Difference between revisions of "Manuals/calci/COTH"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> COTH(SomeNumber) where '''SomeNumber''' is any real number </div> ---- <div id="1SpaceContent" class="zconte...")
 
 
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<div style="font-size:30px">'''COTH(x)'''</div><br/>
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* where x is any real number.
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**COTH() returns the inverse hyperbolic tangent of a number.
  
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COTH(SomeNumber)
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==Description==
  
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where '''SomeNumber''' is any real number
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*This function gives the hyperbolic Cotangent of 'x'.
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*It's also called as Circular function.
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*Let z is any real number.
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*COTH is the reciprocal of TANH function.i.e.COTH(z)=<math>(tanh (z))^{-1}</math>
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*<math>COTH(z)=\frac{Cosh(z)}{Sinh(z)}</math>  i.e <math>\frac {e^z+e^{-z}} {e^z-e^{-z}}</math> or iCOT(iz).where 'i' is the imaginary unit and <math>i=\sqrt{-1}</math>.
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*Also relation between Hyperbolic & Trignometric function is <math>Cot(iz)=-iCoth(z)</math> & <math>Coth(iz)=-iCot(z)</math>
  
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</div>
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== Examples ==
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----
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'''COTH(x)'''
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<div id="1SpaceContent" class="zcontent" align="left">
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*'''x''' is any real number.
  
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Calci returns the hyperbolic COTANGENT of a real number
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{|id="TABLE1" class="SpreadSheet blue"
  
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</div>
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|- class="even"
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----
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|'''COTH(x)'''
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<div id="7SpaceContent" class="zcontent" align="left">
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|'''Value'''
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|- class="odd"
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| COTH(1)
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| 1.3130352854993312
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|- class="even"
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| COTH(30)
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| 1
  
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COTH returns NaN if SomeNumber is not a real number
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|- class="odd"
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| COTH(-45)
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| -1
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|}
  
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</div>
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==Related Videos==
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
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COTH
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{{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic COT}}
  
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</div></div>
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==See Also==
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----
 
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<div id="8SpaceContent" class="zcontent" align="left">
 
  
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Lets see an example in (Column2Row1)
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*[[Manuals/calci/SINH| SINH]]
  
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<nowiki>=COTH(Column1Row1)</nowiki>
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*[[Manuals/calci/COSH| COSH]]
  
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Returns 1 for COTH(45)
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*[[Manuals/calci/TANH | TANH]]
  
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Consider another example in (Column2Row2)
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==References==
  
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<nowiki>=COTH(Column1Row2)</nowiki>
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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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Returns NaN for COTH("abc")
 
  
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</div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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|+ Default Calci
 
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| class=" " | Row1
 
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| class="  1 " | 45
 
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| class="1" | 1
 
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| class="sshl_f  1" | NaN
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
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{|
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*[[Z_API_Functions | List of Main Z Functions]]
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| <span align="left">[[Image:calci1.gif]]</span>
 
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*[[ Z3 |  Z3 home ]]
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Latest revision as of 17:31, 18 June 2018

COTH(x)


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

Description

  • This function gives the hyperbolic Cotangent of 'x'.
  • It's also called as Circular function.
  • Let z is any real number.
  • COTH is the reciprocal of TANH function.i.e.COTH(z)=
  • i.e or iCOT(iz).where 'i' is the imaginary unit and .
  • Also relation between Hyperbolic & Trignometric function is &

Examples

COTH(x)

  • x is any real number.
COTH(x) Value
COTH(1) 1.3130352854993312
COTH(30) 1
COTH(-45) -1

Related Videos

Hyperbolic COT

See Also

References



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