Difference between revisions of "Manuals/calci/TANH"

Latest revision as of 15:50, 21 August 2018

TANH(x)

where x is any real number.
- TANH(), returns the hyperbolic tangent of a number.

This function gives the hyperbolic Tan of 'x'.
It is also called as Circular function.
Here $TANH(x)={\frac {e^{x}-e^{-x}}{e^{x}+e^{-x}}}$ ie, ${\frac {SINH(x)}{COSH(x)}}$ or $-iTAN(ix)$ , where $i$ is the imginary unit and $i={\sqrt {-1}}$
Also relation between Hyperbolic & Trigonometric function is $Tan(ix)=iTanh(x)$ & $Tanh(ix)=iTan(x)$
TANH(-x)=-TANH(x)

TANH(x)

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''TANH(z)'''</div><br/>
+<div style="font-size:30px">'''TANH(x)'''</div><br/>
-* where z is any real number
+* where x is any real number.
+**TANH(), returns the hyperbolic tangent of a number.
 ==Description==
-*This function gives the hyperbolic Tan of 'z'.
+*This function gives the hyperbolic Tan of 'x'.
 *It is also called as Circular function.
-*Here <math>TANH(z)=\frac{e^z-e^{-z}}{e^z+e^{-z}}</math>  ie, <math>\frac{SINH(z)} {COSH(z)}</math> or <math>-iTAN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math>
+*Here <math>TANH(x)=\frac{e^x-e^{-x}}{e^x+e^{-x}}</math>  ie, <math>\frac{SINH(x)} {COSH(x)}</math> or <math>-iTAN(ix)</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)=iTanh(z)</math> & <math>Tanh(iz)= iTan(z)</math>
+*Also relation between Hyperbolic & Trigonometric function is <math>Tan(ix)=iTanh(x)</math> & <math>Tanh(ix)= iTan(x)</math>
-*TANH(-z)=-TANH(z)
+*TANH(-x)=-TANH(x)
 == Examples ==
-'''TANH(z)'''
+'''TANH(x)'''
-*'''z''' is any real number.
+*'''x''' is any real number.
 {|id="TABLE1" class="SpreadSheet blue"
 |- class="even"
-|'''TANH(z)'''
+|'''TANH(x)'''
 |'''Value'''