hyperbolic tangent

noun

A hyperbolic function that is the analogue of the tangent 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

“tanh (x)=(sinh (x))/(cosh (x))=(eˣ-e⁻ˣ)/(eˣ+e⁻ˣ).”

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Meanings

nounhyperbolic tangent (plural hyperbolic tangents)

plural hyperbolic tangents

  1. mathematicsA hyperbolic function that is the analogue of the tangent 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

    tanh (x)=(sinh (x))/(cosh (x))=(eˣ-e⁻ˣ)/(eˣ+e⁻ˣ).

Translations

Bulgarian хиперболичен тангенс
  • хиперболичен тангенс (hiperboličen tangens)hyperbolic function
Finnish hyperbolinen tangentti
  • hyperbolinen tangenttihyperbolic function
Icelandic breiðbogatangens
  • breiðbogatangenshyperbolic function
Japanese ハイパボリックタンジェント, 双曲正接
  • ハイパボリックタンジェント (haipaborikku tanjento)hyperbolic function
  • 双曲正接 (sōkyoku seisetsu)hyperbolic function
Polish tangens hiperboliczny
  • tangens hiperbolicznyhyperbolic function
Russian гиперболи́ческий та́нгенс
  • гиперболи́ческий та́нгенс (giperbolíčeskij tángens)hyperbolic function
Swedish tangens hyperbolicus
  • tangens hyperbolicushyperbolic function
Cite this entry
APA

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

MLA

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

Chicago

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

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