![]() ![]() Així, les funcions hiperbòliques prenen valors reals per a un argument real, a vegades anomenat angle hiperbòlic. De la mateixa manera que els punts (cost,sint) formen una circumferència de radi 1, els punts (cosht,sinht) formen la meitat dreta de la hipèrbola equilàtera. Així, la funció inversa del cosinus hiperbòlic es representa per argcosh (o arcosh, o acosh) anàlogament les altres. Les funcions hiperbòliques, en un domini apropiat, tenen unes funcions inverses que es representen amb una notació similar, amb el prefix arg- (per argument), o prefixos més breus, com ar- (per àrea), o fins i tot a. Els seus símbols s'obtenen sufixant una h als símbols de les funcions trigonomètriques corresponents. Les funcions hiperbòliques bàsiques són el cosinus hiperbòlic (simbolitzat per cosh) i el sinus hiperbòlic (sinh), de les quals deriven la tangent hiperbòlica (tanh) i les altres, secant hiperbòlica (sech), cosecant hiperbòlica (csch) i cotangent hiperbòlica (coth), de la mateixa manera que a partir del cosinus (cos) i el sinus (sin) deriven les altres funcions trigonomètriques (tan, sec, csc i cot). ![]() En matemàtiques, les funcions hiperbòliques són unes funcions amb unes propietats anàlogues a les de les funcions trigonomètriques (o circulars). ![]()
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