Difference between revisions of "Manuals/calci/ATANH"

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<div style="font-size:30px">'''ATANH(Number)'''</div><br/>
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* Number is any value between -1 and 1.
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**ATANH() returns the inverse hyperbolic tangent of a number.
  
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Syntax
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==Description==
  
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*This function gives the Inverse Hyperbolic Tangent of a number.
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*Here 'z' is  any number between -1 and 1. ie <math>-1<z<1</math>
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*Inverse Hyperbolic Tangent of a number is defined by <math>Atanh(z)=\frac{1}{2}\log_e(\frac{1+z}{1-z})</math>
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*TANH(-z)=-TANH(z). Also ATANH(TANH(z))=z
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*ATANH(1)=Infinty
  
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Examples
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== Examples ==
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'''ATANH(z)'''
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*'''z''' is any real number between -1 & 1.
  
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<font size="5">Description</font>
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|'''ATANH(z)'''
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|'''Value'''
  
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| ATANH(0.1)
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| 0.100353477
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<font size="3"><font face="Times New Roman">Calci returns the inverse hyperbolic tangent of an integer and that number should be between -1 and 1. </font></font>
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| ATANH(0.75)
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| ATANH(-0.3)
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<div align="left">[[Image:calci1.gif]]</div></div>
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==Related Videos==
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{{#ev:youtube|vfOWS8Y_rQw|280|center|Inverse Hyperbolic TAN}}
  
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<font size="3"><font face="Times New Roman">ATANH (n)</font></font>
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==See Also==
  
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<font size="3"><font face="Times New Roman">Where n is a number between 1 and -1.</font></font>
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*[[Manuals/calci/COS| COS]]
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*[[Manuals/calci/COSH | COSH]]
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*[[Manuals/calci/ACOS | ACOS]]
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*[[Manuals/calci/DCOS | DCOS]]
  
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==References==
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Lets see an example in (Column1, Row 3)
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
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*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
  
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ATANH (A)
 
  
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ATANH (C1R3)''''''
 
  
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That is ATANH (.1) is 0.1003
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*[[Z_API_Functions | List of Main Z Functions]]
  
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*[[ Z3 |  Z3 home ]]
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Latest revision as of 17:15, 18 June 2018

ATANH(Number)


  • Number is any value between -1 and 1.
    • ATANH() returns the inverse hyperbolic tangent of a number.

Description

  • This function gives the Inverse Hyperbolic Tangent of a number.
  • Here 'z' is any number between -1 and 1. ie
  • Inverse Hyperbolic Tangent of a number is defined by
  • TANH(-z)=-TANH(z). Also ATANH(TANH(z))=z
  • ATANH(1)=Infinty

Examples

ATANH(z)

  • z is any real number between -1 & 1.
ATANH(z) Value
ATANH(0.1) 0.100353477
ATANH(0.75) 0.97295507
ATANH(-0.3) 0.309519604

Related Videos

Inverse Hyperbolic TAN

See Also

References


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