Inverse Hyperbolic Cosine
Calculator for calculating the angle to the inverse hyperbolic cosine
On this page the angle to the hyperbolic cosine is calculated. To calculate, enter the value of the hyperbolic cosine to which the angle should be calculated, then click on the 'Calculate' button.
The unit of measurement for the result can be switched between degrees and radians
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Description
The ACosh function calculates the angle to the hyperbolic cosine, which is given as a real number.
Input
The argument must be greater than or equal to 1. If the value is less than 1, the function returns the result \(\text{NaN}\) (not a valid number).
Result
The result is given in degrees (full circle = 360°) or radians (full circle = 2 · π). The unit of measurement used is set using the Degrees or Radians menu
Curve of the ACosh function
Definition
The inverse hyperbolic cosine is the inverse function of the hyperbolic cosine. This feature is often abbreviated as ACosh. It calculates the angle that corresponds to the value of the hyperbolic cosine.
In a mathematical formula this can be expressed as follows:
\(\displaystyle \text{ACosh}(x) = \ln(x+\sqrt{x^2-1})\)
Here \(x\) is the value of the hyperbolic cosine. If the hyperbolic cosine is used as an argument, the ACosh function returns the angle in radians.
IT Functions
Decimal, Hex, Bin, Octal conversion • Shift bits left or right • Set a bit • Clear a bit • Bitwise AND • Bitwise OR • Bitwise exclusive ORSpecial functions
Airy • Derivative Airy • Bessel-I • Bessel-Ie • Bessel-J • Bessel-Je • Bessel-K • Bessel-Ke • Bessel-Y • Bessel-Ye • Spherical-Bessel-J • Spherical-Bessel-Y • Hankel • Beta • Incomplete Beta • Incomplete Inverse Beta • Binomial Coefficient • Binomial Coefficient Logarithm • Erf • Erfc • Erfi • Erfci • Fibonacci • Fibonacci Tabelle • Gamma • Inverse Gamma • Log Gamma • Digamma • Trigamma • Logit • Sigmoid • Derivative Sigmoid • Softsign • Derivative Softsign • Softmax • Struve • Struve table • Modified Struve • Modified Struve table • Riemann ZetaHyperbolic functions
ACosh • ACoth • ACsch • ASech • ASinh • ATanh • Cosh • Coth • Csch • Sech • Sinh • TanhTrigonometrische Funktionen
ACos • ACot • ACsc • ASec • ASin • ATan • Cos • Cot • Csc • Sec • Sin • Sinc • Tan • Degree to Radian • Radian to Degree
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