sine

See also Sine, Sìne, and sìne

English

Wikipedia

Sine function

Etymology

From Latin sinus, originally by mistranslation of Arabic جب (jubb).

Pronunciation

• enPR: sīn, IPA: /saɪn/, SAMPA: /saIn/
• Homophone: sign
• Rhymes: -aɪn

Noun

sine (plural sines)

1. (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 x-axis.
• The sum of the real or complex power series
  
       $\sum_{n=1}^\infty{{(-1)^{n-1}}\over{(2n-1)!}}x^{2n-1} = x - {1\over 6} x^3 + {1\over 120} x^5 - {1\over 5040} x^7 + ...$
  
  where x is in radians.

Synonyms

• Symbol: sin

Derived terms

• arcsine
• cosine
• sine wave
• sinusoid
• sinusoidal

Translations

trigonometric function

Afrikaans: sinus (af), sinusse (af) Arabic: جيب (ar) (jayb) m. Catalan: sinus (ca) m. Chinese: Mandarin: 正弦 (cmn) (zhèngxián) Czech: sinus (cs) m. Danish: sinus (da) Dutch: sinus (nl) m. Esperanto: sinuso (eo) Finnish: sini (fi) French: sinus (fr) m. German: Sinus (de) m. Greek: ημίτονο (el) (imítono) n.

Hungarian: szinusz (hu) Ido: sinuso (io) Italian: seno (it) m. Japanese: サイン (ja) (sain), 正弦 (ja) (seigen) Macedonian: синус (mk) (sínus) m. Manx: sheenys (gv) m. Norwegian: sinus (no) m. Portuguese: seno (pt) m. Romanian: sinus (ro) n. Russian: синус (ru) (sínus) m. Spanish: seno (es) m. Swedish: sinus (sv) Tamil: செவ்வளை (ta) (sevvaLai)

See also

• cosecant
• cotangent
• secant
• tangent
• trigonometry

Anagrams

• sien

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Danish

Pronunciation

• IPA: /siːnə/, [ˈsiːnə], [ˌsiːnə]

Pronoun

sine

1. plural of sin

See also

Danish personal pronouns

Number	Person	Inflection	Nominative	Accusative	Possessive	Reflexive	Reflexive possessive
Singular	First	common	jeg	mig	min
		neuter			mit
		plural			mine
	Second	common	du	dig	din
		neuter			dit
		plural			dine
		polite form	De	Dem	Deres
	Third	masculine	han	ham	hans	sig	sin
		feminine	hun	hende	hendes
		common	den	den	dens
		neuter	det	det	dets		sit
		plural					sine
Plural	First	—	vi	os	vores
		common			vor
		neuter			vort
		plural			vore
	Second	–	I	jer	jeres
		polite form	De	Dem	Deres
	Third	–	de	dem	deres	sig

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Irish

Pronunciation

• IPA: /ˈʃinʲə/

Etymology 1

From Old Irish sine, siniu, comparative form of sen (“old”).

Adjective

sine

1. comparative form of sean: older

Declension

Declension of sean

First Declension Positive Singular Plural (m/f) masc. fem (strong noun) (weak noun) Nominative sean seana Vocative sean sean seana Genitive sean sine seana sean Dative sean seana Comparative/Superlative sine

Etymology 2

From Old Irish sine (“teat, dug, pap”), from Proto-Celtic *svenio for Proto-Indo-European *spenio. Cognate with Old Norse speni (“teat”), Scottish spain (“udder”).

Noun

sine f.

1. nipple

Declension

Fourth declension

Bare forms Case Singular Plural Nominative sine siní Vocative a shine a shiní Genitive sine siní Dative sine siní

Forms with the definite article Case Singular Plural Nominative an tsine na siní Genitive na sine na siní Dative leis an tsine don tsine leis na siní

Mutation

Irish mutation
Radical	Lenition	Eclipsis
sine	shine after "an", tsine	unchanged
Note: Some of these forms may be hypothetical. Not every possible mutated form of every word actually occurs.

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Latin

Etymology

From Proto-Indo-European *sene-, *sane- (“apart, without”). Cognate with Old English sundor (“apart, separately, by oneself”). More at sunder.

Pronunciation

• (Classical) IPA: /ˈsi.ne/

• Audio (Classical)

  (file)

Preposition

sine (+ ablative)

1. without

   Sum sine regno.

   I am without a kingdom.

Derived terms

• sine causā
• sine diē
• sine nōmine
• sine prōle
• decessit sine parole
• sum sine regno
• injuria sine damno

Descendants

Anglo-Norman: senz Catalan: sense French: sans Galician: sen

Italian: senza Portuguese: sem Spanish: sin

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Romanian

Etymology

From Latin sē, as with mine, tine.

Pronoun

sine (stressed reflexive-accusative form of el, ea, ei and ele)

1. himself, herself, itself, themselves

Synonyms

• se (unstressed form)

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Scottish Gaelic

Pronunciation

• IPA: /ˈʃinʲə/

Etymology

From Irish sine (“teat”), from Old Irish sine (“teat, dug, pap”), from Proto-Celtic *svenio for Proto-Indo-European *spenio. Cognate with Old Norse speni (“teat”), Scottish spain (“udder”).

Adjective

sine

1. Comparative and superlative form of sean

Noun

sine f. (genitive sine, plural sinean)

1. nipple, teat
2. gin (drink)