Difference between revisions of "Manuals/calci/TANH"

Revision as of 23:33, 4 November 2013

TANH(z)

This function gives the hyperbolic tan of 'z'.
Also it is called as Circular function.
Here $SINH={\frac {(}{e}}^{z}-e^{-}z)(e^{z}+e^{-}z)$ 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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 ==Description==
-*This function gives the hyperbolic sin of 'z'.
+*This function gives the hyperbolic tan of 'z'.
 *Also it is called as Circular function.
-* Here <math>SINH=\frac{e^z-e^{-z}}{2}</math> or <math>-iSIN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math>
+* Here <math>SINH=\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>Sin(iz)=iSin(hz)</math> & <math>Sinh(iz)= iSin(z)</math>
+*Also relation between Hyperbolic & Trigonometric function is <math>Tan(iz)=iTan(hz)</math> & <math>Tanh(iz)= iTan(z)</math>
-*SINH(-z)=-SINH(z)
+*TANH(-z)=-TANH(z)
 == Examples ==