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Inverse Hyperbolic Sine Calculator arcsinh(x)

Written by:
PK

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

Inverse Hyperbolic Sine Calculator

Using the Inverse Hyperbolic Sine Calculator

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

  • Hyperbolic sine - 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 sine you entered

What is the asinh or inverse hyperbolic sine?

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

arcsinh(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)

Arcsinh as a formula

Inverse hyperbolic sine is often written as arcsinh, but usually abbreviated as "asinh" or "arsinh", as in the following equation:

arcsinh(y) = asinh(y) = arsinh(y)

Where it is the inverse of hyperbolic sine, or:

x=arcsinh(y)\\y=sinh(x)

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

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