Difference between revisions of "Manuals/calci/ATANH"

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<div style="font-size:30px">'''ATANH(z)'''</div><br/>
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<div style="font-size:30px">'''ATANH(Number)'''</div><br/>
* where z is any number between -1 and 1.
+
* Number is any value between -1 and 1.
 +
**ATANH() returns the inverse hyperbolic tangent of a number.
 +
 
 
==Description==
 
==Description==
  
 
*This function gives the Inverse Hyperbolic Tangent of a number.  
 
*This function gives the Inverse Hyperbolic Tangent of a number.  
*Here 'z' is  any between -1 and 1. ie -1<z<1
+
*Here 'z' is  any number between -1 and 1. ie <math>-1<z<1</math>
*Inverse Hyperbolic Tangent of a number is defined by <math>Atanh(z)=frac{1}{2}log e(1+frac{z}{1-z})</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
  
 
== Examples ==
 
== Examples ==
'''ACOSH(z)'''
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'''ATANH(z)'''
*'''z''' is any real number.
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*'''z''' is any real number between -1 & 1.
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
|'''ACOSH(z)'''
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|'''ATANH(z)'''
|'''Value(Radian)'''
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|'''Value'''
  
 
|- class="odd"
 
|- class="odd"
| ACOSH(1)
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| ATANH(0.1)
| 0
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| 0.100353477
  
 
|- class="even"
 
|- class="even"
| ACOSH(30)
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| ATANH(0.75)
| 4.0940666863209
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| 0.97295507
  
 
|- class="odd"
 
|- class="odd"
| ACOSH(90)
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| ATANH(-0.3)
| 5.192925985263806
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| 0.309519604
 
|}
 
|}
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 +
==Related Videos==
 +
 +
{{#ev:youtube|vfOWS8Y_rQw|280|center|Inverse Hyperbolic TAN}}
  
 
==See Also==
 
==See Also==
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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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 +
 +
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

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