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Inverse Hyperbolic Cosine Calculator arccosh(x)

Written by:
PK

On this page is an inverse hyperbolic cosine calculator (or acosh calculator), which calculates an angle from the result of the hyperbolic cosine function.

Inverse Hyperbolic Cosine Calculator

Using the Inverse Hyperbolic Cosine Calculator

To use the tool to find the angle from a hyperbolic cosine, enter the ratio and compute.

  • Hyperbolic cosine - computed result

Once you're happy with the inputs, click the "Compute Hyperbolic Angle" button.

  • Angle - the angle you'd input if you wanted to get the hyperbolic cosine you entered

What is the acosh or inverse hyperbolic cosine?

Inverse hyperbolic cosine is the inverse of the hyperbolic cosine, which is the even part of the exponential function. It can also be written using the natural logarithm:

arccosh(x)=\ln(x+\sqrt{x^2-1})
Inverse hyperbolic sine, cosine, tangent, cotangent, secant, and cosecant on a graph
Inverse hyperbolic sine, cosine, tangent, cotangent, secant, and cosecant (Wikimedia)

Arccosh as a formula

Inverse hyperbolic cosine is often written as arccosh, but usually abbreviated as "acosh" or "arcosh", as in the following equation:

arccosh(y) = acosh(y) = arcosh(y)

Where it is the inverse of hyperbolic cosine, or:

x=arccosh(y)\\y=cosh(x)

Next, see all inverse hyperbolic functions or hyperbolic functions in just two tools.

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