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| − | <div id="6SpaceContent" class="zcontent" align="left"> | + | <div style="font-size:30px">'''COTH(z)'''</div><br/> |
| | + | * where z is any real number |
| | + | ==Description== |
| | | | |
| − | COTH(SomeNumber) | + | *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 |
| | | | |
| − | where '''SomeNumber''' is any real number
| + | == Examples == |
| | + | '''COTH(z)''' |
| | + | *'''z''' is any real number. |
| | | | |
| − | </div>
| + | {|id="TABLE1" class="SpreadSheet blue" |
| − | ----
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| − | <div id="1SpaceContent" class="zcontent" align="left">
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| − | Calci returns the hyperbolic COTANGENT of a real number
| + | |- class="even" |
| | + | |'''COTH(z)''' |
| | + | |'''Value(Radian)''' |
| | | | |
| − | </div>
| + | |- class="odd" |
| − | ----
| + | | COTH(1) |
| − | <div id="7SpaceContent" class="zcontent" align="left">
| + | | 1.3130352854993312 |
| | | | |
| − | COTH returns NaN if SomeNumber is not a real number | + | |- class="even" |
| | + | | COTH(30) |
| | + | | 1 |
| | | | |
| − | </div>
| + | |- class="odd" |
| − | ----
| + | | COTH(-45) |
| − | <div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
| + | 1 |
| − | | + | | |
| − | COTH | + | |} |
| − | | |
| − | </div></div>
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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>
| + | ==See Also== |
| | | | |
| − | Returns NaN for COTH("abc")
| + | *[[Manuals/calci/SINH| SINH]] |
| | | | |
| − | </div>
| + | *[[Manuals/calci/COSH| COSH]] |
| − | ----
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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"
| + | *[[Manuals/calci/TANH | TANH]] |
| − | |+ 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="odd"
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| − | | class=" " | Row5
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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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| − | | class=" sshl_f" |
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| − | | class=" " |
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| − | |}
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| | | | |
| − | {|
| + | ==References== |
| − | | <span align="left">[[Image:calci1.gif]]</span>
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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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| − | [[Image:graphs.gif]]
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| − | | $
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| − | |}
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| − | </div>
| + | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] |
| − | ----
| + | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] |