different between trigonometry vs sine
trigonometry
English
Etymology
From 1610s, from New Latin trig?nometria, from Ancient Greek ???????? (tríg?non, “triangle”) + ?????? (métron, “measure”).
Pronunciation
- IPA(key): /?t?????n?m?t?i/
Noun
trigonometry (countable and uncountable, plural trigonometries)
- (geometry, mathematical analysis) The branch of mathematics that deals with the relationships between the sides and angles of (in particular) right-angled triangles, as represented by the trigonometric functions, and with calculations based on said relationships.
- 1892, Edward Albert Bowser, A Treatise on Plane and Spherical Trigonometry, D. C. Heath & Co., page 1,
- Trigonometry was originally the science which treated only of the sides and angles of plane and spherical triangles; but it has been recently extended so as to include the analytic treatment of all theorems involving the consideration of angular magnitudes.
- 2013, Paul Abbott, Hugh Neill, Trigonometry: A Complete Introduction, Hachette, unnumbered page,
- In fact, the earliest practical uses of trigonometry were in the fields of astronomy and hence navigation.
- 2016, Carl F. Lorenzo, Tom T. Hartley, The Fractional Trigonometry, Wiley, page 8,
- The properties of these new trigonometries and identities flowing from the definitions are then developed.
- The trigonometries derived from these generalizations will be jointly termed "The Fractional Trigonometry."
- 1892, Edward Albert Bowser, A Treatise on Plane and Spherical Trigonometry, D. C. Heath & Co., page 1,
Synonyms
- (branch of mathematics): trig (informal, abbreviation)
Derived terms
- plane trigonometry
- spherical trigonometry
Related terms
- geometry
- trigon
- trigonometric
- trigonometrist
Translations
Further reading
- Trigonometric functions on Wikipedia.Wikipedia
- Trigonometric tables on Wikipedia.Wikipedia
- Pythagorean trigonometric identity on Wikipedia.Wikipedia
- List of trigonometric identities on Wikipedia.Wikipedia
References
trigonometry From the web:
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- what trigonometry stands for
sine
English
Etymology
Borrowed from Latin sinus (“curve, bend; bosom”), a translation of Arabic ?????? (jayb, “bosom”), a misidentification of the notation ??? (jyb), written without vowel diacritics, standing for Arabic ?????? (j?ba, “sine”), in turn from Sanskrit ???? (jy?, “sine, chord, bowstring”) through the similar Sanskrit ??? (j?va, “sine, chord, life, existence”). Doublet of sinus.
Pronunciation
- enPR: s?n, IPA(key): /sa?n/
- Homophones: sign, syne
- Rhymes: -a?n
Noun
sine (plural sines)
- (trigonometry, mathematics) In a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse.
Usage notes
In various branches of mathematics, the sine of an angle is determined in various ways, including the following:
- The y-coordinate of the point on the unit circle at the given anticlockwise angle from the positive x-axis.
- The sum of the real or complex power series
where x is in radians.
Synonyms
- Symbol: sin
Derived terms
Related terms
Translations
See also
- cosine
- cosecant
- cotangent
- secant
- tangent
- trigonometry
Anagrams
- EINs, NIEs, Nies, sein, sien, snie
Ainu
Pronunciation
- IPA(key): /?ì?né/
Numeral
sine (Kana spelling ??)
- one
Cebuano
Etymology
Apocope of English cinema, from French cinéma, shortening of cinématographe (term coined by the Lumière brothers in the 1890s), from the Ancient Greek ?????? (kín?ma, “movement”) + the French suffix -graphe.
Pronunciation
- Hyphenation: si?ne
Noun
sine
- (dated) a cinema; a movie theater
- a movie; a film
Quotations
For quotations using this term, see Citations:sine.
Derived terms
- sinehan
Danish
Pronunciation
- IPA(key): /si?n?/, [?si?n?], [?si?n?]
Pronoun
sine
- plural of sin
See also
Finnish
(index si)
Etymology
sini +? -e
Noun
sine
- bluing (blue pigment used for coloring clothes when washing)
- blueprint (paper-based reproduction usually of a technical drawing), diazo print, ammonia print
Declension
Anagrams
- -isen, ensi, ensi-, ines, sein
Irish
Pronunciation
- IPA(key): /??in??/
Etymology 1
From Old Irish sine, siniu, comparative form of sen (“old”).
Adjective
sine
- comparative degree of sean: older
Etymology 2
From Old Irish sine (“teat, dug, pap”), from Proto-Celtic *s?enyos, from Proto-Indo-European *pst?n. Cognate with Old Norse speni (“teat”), English spean (“teat (of a cow)”).
Noun
sine f (genitive singular sine, nominative plural siní)
- nipple
Declension
Derived terms
- sine siain (“uvula”)
Mutation
References
- "sine" in Foclóir Gaeilge–Béarla, An Gúm, 1977, by Niall Ó Dónaill.
- Gregory Toner, Maire Ní Mhaonaigh, Sharon Arbuthnot, Dagmar Wodtko, Maire-Luise Theuerkauf, editors (2019) , “1 sine”, in eDIL: Electronic Dictionary of the Irish Language
- Gregory Toner, Maire Ní Mhaonaigh, Sharon Arbuthnot, Dagmar Wodtko, Maire-Luise Theuerkauf, editors (2019) , “3 sine”, in eDIL: Electronic Dictionary of the Irish Language
Latin
Pronunciation
- (Classical) IPA(key): /?si.ne/, [?s??n?]
