cosine

From co- +‎ sine, short for complementi sinus in Latin, meaning “sine of the complement”. Doublet of cosinus.

• (UK) IPA^(key): /ˈkəʊ.saɪn/
• (US) IPA^(key): /ˈkoʊ.saɪn/

  • Audio (US):

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• (General Australian) IPA^(key): /ˈkəʉ.sɑɪn/
• Rhymes: -əʊsaɪn, -oʊsaɪn
• Homophone: cosign

cosine (plural cosines)

1. (trigonometry) In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse. Symbol: cos

In various branches of mathematics, the cosine of an angle is determined in various ways, including the following:

• The x-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
  
       ${\displaystyle \sum _{n=0}^{\infty }{\frac {(-1)^{n}x^{2n}}{(2n)!}}=1-{x^{2} \over 2}+{x^{4} \over 24}-{x^{6} \over 720}+{x^{8} \over 40320}-\cdots }$
  
  where x is in radians.

• arccosine
• sine

• Enciso, Inscoe, Senoic, coines, conies, oscine

cosine f

1. plural of cosina

• cenosi, coseni, inceso, nescio, osceni

cosine oblique singular, f (oblique plural cosines, nominative singular cosine, nominative plural cosines)

1. (female) cousin

• see cosin

• French: cousine