Hyperbolic Cotangent
Online calculator for calculating the hyperbolic cotangent of an angle
On this page the hyperbolic cotangent to an angle is calculated. To calculate, enter the angle at which the hyperbolic cotangent should be calculated, then click on the 'Calculate' button.
The unit of measurement for the angle can be switched between degrees and radians
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Description
The function Coth calculates the hyperbolic cotangent of an angle. The hyperbolic cotangent (coth) is a mathematical function found in the family of hyperbolic functions.
Input
The angle 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.
Definition
The hyperbolic cotangent can be expressed by the following formula:
\(\displaystyle \coth (x) = \frac{\cosh (x)}{\sinh (x)} \)
The hyperbolic cotangent can be expressed by the following formula:
\(\displaystyle \coth(x) = \frac{e^x + e^{-x}}{e^x - e^{-x}} = \frac{e^{2x} + 1}{e ^{2x} - 1} = 1 + \frac{2}{e^{2x} - 1} \)
Where x is the value of the angle, which is given as radians.
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ACosh • ACoth • ACsch • ASech • ASinh • ATanh • Cosh • Coth • Csch • Sech • Sinh • TanhTrigonometrische Funktionen
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