Difference between revisions of "Manuals/calci/COSH"

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<div style="font-size:30px">'''COSH(Number)'''</div><br/>
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* Number is any real number.
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**COSH() returns the hyperbolic cosine of a number.
  
Syntax
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==Description==
  
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*This function gives the hyperbolic Cos of 'z'.
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*Also it is called as Circular function.
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* 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>
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*Also relation between Hyperbolic & Trigonometric function is <math>Cos(iz)=Cosh(z)</math> & <math>Cosh(iz)= Cos(z)</math>
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*COSH(-z) = COSH(z)
  
Examples
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== Examples ==
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'''COSH(z)'''
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*'''z''' is any real number.
  
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{|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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<font size="5">Description</font>
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|- class="even"
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|'''COSH(z)'''
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|'''Value'''
  
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| 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>
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| 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''')
 
  
'''Where N''' is an integer to find the hyperbolic cosine.
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| COSH(10)
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| 11013.232920103319
  
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|- class="odd"
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| COSH(7)
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| 548.3170352
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|}
  
Calculate the hyperbolic cosine of a number.
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==Related Videos==
  
</div></div>
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{{#ev:youtube|Wfpb-fniSSk|280|center|Hyperbolic COS}}
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Lets see an example in (Column1, Row 1)
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==See Also==
  
COSH (R)
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*[[Manuals/calci/COS| COS]]
  
COSH (C1R1)
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*[[Manuals/calci/SINH| SINH]]
  
That is COSH (12) is 81377.3957
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*[[Manuals/calci/TANH | TANH]]
  
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==References==
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| Column1
 
| class="  " | Column2
 
| class="  " | Column3
 
| class="  " | Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f" | 12
 
| class="sshl_f" | 81377.3957
 
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| class="  " | Row2
 
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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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| Row3
 
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| Row4
 
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| class=" " | Row5
 
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|- class="even"
 
| Row6
 
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|}
 
  
<div align="left">[[Image:calci1.gif]]</div></div>
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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]
<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>
 
  
<font size="3"> </font>
 
  
<font face="Times New Roman"><font size="3">The formula for the hyperbolic cosine is:</font></font>
 
  
<font size="3" face="Times New Roman"></font><font face="Times New Roman"><font size="3">  , where N=z</font></font>
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*[[Z_API_Functions | List of Main Z Functions]]
  
</font></div></div>
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*[[ Z3 |  Z3 home ]]
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Latest revision as of 16:26, 18 June 2018

COSH(Number)


  • Number is any real number.
    • COSH() returns the hyperbolic cosine of a number.

Description

  • This function gives the hyperbolic Cos of 'z'.
  • Also it is called as Circular function.
  • Here or , where is the imaginary unit and
  • Also relation between Hyperbolic & Trigonometric function is &
  • COSH(-z) = COSH(z)

Examples

COSH(z)

  • z is any real number.
COSH(z) Value
COSH(0) 1
COSH(10) 11013.232920103319
COSH(7) 548.3170352

Related Videos

Hyperbolic COS

See Also

References