SHOP

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?

  1. arcsinh(x) = Ln(x + √x2 + 1)
  2. arccosh(x) = Ln(x + √x2 - 1) where x ≥ 1
  3. arctanh(x) = 0.5 Ln[(1 + x)/(1 - x)] where -1 < x < 1
  4. arccsch(x) = Ln(1/x + √1/x2 + 1)
  5. arcsech(x) = Ln(1/x + √1/x2 - 1) where 0 < x ≤ 1
  6. 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

  1. arcsinh(1)
  2. arccosh(2)