Hyperbolic Inverse Calculator

Enter hyperbolic inverse

How does the Hyperbolic Inverse Calculator work?

Calculates hyperbolic function values: arcsinh, arccosh, arctanh, arccsch, arcsech, arccoth
This calculator has 1 input.

What 6 formulas are used for the Hyperbolic Inverse Calculator?

arcsinh(x) = Ln(x + √x² + 1)
arccosh(x) = Ln(x + √x² - 1) where x ≥ 1
arctanh(x) = 0.5 Ln[(1 + x)/(1 - x)] where -1 < x < 1
arccsch(x) = Ln(1/x + √1/x² + 1)
arcsech(x) = Ln(1/x + √1/x² - 1) where 0 < x ≤ 1
arctanh(x) = 0.5 Ln[(x + 1)/(x - 1)] where x < -1 or x > 1

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Hyperbolic Inverse Calculator?

euler: Famous mathematician who developed Euler's constant
function: relation between a set of inputs and permissible outputs
ƒ(x)
hyperbolic inverse: multivalued function that are the inverse functions of the hyperbolic functions

Example calculations for the Hyperbolic Inverse Calculator