different between cosine vs cosinusoidal

English

Etymology

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

Pronunciation

• (UK) enPR: k?'s?n, IPA^(key): /?k??.sa?n/
• (US) enPR: k?'s?n, IPA^(key): /?ko?.sa?n/
• Homophone: cosign

Noun

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

Usage notes

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.

Related terms

• arccosine
• sine

Translations

See also

• power series
• secant
• tangent
• trigonometry

Anagrams

• Enciso, Senoic, coines, conies, oscine

Italian

Noun

cosine f

1. plural of cosina

Anagrams

• cenosi, coseni, osceni

Old French

Noun

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

1. (female) cousin

Declension

• see cosin

Descendants

• French: cousine

English

Etymology

co- +? sinusoidal

Adjective

cosinusoidal (not comparable)

1. (mathematics) Having the form of a cosine

Related terms

• sinusoidal

Translations

• Italian: cosinusoidale (it)