Hyperbolic Tangent

Calculator and formula for calculating the hyperbolic tangent of an angle


On this page the hyperbolic tangent to an angle is calculated. To calculate, enter the angle at which the hyperbolic tangent should be calculated, then click on the 'Calculate' button.

The unit of measurement for the angle can be switched between degrees and radians


Tanh Calculator

 Input
Angle
Unit
Decimal places
 Results
Tanh

Description


The function Tanh calculates the hyperbolic tangent of real numbers. You can find the Tanh function for calculating a complex number here


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.


Output


The range of the result is -1 to +1.


Definition


The hyperbolic tangent (tanh) can be expressed by the following formula:

\(\displaystyle tanh(x)=\frac{sinh(x)}{cosh(x)}\) \(\displaystyle =\frac{e^x-e^{-x}}{e^x+e^{-x}} \) \(\displaystyle =\frac{e^{2x}-1}{e^{2x}+1} \)

Where x is the value of the angle, which is given as radians.


tanh curve
The unit of measurement for the X axis is radians

IT Functions

Decimal, Hex, Bin, Octal conversionShift bits left or rightSet a bitClear a bitBitwise ANDBitwise ORBitwise exclusive OR

Special functions

AiryDerivative AiryBessel-IBessel-IeBessel-JBessel-JeBessel-KBessel-KeBessel-YBessel-YeSpherical-Bessel-J Spherical-Bessel-YHankelBetaIncomplete BetaIncomplete Inverse BetaBinomial CoefficientBinomial Coefficient LogarithmErfErfcErfiErfciFibonacciFibonacci TabelleGammaInverse GammaLog GammaDigammaTrigammaLogitSigmoidDerivative SigmoidSoftsignDerivative SoftsignSoftmaxStruveStruve tableModified StruveModified Struve tableRiemann Zeta

Hyperbolic functions

ACoshACothACschASechASinhATanhCoshCothCschSechSinhTanh

Trigonometrische Funktionen

ACosACotACscASecASinATanCosCotCscSecSinSincTanDegree to RadianRadian to Degree



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