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| − | <div id=" 16SpaceContent" align="left"><div class="ZEditBox" align="justify"> | + | <div style="font-size:30px">'''TANH(x)'''</div><br/> |
| | + | * where x is any real number. |
| | + | **TANH(), returns the hyperbolic tangent of a number. |
| | | | |
| − | Syntax
| + | ==Description== |
| | | | |
| − | </div></div> | + | *This function gives the hyperbolic Tan of 'x'. |
| − | ----
| + | *It is also called as Circular function. |
| − | <div id="4SpaceContent" align="left"><div class="ZEditBox" align="justify"> | + | *Here <math>TANH(x)=\frac{e^x-e^{-x}}{e^x+e^{-x}}</math> ie, <math>\frac{SINH(x)} {COSH(x)}</math> or <math>-iTAN(ix)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math> |
| | + | *Also relation between Hyperbolic & Trigonometric function is <math>Tan(ix)=iTanh(x)</math> & <math>Tanh(ix)= iTan(x)</math> |
| | + | *TANH(-x)=-TANH(x) |
| | | | |
| − | Remarks
| + | == Examples == |
| | + | '''TANH(x)''' |
| | + | *'''x''' is any real number. |
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| − | </div></div>
| + | {|id="TABLE1" class="SpreadSheet blue" |
| − | ----
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| − | <div id="2SpaceContent" align="left"><div class="ZEditBox" align="justify">
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| − | Examples
| + | |- class="even" |
| | + | |'''TANH(x)''' |
| | + | |'''Value''' |
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| − | </div></div>
| + | |- class="odd" |
| − | ---- | + | | TANH(0) |
| − | <div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
| + | | 0 |
| − | ----
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| − | <div id="11SpaceContent" align="left"><div class="ZEditBox mceEditable" align="justify">
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| − | <font size="5">Description</font>
| + | |- class="even" |
| | + | | TANH(1) |
| | + | | 0.7615941559557649 |
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| − | </div></div>
| + | |- class="odd" |
| − | ----
| + | | TANH(10) |
| − | <div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman"> <font size="6">TANH</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" face="Times New Roman"> </font>
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| − | '''TANH''' ('''n''')
| + | ==Related Videos== |
| | | | |
| − | '''Where ‘n’''' is any real number
| + | {{#ev:youtube|EmJKuQBEdlc|280|center|Hyperbolic TAN}} |
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| − | </div></div>
| + | ==See Also== |
| − | ----
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| − | <div id="13SpaceContent" class="zcontent" align="left"><br /><br /><div id="1Space" class="gamizbox" title="1Space"><div id="1SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="1SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="1SpaceRollupContent" align="center"></span></span></div><div id="1SpaceCover"><div id="1SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman">
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| − | The formula to calculate the hyperbolic tangent is:
| + | *[[Manuals/calci/TAN| TAN]] |
| | | | |
| − | </font></font></div></div>
| + | *[[Manuals/calci/SINH| SINH]] |
| − | ----
| |
| − | <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">TANH function returns the hyperbolic tangent of a number.</div></div>
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| − | ----
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| − | <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">
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| | | | |
| − | Lets see an example in (Column1 Row 1)
| + | *[[Manuals/calci/COSH | COSH]] |
| | | | |
| − | TANH (R)
| + | ==References== |
| | | | |
| − | TANH (C1R1)''''''
| + | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] |
| | + | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] |
| | | | |
| − | That is =TANH (-2) is -0.964
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| | | | |
| − | </font></font></div></div>
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| − | ----
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| − | <div id="6SpaceContent" class="zcontent" align="left">
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| − | {| id="TABLE3" class="SpreadSheet blue"
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| − | |- class="even"
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| − | | class=" " |
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| − | <div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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| − | | Column1
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| − | | class=" " | Column2
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| − | | class=" " | Column3
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| − | | class=" " | Column4
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| − | |- class="odd"
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| − | | class=" " | Row1
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| − | | class="sshl_f" | -2
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| − | | class="sshl_f" | -0.964
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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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| − | | class=" " | Row5
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| − | |}
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| − | <div align="left">[[Image:calci1.gif]]</div></div>
| + | *[[Z_API_Functions | List of Main Z Functions]] |
| − | ----
| + | |
| − | </div></div></div></div></div></div></div></div></div></div></div></div>
| + | *[[ Z3 | Z3 home ]] |
ie, 
or 
, where 
is the imginary unit and 
& 