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(z)'''</div><br/>
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* where z is any real number
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==Description==
  
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COTH(SomeNumber)
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*This function gives the hyperbolic cotangent of 'z',also it is called as circular function.
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*COTH is the reciprocal of TANH function.
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*COTH  z=cosh z/sinh z.i.e. e^z+e^-z/e^z-e^-z or Icot iz.where 'I' is the imginary unit and i=sqrt(-1).
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*Also relation between hyperbolic &trignometric function is
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*cot(iz)=-icothz&coth(iz)=-icot z
  
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where '''SomeNumber''' is any real number
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== Examples ==
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'''COTH(z)'''
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*'''z''' is any real number.
  
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</div>
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{|id="TABLE1" class="SpreadSheet blue"
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----
 
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<div id="1SpaceContent" class="zcontent" align="left">
 
  
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Calci returns the hyperbolic COTANGENT of a real number
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|- class="even"
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|'''COTH(z)'''
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|'''Value(Radian)'''
  
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</div>
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|- class="odd"
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----
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| COTH(1)
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<div id="7SpaceContent" class="zcontent" align="left">
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| 1.3130352854993312
  
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COTH returns NaN if SomeNumber is not a real number
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|- class="even"
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| COTH(30)
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| 1
  
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</div>
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|- class="odd"
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----
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| COTH(-45)
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
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  1
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|
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COTH
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|}
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</div></div>
 
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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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<nowiki>=COTH(Column1Row1)</nowiki>
 
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Returns 1 for COTH(45)
 
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Consider another example in (Column2Row2)
 
  
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<nowiki>=COTH(Column1Row2)</nowiki>
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==See Also==
  
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Returns NaN for COTH("abc")
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*[[Manuals/calci/SINH| SINH]]
  
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</div>
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*[[Manuals/calci/COSH| COSH]]
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----
 
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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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----
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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----
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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----
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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----
 
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<div id="2SpaceContent" class="zcontent" align="left">
 
  
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{| id="TABLE3" class="SpreadSheet blue"
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*[[Manuals/calci/TANH | TANH]]
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|+ Default Calci
 
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|- class="even"
 
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| class=" " |
 
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| Column1
 
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| Column2
 
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| Column3
 
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| Column4
 
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|- class="odd"
 
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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" |
 
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| class=" " |
 
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|- class="even"
 
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| class="  " | Row2
 
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| class="sshl_f" | abc
 
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| class="sshl_f  1" | NaN
 
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| class="                      sshl_f  sshl_f" |
 
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| class=" " |
 
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|- class="odd"
 
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| Row3
 
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| class="  SelectTD1 ChangeBGColor SelectTD1" |
 
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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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| class=" sshl_f" |
 
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| class=" sshl_f" |
 
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| class=" " |
 
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|- class="even"
 
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| Row4
 
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| class=" " |
 
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| class=" sshl_f" |
 
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| class=" sshl_f" |
 
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| class=" " |
 
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|- class="odd"
 
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| class=" " | Row5
 
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| class=" " |
 
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| class=" " |
 
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| class=" sshl_f" |
 
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| class=" " |
 
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|- class="even"
 
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| Row6
 
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| class=" " |
 
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| class=" " |
 
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|}
 
  
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{|
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==References==
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| <span align="left">[[Image:calci1.gif]]</span>
 
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|
 
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[[Image:bold.gif]]
 
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[[Image:italic.gif]]
 
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[[Image:normal.gif]]
 
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[[Image:underline.gif]]
 
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[[Image:border.gif]]
 
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[[Image:numbers.gif]]
 
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[[Image:sort.gif]]
 
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[[Image:formatcells.gif]]
 
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|
 
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[[Image:graphs.gif]]
 
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| $
 
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|}
 
  
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</div>
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
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----
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*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]

Revision as of 07:02, 5 November 2013

COTH(z)


  • where z is any real number

Description

  • This function gives the hyperbolic cotangent of 'z',also it is called as circular function.
  • COTH is the reciprocal of TANH function.
  • COTH z=cosh z/sinh z.i.e. e^z+e^-z/e^z-e^-z or Icot iz.where 'I' is the imginary unit and i=sqrt(-1).
  • Also relation between hyperbolic &trignometric function is
  • cot(iz)=-icothz&coth(iz)=-icot z

Examples

COTH(z)

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

See Also

References

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