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− | <div id="16SpaceContent" align="left"><div class="ZEditBox" align="justify"> | + | <div style="font-size:30px">'''COSH(Number)'''</div><br/> |
| + | * Number is any real number. |
| + | **COSH() returns the hyperbolic cosine of a number. |
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− | Syntax
| + | ==Description== |
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− | </div></div> | + | *This function gives the hyperbolic Cos of 'z'. |
− | ----
| + | *Also it is called as Circular function. |
− | <div id="2SpaceContent" align="left"><div class="ZEditBox" align="justify"> | + | * Here <math>COSH(z)=\frac{e^z+e^{-z}}{2}</math> or <math>COS(iz)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math> |
| + | *Also relation between Hyperbolic & Trigonometric function is <math>Cos(iz)=Cosh(z)</math> & <math>Cosh(iz)= Cos(z)</math> |
| + | *COSH(-z) = COSH(z) |
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− | Examples | + | == Examples == |
| + | '''COSH(z)''' |
| + | *'''z''' is any real number. |
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− | </div></div>
| + | {|id="TABLE1" class="SpreadSheet blue" |
− | ----
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− | <div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
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− | ----
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− | <div id="11SpaceContent" align="left"><div class="ZEditBox mceEditable" align="justify">
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− | <font size="5">Description</font>
| + | |- class="even" |
| + | |'''COSH(z)''' |
| + | |'''Value''' |
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− | </div></div>
| + | |- class="odd" |
− | ----
| + | | COSH(0) |
− | <div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman"> <font size="6">COSH</font> </font>'''</div></div>
| + | | 1 |
− | ----
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− | <div id="3SpaceContent" class="zcontent" align="left"><br /><div id="7Space" class="gamizbox" title="7Space"><div id="7SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="7SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="7SpaceRollupContent" align="center"></span></span></div><div id="7SpaceCover"><div id="7SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman"> '''COSH''' ('''N''')
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− | '''Where N''' is an integer to find the hyperbolic cosine.
| + | |- class="even" |
| + | | COSH(10) |
| + | | 11013.232920103319 |
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− | </font></font></div></div>
| + | |- class="odd" |
− | ---- | + | | COSH(7) |
− | <div id="14SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="5Space" class="gamizbox" title="5Space"><div id="5SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="5SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="5SpaceRollupContent" align="center"></span></span></div><div id="5SpaceCover"><div id="5SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">
| + | | 548.3170352 |
| + | |} |
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− | Calculate the hyperbolic cosine of a number.
| + | ==Related Videos== |
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− | </div></div>
| + | {{#ev:youtube|Wfpb-fniSSk|280|center|Hyperbolic COS}} |
− | ---- | |
− | <div id="12SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="9Space" class="gamizbox" title="9Space"><div id="9SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="9SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="9SpaceRollupContent" align="center"></span></span></div><div id="9SpaceCover"><div id="9SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman">
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− | Lets see an example in (Column1, Row 1)
| + | ==See Also== |
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− | COSH (R)
| + | *[[Manuals/calci/COS| COS]] |
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− | COSH (C1R1)
| + | *[[Manuals/calci/SINH| SINH]] |
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− | That is COSH (12) is 81377.3957
| + | *[[Manuals/calci/TANH | TANH]] |
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− | </font></font></div></div>
| + | ==References== |
− | ----
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− | | Column1
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− | | class=" " | Column2
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− | | class=" " | Column3
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− | | class=" " | Column4
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− | |- class="odd"
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− | | class=" " | Row1
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− | | class="sshl_f" | 12
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− | | class="sshl_f" | 81377.3957
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− | <div id="6Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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− | | class=" " | Row5
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− | |}
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− | <div align="left">[[Image:calci1.gif]]</div></div>
| + | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] |
− | ----
| + | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] |
− | <div id="1SpaceContent" class="zcontent" align="left"><br /><div id="4Space" class="gamizbox" title="4Space"><div id="4SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="4SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="4SpaceRollupContent" align="center"></span></span></div><div id="4SpaceCover"><div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font face="Times New Roman"><font size="3" face="Tahoma">Formula:-</font>
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− | <font size="3"> </font>
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− | <font face="Times New Roman"><font size="3">The formula for the hyperbolic cosine is:</font></font>
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− | <font size="3" face="Times New Roman"></font><font face="Times New Roman"><font size="3"> , where N=z</font></font>
| + | *[[Z_API_Functions | List of Main Z Functions]] |
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− | </font></div></div>
| + | *[[ Z3 | Z3 home ]] |
− | ----
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− | </div></div></div></div></div></div></div></div></div></div></div></div>
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