Inverse Hyperbolic Cosecan

On this page the angle to the hyperbolic cosecant is calculated. To calculate, enter the value of the hyperbolic cosecant 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

Description

The function ACsch calculates the angle to the hyperbolic cosecant, which is given as a real number. You can find the ACsch function for calculating a complex number here

Input

The argument can be a positive or negative number. If 0 is returned, the result is ∞ (infinity).

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 acsch function

Definition

The inverse hyperbolic cosecant (ACsch) is a mathematical function that calculates the angle, whose hyperbolic cosecant is given as a real number.

The formula for calculating the inverse hyperbolic cosecant (ACsch) is:

\(\displaystyle \text{ACsch}(x) = \ln \left( \frac{1}{x} + \sqrt{\frac{1}{x^2} + 1} \right) \)

Where \(x\) is the value of the hyperbolic cosecant. Please note that the argument for the ACsch function must be greater than 0 or less than 0, since the hyperbolic cosecant is defined in this area.