hyperbolic cosine

noun

A hyperbolic function that is the analogue of the cosine function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola, symbolically represented as

“cosh (x)= tfrac 1 2(eˣ+e⁻ˣ).”

Meanings

nounhyperbolic cosine (plural hyperbolic cosines)

plural hyperbolic cosines

  1. mathematicsA hyperbolic function that is the analogue of the cosine function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola, symbolically represented as

    cosh (x)= tfrac 1 2(eˣ+e⁻ˣ).

Synonyms & antonyms

Also see

Translations

Bulgarian хиперболичен косинус
  • хиперболичен косинус (hiperboličen kosinus)hyperbolic function
Chinese Mandarin 雙曲函數 /双曲函数
  • 雙曲函數 /双曲函数 (shuāngqū hánshù)hyperbolic function
Finnish hyperbolinen kosini
  • hyperbolinen kosinihyperbolic function
French cosinus hyperbolique
  • cosinus hyperboliquehyperbolic function
Icelandic breiðbogakósínus
  • breiðbogakósínushyperbolic function
Japanese ハイパボリックコサイン, 双曲余弦
  • ハイパボリックコサイン (haipaborikku kosain)hyperbolic function
  • 双曲余弦 (sōkyoku yogen)hyperbolic function
Polish cosinus hiperboliczny
  • cosinus hiperbolicznyhyperbolic function
Russian гиперболи́ческий ко́синус
  • гиперболи́ческий ко́синус (giperbolíčeskij kósinus)hyperbolic function
Swedish cosinus hyperbolicus
  • cosinus hyperbolicushyperbolic function
Cite this entry
APA

hyperbolic cosine. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/hyperbolic%20cosine

MLA

“hyperbolic cosine.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hyperbolic%20cosine. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “hyperbolic cosine,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/hyperbolic%20cosine.

Source: hyperbolic cosine on Wiktionary, CC BY-SA 4.0.