Difference between revisions of "Manuals/calci/TANH"

Revision as of 23:39, 4 November 2013

TANH(z)

This function gives the hyperbolic tan of 'z'.
Also it is called as Circular function.
Here $TANH={\frac {e^{z}-e^{-}z}{e^{z}+e^{-}z}}$ or $-iTAN(iz)$ , where $i$ is the imginary unit and $i={\sqrt {-1}}$
Also relation between Hyperbolic & Trigonometric function is $Tan(iz)=iTan(hz)$ & $Tanh(iz)=iTan(z)$
TANH(-z)=-TANH(z)

SINH(z)

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 *This function gives the hyperbolic tan of 'z'.
 *Also it is called as Circular function.
-* Here <math>TANH=\frac(e^z-e^-z)(e^z+e^-z)</math> or <math>-iTAN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math>
+* Here <math>TANH=\frac{e^z-e^-z}{e^z+e^-z}</math> or <math>-iTAN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math>
 *Also relation between Hyperbolic & Trigonometric function is <math>Tan(iz)=iTan(hz)</math> & <math>Tanh(iz)= iTan(z)</math>
 *TANH(-z)=-TANH(z)