Sine

English

Sine function

Etymology

Borrowed from Template:Bor, a translation of Template:Der, a misidentification of the notation Template:M, written without vowel diacritics, standing for Template:Der, in turn from Template:Der through the similar Template:Der. Template:Doublet.

Pronunciation

• Template:EnPR, Template:IPA
• Template:Audio
• Template:Audio
• Template:Homophones
• Template:Rhymes

Noun

1. Template:Lb In a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse. Template:Topics

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
  
       $\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n-1}}{(2n-1)!}{x}^{2n-1}=x-\frac{1}{6}{x}^3+\frac{1}{120}{x}^5-\frac{1}{5040}{x}^7+...$
  
  where x is in radians.

Synonyms

• Symbol: sin

Coordinate terms

• Template:L
• Template:L
• Template:L
• Template:L
• Template:L
• Template:L

Translations

• Afrikaans: Template:T, Template:T
• Albanian: Template:T+
• Arabic: Template:T+
• Armenian: Template:T+
• Azerbaijani: Template:T+
• Basque: Template:T
• Bulgarian: Template:T+
• Burmese: Template:T+
• Catalan: Template:T+
• Cebuano: Template:T
• Chinese:

  Cantonese: Template:T

  Mandarin: Template:T+

• Czech: Template:T+
• Danish: Template:T
• Dutch: Template:T+
• Esperanto: Template:T
• Finnish: Template:T+
• French: Template:T+
• Galician: Template:T
• Georgian: Template:T-needed
• German: Template:T+
• Greek: Template:T+
• Gujarati: Template:T
• Hebrew: Template:T+
• Hindi: Template:T+
• Hungarian: Template:T+
• Icelandic: Template:T
• Ido: Template:T+
• Indonesian: Template:T+
• Irish: Template:T
• Italian: Template:T+
• Japanese: Template:T+, Template:T+
• Khmer: Template:T
• Korean: Template:T+, Template:T
• Macedonian: Template:T
• Malay: Template:T
• Manx: Template:T
• Norwegian: Template:T+
• Ottoman Turkish: Template:T
• Persian: Template:T+, Template:T+
• Polish: Template:T+
• Portuguese: Template:T+
• Romanian: Template:T+
• Russian: Template:T+
• Serbo-Croatian: Template:T+
• Slovak: Template:T
• Slovene: Template:T+
• Spanish: Template:T+
• Swedish: Template:T+
• Tagalog: Template:T
• Tamil: Template:T
• Thai: Template:T+
• Ukrainian: Template:T+
• Vietnamese: Template:T+

Anagrams

• Template:Anagrams

Ainu

Pronunciation

• Template:IPA

Numeral

1. one

Bikol Central

Etymology

Template:Bor+, from a Template:Clipping, a reduction of Template:Der, from Template:Der.

Pronunciation

• Template:Hyph
• Template:Bcl-IPA

Noun

1. cinema
2. movie, show

   Template:Syn

Cebuano

Etymology

Template:Bor+, from Template:Clipping, a reduction of Template:Der, from Template:Der.

Pronunciation

• Template:Hyph

Noun

1. film; movie
2. Template:Lb cinema; movie theater

Quotations

• Template:SeeCites

Danish

Pronunciation

• Template:IPA

Pronoun

1. Template:Plural of

Finnish

Noun

1. bluing Template:Gl
2. blueprint Template:Gl

Anagrams

• Template:Anagrams

Irish

Pronunciation

• Template:IPA
• Template:IPA
• Template:Hmp

Etymology 1

From Template:Inh, Template:M, comparative form of Template:M.

Adjective

1. Template:Infl of: older

Etymology 2

From Template:Inh, from Template:Inh, from Template:Der. Cognate with Template:Cog, Template:Cog.

Noun

1. nipple

Derived terms

• Template:L

Further reading

• Template:R:ga:ODonaill

Latin

Pronunciation

• Template:La-IPA

Etymology 1

The function of this preposition was previously done with the use of sē, sēd (see Template:M, Template:M), from Template:Der, thus meaning "by itself", "without". Some still refer the si- in sine to this root, others refer it to Template:Der, whence Template:M. And as sometimes nesi was also written, with -ne being Template:M, sine might literally mean "not this". Compare with Template:M.

Yet others refer sine to Template:Der, itself possibly related to Template:M or more likely a locative of Template:M. Thus cognate with Template:Cog, Template:M, Template:Cog, Template:Cog; compare especially Template:Cog and Template:Cog (Template:Cog), which may reflect the original PIE adverb.

The ablative is from a PIE ablative of separation or a comitative-instrumental analogous to Template:M. Compare Template:M+.

Preposition

1. without

   Template:Ux

   Template:Ux

Descendants

• Template:Desc
• Template:Desc
• Template:Desc
• Template:Desc
  • Template:Desc
• Template:Desctree
• Template:Desctree
• Template:Desctree
• Template:Desc

References

• Template:R:L&S
• Template:R:ine:IEW

Etymology 2

Verb

1. Template:Inflection of

Middle Dutch

Determiner

1. Template:Inflection of

Middle English

Noun

1. Template:Alt form

Neapolitan

Pronunciation

• Template:IPA

Particle

1. yes

Norwegian Bokmål

Etymology

From Template:Inh.

Pronunciation

• Template:IPA

Determiner

1. Template:Plural of

References

• Template:R:Dokumentasjonsprosjektet

Anagrams

• Template:Anagrams

Norwegian Nynorsk

Etymology

From Template:Inh.

Pronunciation

• Template:IPA Template:Nn-pronu-note

Determiner

1. Template:Plural of

References

• Template:R:The Nynorsk Dictionary

Old English

Pronunciation

• Template:Ang-IPA

Pronoun

1. Template:Infl of

Old French

Noun

1. Template:Alternative form of

Noun

1. Template:Alternative form of

Old Irish

Etymology

From Template:Inh, itself from Template:Der.

Pronunciation

• Template:IPA

Noun

1. nipple, teat

Inflection

Usual declension: Template:Sga-decl-io-masc

A variant dental-stem declension can also be found. Template:Sga-decl-t&d

Descendants

• Template:Desc
• Template:Desc
• Template:Desc
• Template:Desc

Further reading

• Template:R:DIL

Pali

Verb

1. Template:Pi-nr-inflection of

Polish

Adjective

1. Template:Inflection of

Romanian

Etymology

Template:Inh+, as with Template:M, Template:M.

Pronunciation

• Template:IPA
• Template:Rhymes

Pronoun

1. Template:Lb himself, herself, itself, themselves

   Template:Syn

Scottish Gaelic

Pronunciation

• Template:IPA

Etymology 1

From Template:Inh, from Template:Inh, from Template:Der. Cognate with Template:Cog, Template:Cog.

Noun

1. Template:Lb nipple, teat

Etymology 2

Borrowed from Template:Bor.

Noun

1. gin Template:Gloss

Etymology 3

From Template:Inh, from Template:M.

Noun

1. oldness
2. old age

Etymology 4

Adjective

1. Template:Inflection of

References

• Template:R:Dwelly
• Template:R:DIL
• Template:R:DIL
• Template:R:DIL

Serbo-Croatian

Noun

1. Template:Infl of

Tagalog

Alternative forms

• Template:Alt

Etymology

Template:Bor+, from a Template:Clipping, a reduction of Template:M, from Template:Der.

Noun

1. film; movie

   Template:Syn

2. Template:Lb cinema; movie theater

   Template:Syn

Derived terms

• Template:L

Further reading

• Template:R:Pambansang Diksiyonaryo