Difference between revisions of "Manuals/calci/SECH"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> SECH(SomeNumber) where '''SomeNumber''' is any real number </div> ---- <div id="1SpaceContent" class="zconte...")
 
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<div style="font-size:30px">'''SECH(z)'''</div><br/>
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* where z is any real number
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==Description==
  
SECH(SomeNumber)
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This function gives the hyperbolic secant of 'z',also it is called as circular function.SECH is the reciprocal of COSH function.SECH  z=(cosh z)^-1.i.e. 2/e^z+e^-z or SEC iz.where 'I' is the imginary unit and i=sqrt(-1).Also relation between hyperbolic &trignometric function is
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sec(iz)=sechz&sec(iz)=sec z
  
where '''SomeNumber''' is any real number
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== Examples ==
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'''SECH(z)'''
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*'''z''' is any real number.
  
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{|id="TABLE1" class="SpreadSheet blue"
----
 
<div id="1SpaceContent" class="zcontent" align="left">
 
  
Calci returns the hyperbolic SECANT of a real number
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|- class="even"
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|'''SECH(z)'''
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|'''Value(Radian)'''
  
</div>
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|- class="odd"
----
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| SECH(0)
<div id="7SpaceContent" class="zcontent" align="left">
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| 1
  
SECH returns NaN if SomeNumber is not a real number
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|- class="even"
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| SECH(10)
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| 0.00009079985933781728
  
</div>
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|- class="odd"
----
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| SECH(7)
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| SECH(7)=0.001823762414
 
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|}
SECH
 
 
 
</div></div>
 
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<div id="8SpaceContent" class="zcontent" align="left">
 
 
 
Lets see an example in (Column2Row1)
 
 
 
<nowiki>=SECH(Column1Row1)</nowiki>
 
 
 
Returns 0.036619 for SECH(4)
 
 
 
Consider another example in (Column2Row2)
 
  
<nowiki>=SECH(Column1Row2)</nowiki>
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==See Also==
  
Returns NaN for SECH("abc")
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*[[Manuals/calci/COS| COS]]
  
</div>
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*[[Manuals/calci/COSH| COSH]]
----
 
<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
----
 
<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
----
 
<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
----
 
<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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{| id="TABLE3" class="SpreadSheet blue"
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*[[Manuals/calci/DSEC | DSEC]]
|+ Default Calci
 
|- class="even"
 
| class=" " |
 
| Column1
 
| Column2
 
| Column3
 
| Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="  1" | 4
 
| class="1                                                                                                                                          " | 0.036619
 
| class="sshl_f  sshl_f" |
 
| class=" " |
 
|- class="even"
 
| class="  " | Row2
 
| class="sshl_f    " | abc
 
| class="1" | NaN
 
| class="SelectTD1            sshl_f  sshl_f  sshl_f" |
 
<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>
 
| class=" sshl_f" |
 
|- class="odd"
 
| Row3
 
| class="    " |
 
| class=" sshl_f" |
 
| class=" sshl_f" |
 
| class=" sshl_f" |
 
|- class="even"
 
| Row4
 
| class=" " |
 
| class=" sshl_f" |
 
| class=" sshl_f" |
 
| class=" " |
 
|- class="odd"
 
| class=" " | Row5
 
| class=" " |
 
| class=" " |
 
| class=" sshl_f" |
 
| class=" " |
 
|- class="even"
 
| Row6
 
| class=" " |
 
| class=" " |
 
| class=" sshl_f" |
 
| class=" " |
 
|}
 
  
{|
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==References==
| <span align="left">[[Image:calci1.gif]]</span>
 
|
 
|
 
[[Image:bold.gif]]
 
|
 
[[Image:italic.gif]]
 
|
 
[[Image:normal.gif]]
 
|
 
[[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]]
 
|
 
[[Image:graphs.gif]]
 
| $
 
|}
 
  
</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]

Revision as of 06:35, 5 November 2013

SECH(z)


  • where z is any real number

Description

This function gives the hyperbolic secant of 'z',also it is called as circular function.SECH is the reciprocal of COSH function.SECH z=(cosh z)^-1.i.e. 2/e^z+e^-z or SEC iz.where 'I' is the imginary unit and i=sqrt(-1).Also relation between hyperbolic &trignometric function is sec(iz)=sechz&sec(iz)=sec z

Examples

SECH(z)

  • z is any real number.
SECH(z) Value(Radian)
SECH(0) 1
SECH(10) 0.00009079985933781728
SECH(7) SECH(7)=0.001823762414

See Also

References