Inverse Hyperbolic Cotangent
Online calculator for calculating the angle to the inverse hyperbolic cotangent
On this page the angle to the hyperbolic cotangent is calculated. To calculate, enter the value of the hyperbolic cotangent 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 ACoth function calculates the angle to the hyperbolic cotangent, which is given as a real number.
Input
The argument must be less than -1 or greater than 1.
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 acoth function
Definition
The inverse hyperbolic cotangent (ACoth) is a mathematical function that calculates the angle, whose hyperbolic cotangent is given as a real number.
The formula for calculating the inverse hyperbolic cotangent (ACoth) is:
\(\displaystyle \text{ACoth}(x) = \frac{1}{2} \ln \left( \frac{x + 1}{x - 1} \right) \)
Where \(x\) is the value of the hyperbolic cotangent. The formula returns the angle in radians.
Please note that the argument for the ACoth function must be greater than 1 or less than -1, since the hyperbolic cotangent is defined in this area.
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