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(x)'''</div><br/>
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* where x is any real number.
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**SECH(), returns the inverse hyperbolic secant of a number.
  
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SECH(SomeNumber)
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==Description==
  
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where '''SomeNumber''' is any real number
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* This function gives the hyperbolic Secant of 'x',
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* It is also called as Circular function.
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* SECH is the reciprocal of COSH function.
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* SECH(x)=<math>(cosh (x))^{-1}</math> i.e, <math>\frac{ 2} {e^x+e^{-x}} </math> or SEC(iz). where 'i' is the imaginary unit and <math>i=\sqrt{-1}</math>
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* Also relation between Hyperbolic & Trigonometric function is <math>Sec(ix) = Sech(x)</math> & <math>Sech(ix) = Sec(x)</math>
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*SECH(-x) = SECH(x)
  
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</div>
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== Examples ==
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----
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'''SECH(x)'''
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<div id="1SpaceContent" class="zcontent" align="left">
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*'''x''' is any real number.
  
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Calci returns the hyperbolic SECANT of a real number
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{|id="TABLE1" class="SpreadSheet blue"
  
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</div>
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|- class="even"
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----
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|'''SECH(x)'''
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<div id="7SpaceContent" class="zcontent" align="left">
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|'''Value'''
  
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SECH returns NaN if SomeNumber is not a real number
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|- class="odd"
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| SECH(0)
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| 1
  
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</div>
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|- class="even"
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----
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| SECH(10)
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
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| 0.00009079985933781728
  
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SECH
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|- class="odd"
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| SECH(7)
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| 0.001823762414
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|}
  
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</div></div>
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==Related Videos==
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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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{{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic SEC}}
  
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<nowiki>=SECH(Column1Row1)</nowiki>
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==See Also==
  
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Returns 0.036619 for SECH(4)
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*[[Manuals/calci/SEC | SEC]]
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*[[Manuals/calci/DSEC | DSEC]]
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*[[Manuals/calci/COSH | COSH]]
  
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Consider another example in (Column2Row2)
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==References==
  
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<nowiki>=SECH(Column1Row2)</nowiki>
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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]
  
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Returns NaN for SECH("abc")
 
  
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</div>
 
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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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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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|+ Default Calci
 
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| Column1
 
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| Column2
 
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| Column4
 
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| class=" " | Row1
 
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| class="  1" | 4
 
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| class="1                                                                                                                                          " | 0.036619
 
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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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{|
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*[[Z_API_Functions | List of Main Z Functions]]
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| <span align="left">[[Image:calci1.gif]]</span>
 
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*[[ Z3 |  Z3 home ]]
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Latest revision as of 15:39, 3 July 2018

SECH(x)


  • where x is any real number.
    • SECH(), returns the inverse hyperbolic secant of a number.

Description

  • This function gives the hyperbolic Secant of 'x',
  • It is also called as Circular function.
  • SECH is the reciprocal of COSH function.
  • SECH(x)= i.e, or SEC(iz). where 'i' is the imaginary unit and
  • Also relation between Hyperbolic & Trigonometric function is &
  • SECH(-x) = SECH(x)

Examples

SECH(x)

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

Related Videos

Hyperbolic SEC

See Also

References



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