- (Ecclesiastical) IPA(key): /?si.ne/, [?si?n?]
Etymology 1
The function of this preposition was previously done with the use of s?, s?d (see s?-, sed), from Proto-Indo-European *swé (“self”), thus meaning "by itself", "without". Some still refer the si- in sine to this root, others refer it to Proto-Indo-European *só (“this”), whence si (“if”). And as sometimes nesi was also written, with -ne being n? (“not”), sine might literally mean "not this". Compare with nisi.
Others yet refer sine to Proto-Indo-European *seni (“for oneself, without”), itself maybe related to *swé or a locative of *senH-. Thus cognate with Ancient Greek ???? (áter, “without”), Old English sundor.
Preposition
sine (+ ablative)
- without
Derived terms
Descendants
References
- sine in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
- Pokorny, Julius (1959) Indogermanisches etymologisches Wörterbuch [Indo-European Etymological Dictionary] (in German), volume III, Bern, München: Francke Verlag, page 907
Etymology 2
Verb
sine
- second-person singular present active imperative of sin?
Middle Dutch
Determiner
sine
- inflection of sijn:
- feminine nominative/accusative singular
- nominative/accusative plural
Neapolitan
Pronunciation
- IPA(key): /?sin?/, /?sin?/
Particle
sine
- yes
Norwegian Bokmål
Etymology
From Old Norse sínir.
Pronunciation
- IPA(key): /si?ne/
Determiner
sine pl
- plural of sin
References
- “sin” in The Bokmål Dictionary / The Nynorsk Dictionary.
See also
Norwegian Nynorsk
Etymology
From Old Norse sínir.
Pronunciation
- IPA(key): /²si?n?/ (example of pronunciation)
Determiner
sine pl
- plural of sin
References
- “sin” in The Nynorsk Dictionary.
Old French
Noun
sine m (oblique plural sines, nominative singular sines, nominative plural sine)
- Alternative form of cisne
Noun
sine m (oblique plural sines, nominative singular sines, nominative plural sine)
- Alternative form of signe
Old Irish
Etymology
From Proto-Celtic *s?enyos, itself from Proto-Indo-European *pst?n.
Pronunciation
IPA(key): /s?i.n?e/
Noun
sine m
- nipple, teat
Inflection
Usual declension:
A variant dental-stem declension can also be found.
Descendants
- Irish: sine
- Manx: sheeiney
- Scottish Gaelic: sine
Mutation
Further reading
- Gregory Toner, Maire Ní Mhaonaigh, Sharon Arbuthnot, Dagmar Wodtko, Maire-Luise Theuerkauf, editors (2019) , “sine”, in eDIL: Electronic Dictionary of the Irish Language
Polish
Pronunciation
- IPA(key): /??i.n?/
Adjective
sine
- inflection of siny:
- neuter nominative/accusative/vocative singular
- nonvirile nominative/accusative/vocative plural
Romanian
Etymology
From Latin s?, as with mine, tine.
Pronunciation
- IPA(key): /?si.ne/
- Rhymes: -ine
Pronoun
sine (stressed reflexive-accusative form of el, ea, ei, and ele)
- (direct object, preceded by preposition, such as "pe", "cu", "la", or "pentru") himself, herself, itself, themselves
Synonyms
- se (unstressed form)
Sardinian
Etymology 1
From Latin sine (“without”).
Pronunciation
- IPA(key): /?sine/
Preposition
sine
- without
- Synonyms: chena, chentza, sentza, sene, chene, chentze, sena
Scottish Gaelic
Pronunciation
- IPA(key): /??in?/
Etymology 1
From Old Irish sine (“teat, dug, pap”), from Proto-Celtic *s?enyos, from Proto-Indo-European *pst?n. Cognate with Old Norse speni (“teat”), English spean (“teat (of a cow)”).
Noun
sine f (genitive singular sine, plural sinean)
- (anatomy) nipple, teat
Etymology 2
Borrowed from English gin.
Noun
sine f
- gin (drink)
Etymology 3
From Old Irish sine (“old age, seniority, antiquity”), from sen (“old”).
Noun
sine f
- oldness
- old age
Etymology 4
See the etymology of the main entry.
Adjective
sine
- comparative degree of sean (“old”)
Mutation
References
- “sine” in Edward Dwelly, Faclair Gàidhlig gu Beurla le Dealbhan/The Illustrated [Scottish] Gaelic–English Dictionary, 10th edition, Edinburgh: Birlinn Limited, 1911, ?ISBN.
- Gregory Toner, Maire Ní Mhaonaigh, Sharon Arbuthnot, Dagmar Wodtko, Maire-Luise Theuerkauf, editors (2019) , “1 sine”, in eDIL: Electronic Dictionary of the Irish Language
- Gregory Toner, Maire Ní Mhaonaigh, Sharon Arbuthnot, Dagmar Wodtko, Maire-Luise Theuerkauf, editors (2019) , “2 sine”, in eDIL: Electronic Dictionary of the Irish Language
- Gregory Toner, Maire Ní Mhaonaigh, Sharon Arbuthnot, Dagmar Wodtko, Maire-Luise Theuerkauf, editors (2019) , “3 sine”, in eDIL: Electronic Dictionary of the Irish Language
Westrobothnian
Pronunciation
- (Lövånger) IPA(key): [sì??e?]
- Rhymes: -ì?n?
Pronoun
sine n sg
- (possessive pronoun): dative neuter singular of sänn
Declension
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