Difference between revisions of "Manuals/calci/TANH"

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<div style="font-size:30px">'''TANH(z)'''</div><br/>
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<div style="font-size:30px">'''TANH(x)'''</div><br/>
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* where z is any real number
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* where x is any real number.
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**TANH(), returns the hyperbolic tangent of a number.
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==Description==
 
==Description==
  
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*This function gives the hyperbolic tan of 'z'.
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*This function gives the hyperbolic Tan of 'x'.
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*Also it is called as Circular function.
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*It is also called as Circular function.
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* 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>
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*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>
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*Also relation between Hyperbolic & Trigonometric function is <math>Tan(iz)=iTan(hz)</math> & <math>Tanh(iz)= iTan(z)</math>
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*Also relation between Hyperbolic & Trigonometric function is <math>Tan(ix)=iTanh(x)</math> & <math>Tanh(ix)= iTan(x)</math>
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*TANH(-z)=-TANH(z)
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*TANH(-x)=-TANH(x)
  
 
== Examples ==
 
== Examples ==
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'''SINH(z)'''
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'''TANH(x)'''
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*'''z''' is any real number.
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*'''x''' is any real number.
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
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|'''SINH(z)'''
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|'''TANH(x)'''
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|'''Value(Radian)'''
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|'''Value'''
  
 
|- class="odd"
 
|- class="odd"
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| SINH(0)
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| TANH(0)
 
| 0
 
| 0
  
 
|- class="even"
 
|- class="even"
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| SINH(10)
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| TANH(1)
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| 11013.23287
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| 0.7615941559557649
  
 
|- class="odd"
 
|- class="odd"
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| SINH(-3)
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| TANH(10)
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| -10.0178749274099
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| 1
 
|}
 
|}
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==Related Videos==
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{{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic TAN}}
  
 
==See Also==
 
==See Also==
  
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*[[Manuals/calci/SIN| SIN]]
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*[[Manuals/calci/TAN| TAN]]
  
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*[[Manuals/calci/COSH| COSH]]
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*[[Manuals/calci/SINH| SINH]]
  
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*[[Manuals/calci/TANH | TANH]]
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*[[Manuals/calci/COSH | COSH]]
  
 
==References==
 
==References==
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
 
*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 16:50, 21 August 2018

TANH(x)


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

Description

  • This function gives the hyperbolic Tan of 'x'.
  • It is also called as Circular function.
  • Here ie, or , where is the imginary unit and
  • Also relation between Hyperbolic & Trigonometric function is &
  • TANH(-x)=-TANH(x)

Examples

TANH(x)

  • x is any real number.
TANH(x) Value
TANH(0) 0
TANH(1) 0.7615941559557649
TANH(10) 1

Related Videos

Hyperbolic TAN

See Also

References



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