4.9 Complex hyperbolic trigonometric functions
The standard hyperbolic trigonometric functions are supported for complex numbers.
complex
cosh
(complex z)
Return the complex hyperbolic cosine of z,
cosh(z)=exp(z)+exp(−z)2.
Available since 2.28
complex
sinh
(complex z)
Return the complex hyperbolic sine of z,
sinh(z)=exp(z)−exp(−z)2.
Available since 2.28
complex
tanh
(complex z)
Return the complex hyperbolic tangent of z,
tanh(z) = sinh(z)cosh(z) = exp(z)−exp(−z)exp(z)+exp(−z).
Available since 2.28
complex
acosh
(complex z)
Return the complex hyperbolic arc (inverse) cosine of z,
acosh(z)=log(z+√(z+1)(z−1)).
Available since 2.28
complex
asinh
(complex z)
Return the complex hyperbolic arc (inverse) sine of z,
asinh(z)=log(z+√1+z2).
Available since 2.28
complex
atanh
(complex z)
Return the complex hyperbolic arc (inverse) tangent of z,
atanh(z)=log(1+z)−log(1−z)2.
Available since 2.28