Difference between revisions of "Manuals/calci/COSH"

From ZCubes Wiki
Jump to navigation Jump to search
(Created page with "<div id="16SpaceContent" align="left"><div class="ZEditBox" align="justify"> Syntax </div></div> ---- <div id="2SpaceContent" align="left"><div class="ZEditBox" align=...")
 
 
(13 intermediate revisions by 4 users not shown)
Line 1: Line 1:
−
<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.
  
−
Syntax
+
==Description==
  
−
</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)
  
−
Examples
+
== Examples ==
 +
'''COSH(z)'''
 +
*'''z''' is any real number.
  
−
</div></div>
+
{|id="TABLE1" class="SpreadSheet blue"
−
----
 
−
<div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
 
−
----
 
−
<div id="11SpaceContent" align="left"><div class="ZEditBox mceEditable" align="justify">
 
  
−
<font size="5">Description</font>
+
|- class="even"
 +
|'''COSH(z)'''
 +
|'''Value'''
  
−
</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
−
----
 
−
<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.
+
|- class="even"
 +
| COSH(10)
 +
| 11013.232920103319
  
−
</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
 +
|}
  
−
Calculate the hyperbolic cosine of a number.
+
==Related Videos==
  
−
</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"> 
 
  
−
Lets see an example in (Column1, Row 1)
+
==See Also==
  
−
COSH (R)
+
*[[Manuals/calci/COS| COS]]
  
−
COSH (C1R1)
+
*[[Manuals/calci/SINH| SINH]]
  
−
That is COSH (12) is 81377.3957
+
*[[Manuals/calci/TANH | TANH]]
  
−
</font></font></div></div>
+
==References==
−
----
 
−
<div id="6SpaceContent" class="zcontent" align="left">
 
−
 
 
−
{| id="TABLE3" class="SpreadSheet blue"
 
−
|- class="even"
 
−
| class="  " |
 
−
<div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
 
−
| Column1
 
−
| class="  " | Column2
 
−
| class="  " | Column3
 
−
| class="  " | Column4
 
−
|- class="odd"
 
−
| class=" " | Row1
 
−
| class="sshl_f" | 12
 
−
| class="sshl_f" | 81377.3957
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
|- class="even"
 
−
| class="  " | Row2
 
−
| class="sshl_f" |
 
−
| class="sshl_f SelectTD SelectTD" |
 
−
<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>
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
|- class="odd"
 
−
| Row3
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
|- class="even"
 
−
| Row4
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
|- class="odd"
 
−
| class=" " | Row5
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
|- class="even"
 
−
| Row6
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
| class="sshl_f" |
 
−
|}
 
  
−
<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>
 
  
−
<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>
+
*[[Z_API_Functions | List of Main Z Functions]]
  
−
</font></div></div>
+
*[[ Z3 |  Z3 home ]]
−
----
 
−
</div></div></div></div></div></div></div></div></div></div></div></div>
 

Latest revision as of 17:26, 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


Retrieved from "http://wiki.zcubes.com/index.php?title=Manuals/calci/COSH&oldid=210391"