hand side is placed the number of degrees, and in the left-hand column each minute of the degree, opposite to which are arranged the numerical values of the sine, coversed sine, &c, of the corresponding angle in those columns, at the top of which those terms are placed.",
          "type": "quote"
        },
        {
          "ref": "1838, William Grier, The Mechanic′s Pocket Dictionary, page 21:",
          "text": "For the coversed sine; subtract the sine of the angle from 1. Thus, for the same angle we have the coversed sine,\n1 — ·36650 = ·6335.",
          "type": "quote"
        },
        {
          "ref": "1871, Homersham Cox, The Law and Science of Ancient Lights, 2nd edition, page 109:",
          "text": "Hence the cosines and versed sines of zenith distances are respectively equal to the sines and coversed sines of the corresponding angular elevations.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The trigonometric function 1 − sin(x)."
      ],
      "id": "en-coversed_sine-en-noun-QVlogvpX",
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      "raw_glosses": [
        "(trigonometry) The trigonometric function 1 − sin(x)."
      ],
      "related": [
        {
          "word": "versed sine"
        }
      ],
      "synonyms": [
        {
          "word": "coversine"
        },
        {
          "word": "coversin"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "trigonometry"
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "function",
          "word": "koversini"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "function",
          "word": "Kosinus versus"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "function",
          "word": "Koversinus"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "function",
          "tags": [
            "masculine"
          ],
          "word": "coseno verso"
        }
      ]
    }
  ],
  "word": "coversed sine"
}
{
  "derived": [
    {
      "word": "hacoversed sine"
    }
  ],
  "etymology_text": "From contraction of complement + versed sine.",
  "forms": [
    {
      "form": "coversed sines",
      "tags": [
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  "related": [
    {
      "word": "versed sine"
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      "examples": [
        {
          "ref": "1825, Jas Thomson, Elements of Plane and Spherical Trigonometry, page 2:",
          "text": "The cosine of an arc is the sine of its complement.† In like manner, the coversed sine, cotangent, and cosecant of an arc, are respectively the versed sine, tangent, and secant of its complement.",
          "type": "quote"
        },
        {
          "ref": "1830, W. Hopkins, “Book II: Elements of Trigonometry”, in Geometry, Plane, Solid, and Spherical, page 46:",
          "text": "At the top of the page on the left-hand side is placed the number of degrees, and in the left-hand column each minute of the degree, opposite to which are arranged the numerical values of the sine, coversed sine, &c, of the corresponding angle in those columns, at the top of which those terms are placed.",
          "type": "quote"
        },
        {
          "ref": "1838, William Grier, The Mechanic′s Pocket Dictionary, page 21:",
          "text": "For the coversed sine; subtract the sine of the angle from 1. Thus, for the same angle we have the coversed sine,\n1 — ·36650 = ·6335.",
          "type": "quote"
        },
        {
          "ref": "1871, Homersham Cox, The Law and Science of Ancient Lights, 2nd edition, page 109:",
          "text": "Hence the cosines and versed sines of zenith distances are respectively equal to the sines and coversed sines of the corresponding angular elevations.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The trigonometric function 1 − sin(x)."
      ],
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        "(trigonometry) The trigonometric function 1 − sin(x)."
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  "synonyms": [
    {
      "word": "coversine"
    },
    {
      "word": "coversin"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "function",
      "word": "koversini"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "function",
      "word": "Kosinus versus"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "function",
      "word": "Koversinus"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "function",
      "tags": [
        "masculine"
      ],
      "word": "coseno verso"
    }
  ],
  "word": "coversed sine"
}

Download raw JSONL data for coversed sine meaning in English (2.8kB)

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  "path": [
    "coversed sine"
  ],
  "section": "English",
  "subsection": "noun",
  "title": "coversed sine",
  "trace": ""
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-22 from the enwiktionary dump dated 2025-02-02 using wiktextract (9e2b7d3 and f2e72e5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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