Definify.com

Webster 1913 Edition

Sine

Noun.

[LL.

sinus

a sine, L.

sinus

bosom, used in translating the Ar.

jaib

, properly, bosom, but probably read by mistake (the consonants being the same) for an original

jība

sine, from Skr.

jīva

bowstring, chord of an arc, sine.]

(Trig.)

(a)

The length of a perpendicular drawn from one extremity of an arc of a circle to the diameter drawn through the other extremity.

(b)

The perpendicular itself. See

Sine of angle

, below.

Artificial sines

logarithms of the natural sines, or logarithmic sines.

–

Curve of sines

See

Sinusoid

–

Natural sines

the decimals expressing the values of the sines, the radius being unity.

–

Sine of an angle

in a circle whose radius is unity, the sine of the arc that measures the angle; in a right-angled triangle, the side opposite the given angle divided by the hypotenuse. See

Trigonometrical function

, under

Function

–

Versed sine

that part of the diameter between the sine and the arc.

‖

Si′ne

rep.

[L.]

Without.

Webster 1828 Edition

Sine

SINE

Noun.

[L. sinus.] In geometry, the right sine of an arch or arc, is a line drawn from one end of that arch perpendicular to the radius drawn through the other end, and is always equal to half the chord of double the arch.

Definition 2024

Sine

See also: sine, sìne, Síne, Sìne, and -sine

Danish

Proper noun

Sine

A female given name, short for Hansine, Jensine or Nielsine, or a variant of Signe.

Turkish

Proper noun

Sine

A female given name

sine

See also: Sine, Síne, Sìne, and sìne

English

Sine function

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 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

Translations

trigonometric function

Afrikaans: sinus, sinusse
Arabic: جَيْب (ar) m ‎(jayb)
Armenian: սինուս (hy) ‎(sinus)
Basque: sinu
Catalan: sinus (ca) m
Cebuano: lidpa
Chinese:

Cantonese: 正弦 ‎(zing³ jin⁴)

Mandarin: 正弦 (zh) ‎(zhèngxián)
Czech: sinus (cs) m
Danish: sinus
Dutch: sinus (nl) m
Esperanto: sinuso
Finnish: sini (fi)
French: sinus (fr) m
Galician: seno m
German: Sinus (de) m
Greek: ημίτονο (el) n ‎(imítono)

Gujarati: જ્યા f ‎(jyā)
Hungarian: szinusz
Icelandic: sínus m
Ido: sinuso (io)
Italian: seno (it) m
Japanese: サイン (ja) ‎(sain), 正弦 (ja) ‎(seigen)
Macedonian: синус m ‎(sinus)
Malay: sinus
Manx: sheenys m
Norwegian: sinus (no) m
Polish: sinus (pl) m
Portuguese: seno (pt) m
Romanian: sinus (ro) n
Russian: си́нус (ru) m ‎(sínus)
Serbo-Croatian: sinus (sh)
Spanish: seno (es) m
Swedish: sinus (sv)
Tagalog: sinway
Tamil: செவ்வளை ‎(cevvaḷai)

Anagrams

sien

Danish

Pronunciation

IPA^(key): /siːnə/, [ˈsiːnə], [ˌsiːnə]

Pronoun

sine

plural of sin

Number	Person	Inflection	Nominative	Accusative	Possessive	Reflexive
Singular	First	common	jeg	mig	min
neuter	mit
plural	mine
Second	common	du	dig	din
neuter	dit
plural	dine
formal	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
formal	De	Dem	Deres
Third	–	de	dem	deres	sig

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

Inflection of sine (Kotus type 48/hame, no gradation)
nominative		sine	sineet
genitive		sineen	sineiden sineitten
partitive		sinetta	sineita
illative		sineeseen	sineisiin sineihin
		singular	plural
nominative		sine	sineet
accusative	nom.	sine	sineet
accusative	gen.	sineen	sineet
genitive		sineen	sineiden sineitten
partitive		sinetta	sineita
inessive		sineessa	sineissa
elative		sineesta	sineista
illative		sineeseen	sineisiin sineihin
adessive		sineella	sineilla
ablative		sineelta	sineilta
allative		sineelle	sineille
essive		sineena	sineina
translative		sineeksi	sineiksi
instructive		—	sinein
abessive		sineetta	sineitta
comitative		—	sineineen

Irish

Pronunciation

IPA^(key): /ˈʃinʲə/

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 *sɸenyos, from Proto-Indo-European *pstḗn. Cognate with Old Norse speni ‎(“teat”), English spean ‎(“teat (of a cow)”).

Noun

sine f ‎(genitive singular sine, nominative plural siní)

nipple

Declension

Declension of sine

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.

References

"sine" in Foclóir Gaeilge-Béarla, An Gúm, 1977, by Niall Ó Dónaill.
“1 sine” in Dictionary of the Irish Language, Royal Irish Academy, 1913–76.
“3 sine” in Dictionary of the Irish Language, Royal Irish Academy, 1913–76.

Latin

Pronunciation

(Classical) IPA^(key): /ˈsi.ne/, [ˈsɪ.nɛ]
(Ecclesiastical) IPA^(key): /ˈsi.ne/, [ˈsiː.ne]

Etymology 1

Possibly from Proto-Indo-European *sene-, *sane- ‎(“apart, without”). Cognate with Old English sundor ‎(“apart, separately, by oneself”). More at sunder. Alternatively from Proto-Indo-European *só ‎(“this, that”) + ne, as nesi was also sometimes written.

Preposition

sine

(with ablative) without
Sum sine regno.‎
I am without a kingdom.

Derived terms

Terms derived from sine

decessit sine parole
injuria sine damno
sine causā

sine diē
sine nōmine

sine prōle
sum sine regno

Descendants

Catalan: sense
Franco-Provençal: sen
French: sans
Galician: sen

Italian: senza
Norman: sans (Jersey)

Portuguese: sem
Spanish: sin

References

sine in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press

Etymology 2

Verb

sine

second-person singular present active imperative of sinō

Neapolitan

Pronunciation

IPA^(key): /ˈsinɛ/, /ˈsinɐ/

Particle

sine

Norwegian Bokmål

Etymology

From Old Norse sínir.

Pronunciation

IPA^(key): /siːne/

Determiner

sine pl

plural of sin

References

“sin” in The Bokmål Dictionary / The Nynorsk Dictionary.

Norwegian Nynorsk

Etymology

From Old Norse sínir.

Pronunciation

IPA^(key): /siːnә/ (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

Romanian

Etymology

From Latin sē, as with mine, tine.

Pronunciation

IPA^(key): /ˈsi.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)

Scottish Gaelic

Pronunciation

IPA^(key): /ˈʃinə/

Etymology 1

Noun

sine f ‎(genitive singular sine, plural sinean)

(anatomy) nipple, teat

Etymology 2

Borrowing from English gin.

Noun

sine f

gin (drink)

Etymology 3

Adjective

sine

comparative degree of sean