Difference between revisions of "Manuals/calci/SECH"

From ZCubes Wiki
Jump to navigation Jump to search
(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> SECH(SomeNumber) where '''SomeNumber''' is any real number </div> ---- <div id="1SpaceContent" class="zconte...")
 
 
(16 intermediate revisions by 4 users not shown)
Line 1: Line 1:
−
<div id="6SpaceContent" class="zcontent" align="left">
+
<div style="font-size:30px">'''SECH(x)'''</div><br/>
 +
* where x is any real number.
 +
**SECH(), returns the inverse hyperbolic secant of a number.
  
−
SECH(SomeNumber)
+
==Description==
  
−
where '''SomeNumber''' is any real number
+
* This function gives the hyperbolic Secant of 'x',
 +
* It is also called as Circular function.
 +
* SECH is the reciprocal of COSH function.
 +
* 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>
 +
* Also relation between Hyperbolic & Trigonometric function is <math>Sec(ix) = Sech(x)</math> & <math>Sech(ix) = Sec(x)</math>
 +
*SECH(-x) = SECH(x)
  
−
</div>
+
== Examples ==
−
----
+
'''SECH(x)'''
−
<div id="1SpaceContent" class="zcontent" align="left">
+
*'''x''' is any real number.
  
−
Calci returns the hyperbolic SECANT of a real number
+
{|id="TABLE1" class="SpreadSheet blue"
  
−
</div>
+
|- class="even"
−
----
+
|'''SECH(x)'''
−
<div id="7SpaceContent" class="zcontent" align="left">
+
|'''Value'''
  
−
SECH returns NaN if SomeNumber is not a real number
+
|- class="odd"
 +
| SECH(0)
 +
| 1
  
−
</div>
+
|- class="even"
−
----
+
| SECH(10)
−
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
+
| 0.00009079985933781728
  
−
SECH
+
|- class="odd"
 +
| SECH(7)
 +
| 0.001823762414
 +
|}
  
−
</div></div>
+
==Related Videos==
−
----
 
−
<div id="8SpaceContent" class="zcontent" align="left">
 
  
−
Lets see an example in (Column2Row1)
+
{{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic SEC}}
  
−
<nowiki>=SECH(Column1Row1)</nowiki>
+
==See Also==
  
−
Returns 0.036619 for SECH(4)
+
*[[Manuals/calci/SEC | SEC]]
 +
*[[Manuals/calci/DSEC | DSEC]]
 +
*[[Manuals/calci/COSH | COSH]]
  
−
Consider another example in (Column2Row2)
+
==References==
  
−
<nowiki>=SECH(Column1Row2)</nowiki>
+
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 +
*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
  
−
Returns NaN for SECH("abc")
 
  
−
</div>
 
−
----
 
−
<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>
 
−
----
 
−
<div id="2SpaceContent" class="zcontent" align="left">
 
  
−
{| id="TABLE3" class="SpreadSheet blue"
 
−
|+ 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=" " |
 
−
|}
 
  
−
{|
+
*[[Z_API_Functions | List of Main Z Functions]]
−
| <span align="left">[[Image:calci1.gif]]</span>
 
−
|
 
−
|
 
−
[[Image:bold.gif]]
 
−
|
 
−
[[Image:italic.gif]]
 
−
|
 
−
[[Image:normal.gif]]
 
−
|
 
−
[[Image:underline.gif]]
 
−
|
 
−
[[Image:border.gif]]
 
−
|
 
−
[[Image:numbers.gif]]
 
−
|
 
−
[[Image:sort.gif]]
 
−
|
 
−
[[Image:formatcells.gif]]
 
−
|
 
−
[[Image:graphs.gif]]
 
−
| $
 
−
|}
 
  
−
</div>
+
*[[ Z3 |  Z3 home ]]
−
----
 

Latest revision as of 14:39, 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



Retrieved from "http://wiki.zcubes.com/index.php?title=Manuals/calci/SECH&oldid=210578"