Hyperbolic Functions Calculator

Compute all six hyperbolic functions and their inverses for any value of x.

Enter x

Primary Hyperbolic Functions

sinh(x)
(eˣ − e⁻ˣ)/2
cosh(x)
(eˣ + e⁻ˣ)/2
tanh(x)
sinh/cosh
csch(x)
1/sinh(x)
sech(x)
1/cosh(x)
coth(x)
cosh/sinh

Inverse Hyperbolic Functions

arcsinh(x)
arccosh(x)
arctanh(x)
arccsch(x)
arcsech(x)
arccoth(x)
Key identity: cosh²(x) − sinh²(x) = 1 (verified: )