cosinus

English

Etymology

Learned borrowing from New Latin cosinus, abbreviation of complementi sinus. Doublet of cosine.

Noun

cosinus (plural cosinus or cosinuses)

1. (trigonometry) Synonym of cosine.
   • 1884, A[lbert] A[ugustin] Fauvel, Chinese Plants in Normandy, Hong Kong: […], page 4, column 1:

     When I came to these very buildings to pass my examination I knew far better the names of all the plants in this garden than the theory of the cubic roots or the long formulæ of the sum of two cosinus.

   • 1884 November 29, “Aerial Navigation”, in Scientific American: A Weekly Journal of Practical Information, Art, Science, Mechanics, Chemistry, and Manufactures, volume LI, number 22, New York, N.Y.: Munn & Co., translation of original by Victor Tatin in La Nature, page 342, column 1:

     So, in the helicopteron, as the helix is at the same time a sustaining plane, it should be likened to a surface moving horizontally, and in which, consequenty, the resistance to motion will be to the lifting power as the sinus is to the cosinus of the angle formed by such plane with the horizon.

   • 1949, Contributions from the Astronomical Institute of the Charles University Prague, page 38:

     And according to our choice of a symmetrical conjunction or opposition, all the cosinuses are reduced to 1, namely to coefficients build up solely by scalar Keplerian elements a, e.

   • 1996, Pentti Zetterberg, Matti Eronen, Markus Lindholm, “Construction of a 7500-Year Tree-Ring Record for Scots Pine (Pinus sylvestris, L.) in Northern Fennoscandia and its Application to Growth Variation and Palaeoclimatic Studies”, in Heinrich Spiecker, Kari Mielikäinen, Michael Köhl, Jens Peter Skovsgaard, editors, Growth Trends in European Forests (European Forest Institute Research Report; No. 5), Springer-Verlag Berlin Heidelberg, →ISBN, page 15:

     The variations are described in terms of cycles of sinuses and cosinuses.

   • 2007, Vladimir G. Ivancevic, Tijana T. Ivancevic, “Introduction: Human and Computational Mind”, in Computational Mind: A Complex Dynamics Perspective (Studies in Computational Intelligence; 60), Springer-Verlag Berlin Heidelberg, →ISBN, →LCCN, section 1 (Natural Intelligence and Human Mind), pages 60–61:

     Basically, the rotation of the matrix of the factor loadings L represents its post-multiplication, i.e. L* = LO by the rotation matrix O, which itself resembles one of the matrices included in the classical rotational Lie groups SO(m) (containing the specific m–fold combination of sinuses and cosinuses.

Catalan

Etymology

From co- +‎ sinus.

Pronunciation

• IPA^(key): (Central, Balearic, Valencia) [ˌkoˈsi.nus]

Noun

cosinus m (invariable)

1. (trigonometry) cosine

Derived terms

• arccosinus

Further reading

• “cosinus” in Diccionari de la llengua catalana, segona edició, Institut d’Estudis Catalans.

Dutch

Etymology

Learned borrowing from New Latin cosinus, abbreviation of complementi sinus.

Pronunciation

• IPA^(key): /ˈkoː.si.nʏs/

• Audio:

  (file)

• Hyphenation: co‧si‧nus

Noun

cosinus m (plural cosinussen)

1. (trigonometry) cosine

Related terms

• sinus

French

Pronunciation

• IPA^(key): /ko.si.nys/

• Audio:

  (file)

Noun

cosinus m (plural cosinus)

1. (trigonometry) cosine (trigonometric function)

See also

• cosécante
• cotangente
• sécante
• sinus
• tangente

Further reading

• “cosinus”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

Anagrams

• cousins
• coussin
• cuisons
• cuisson
• sucions

Norwegian Bokmål

Etymology

Learned borrowing from New Latin cosinus, abbreviation of complementi sinus.

Noun

cosinus m (definite singular cosinusen, indefinite plural cosinuser, definite plural cosinusene)

1. (trigonometry) cosine

Related terms

• sinus

References

• “cosinus” in The Bokmål Dictionary.

Norwegian Nynorsk

Etymology

Learned borrowing from New Latin cosinus, abbreviation of complementi sinus.

Noun

cosinus m (definite singular cosinusen, indefinite plural cosinusar, definite plural cosinusane)

1. (trigonometry) cosine

Related terms

• sinus

References

• “cosinus” in The Nynorsk Dictionary.

Polish

cosinus

Alternative forms

• kosinus

Etymology

Learned borrowing from New Latin cosinus.

Pronunciation

• IPA^(key): /kɔˈsi.nus/

• Audio:

  (file)

• Rhymes: -inus
• Syllabification: co‧si‧nus

Noun

cosinus m inan (related adjective cosinusowy)

1. (trigonometry) cosine, cosinus (in a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse)

   Hypernym: funkcja trygonometryczna

   Coordinate terms: cosecans, cotangens, secans, sinus, tangens

Declension

Declension of cosinus

	singular	plural
nominative	cosinus	cosinusy
genitive	cosinusa/cosinusu	cosinusów
dative	cosinusowi	cosinusom
accusative	cosinus	cosinusy
instrumental	cosinusem	cosinusami
locative	cosinusie	cosinusach
vocative	cosinusie	cosinusy

Related terms

adjective

• cosinusoidalny

 

adverb

• cosinusoidalnie

 

noun

• cosinusoida

 

Further reading

• cosinus in Wielki słownik języka polskiego, Instytut Języka Polskiego PAN
• cosinus in Polish dictionaries at PWN

Romanian

cosinus

Etymology

Borrowed from French cosinus, from New Latin cosinus, abbreviation of complementi sinus.

Noun

cosinus n (plural cosinusuri)

1. (trigonometry) cosine

Declension

	singular			plural
	indefinite	definite		indefinite	definite
nominative-accusative	cosinus	cosinusul		cosinusuri	cosinusurile
genitive-dative	cosinus	cosinusului		cosinusuri	cosinusurilor
vocative	cosinusule			cosinusurilor

Swedish

Noun

cosinus c

1. (trigonometry) cosine

Declension

Declension of cosinus

		nominative	genitive
singular	indefinite	cosinus	cosinus
	definite	cosinusen	cosinusens
plural	indefinite	cosinusar	cosinusars
	definite	cosinusarna	cosinusarnas