In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions. The basic hyperbolic functions are the hyperbolic sine "sinh" ( or ), and the hyperbolic cosine "cosh" , from which are derived the hyperbolic tangent "tanh" , and so on, corresponding to the derived trigonometric functions. The inverse hyperbolic functions are the area hyperbolic sine "arsinh" (also called "asinh" or sometimes "arcsinh") and so on.

Midrash Tanhuma (Hebrew: מדרש תנחומא) is the name given to three different collections of Pentateuch haggadot; two are extant, while the third is known only through citations. These midrashim, although bearing the name of R. Tanḥuma, must not be regarded as having been written or edited by him. They were so named merely because they consist partly of homilies originating with him (this being indicated by the introductory formula "Thus began R. Tanḥuma" or "Thus preached R. Tanḥuma") and partly of homilies by haggadic teachers who followed the style of R. Tanḥuma. It is possible that R. Tanḥuma himself preserved his homilies, and that his collection was used by the editors of the midrash. The three collections were edited at different times; they will, therefore, be treated in chronological order.

Zu den Hyperbelfunktionen gehören:

• Sinus Hyperbolicus
• Kosinus Hyperbolicus
• Tangens Hyperbolicus
• Kotangens Hyperbolicus
• Sekans Hyperbolicus
• Kosekans Hyperbolicus,

abgekürzt durch sinh, cosh, tanh, coth, sech und csch.

Tangens Hyperbolicus und Kotangens Hyperbolicus sind Hyperbelfunktionen. Man nennt sie auch Hyperbeltangens oder hyperbolischen Tangens bzw. Hyperbelkotangens oder hyperbolischen Kotangens.

En mathématiques, on appelle fonctions hyperboliques les fonctions cosinus hyperbolique, sinus hyperbolique et tangente hyperbolique. Les nom de sinus, cosinus et tangente proviennent de leur ressemblance avec les fonctions trigonométriques (ou circulaires) et le terme de hyperbolique provient de leur relation avec l'hyperbole d'équation .

La tangente hyperbolique est, en mathématiques, une fonction hyperbolique.

Inom matematiken är de hyperboliska funktionerna nära besläktade med de trigonometriska funktionerna, vilket bland annat märks i deras namn:

• sinus hyperbolicus (sinh)
• cosinus hyperbolicus (cosh)
• tangens hyperbolicus (tanh)
• secans hyperbolicus (sech)
• cosecans hyperbolicus (csch)
• cotangens hyperbolicus (coth)

Funkcje hiperboliczne –  funkcje zmiennej rzeczywistej lub zespolonej określone następująco:

• sinus hiperboliczny: (oznaczany również sh(x))
• cosinus hiperboliczny: (oznaczany również ch(x))
• tangens hiperboliczny: (oznaczany również th(x))
• cotangens hiperboliczny:
• secans hiperboliczny:
• cosecans hiperboliczny: