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| − | <div id=" 16SpaceContent" align="left"><div class="ZEditBox" align="justify"> | + | <div style="font-size:30px">'''SINH(x)'''</div><br/> |
| | + | * where x is any real number. |
| | + | **SINH(), returns the hyperbolic sine of a number |
| | | | |
| − | Syntax
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| − | </div></div>
| + | ==Description== |
| − | ----
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| − | <div id="2SpaceContent" align="left"><div class="ZEditBox" align="justify">
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| − | Examples
| + | *This function gives the Hyperbolic SIN of 'x'. |
| | + | *It's also called as Circular function. |
| | + | *Here <math>SINH(x)=\frac{e^x-e^{-x}}{2}</math> or <math>-iSIN(ix)</math>, where <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math> |
| | + | *The relation between Hyperbolic & Trigonometric function is <math>Sin(ix)=iSinh(x)</math> & <math>Sinh(ix)= iSin(x)</math> |
| | + | *SINH(-x) = -SINH(x) |
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| − | </div></div>
| + | == Examples == |
| − | ----
| + | '''SINH(x)''' |
| − | <div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
| + | *'''x''' is any real number. |
| − | ----
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| − | <div id="11SpaceContent" align="left"><div class="ZEditBox mceEditable" align="justify">
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| − | <font size="5">Description</font>
| + | {|id="TABLE1" class="SpreadSheet blue" |
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| − | </div></div>
| + | |- class="even" |
| − | ----
| + | |'''SINH(x)''' |
| − | <div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''' '''<font size="6"></font>''' ''''''<font size="6"></font>''' '''<font size="6"></font>''' '''<font size="6"></font>''' '''<font size="6"></font>''' '''''' '''<font size="6">SINH</font>''' '''''' </font>'''</div></div>
| + | |'''Value ''' |
| − | ----
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| − | <div id="3SpaceContent" class="zcontent" align="left"><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">
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| − | Consider n = 3 then<br />=SINH(3) gives 10.179
| + | |- class="odd" |
| | + | | SINH(0) |
| | + | | 0 |
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| − | </div></div>
| + | |- class="even" |
| − | ----
| + | | SINH(10) |
| − | <div id="6SpaceContent" class="zcontent" align="left">
| + | | 11013.23287 |
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| − | | class="sshl_f" | 10.0179
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| | |- class="odd" | | |- class="odd" |
| − | | Row6 | + | | SINH(-3) |
| − | | class=" " | | + | | -10.0178749274099 |
| − | | class=" " |
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| − | | class=" SelectTD SelectTD" |
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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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| | |} | | |} |
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| − | <div align="left"></div>''''''</div></div>
| + | ==Related Videos== |
| − | ---- | + | |
| − | <div id="5SpaceContent" class="zcontent" align="left"><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">
| + | {{#ev:youtube|Wfpb-fniSSk|280|center|Hyperbolic SIN}} |
| | + | |
| | + | ==See Also== |
| | + | |
| | + | *[[Manuals/calci/SIN| SIN]] |
| | + | |
| | + | *[[Manuals/calci/COSH| COSH]] |
| | + | |
| | + | *[[Manuals/calci/TANH | TANH]] |
| | + | |
| | + | ==References== |
| | + | |
| | + | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] |
| | + | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] |
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| − | SINH gives the hyperbolic sine of a number.
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| − | </div></div>
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| − | ----
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| − | <div id="12SpaceContent" 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">
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| − | '''SINH'''('''n''')
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| − | '''n''' is any real number.
| + | *[[Z_API_Functions | List of Main Z Functions]] |
| | | | |
| − | </div></div>
| + | *[[ Z3 | Z3 home ]] |
| − | ----
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| − | </div></div></div></div></div></div></div></div>
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or 
, where 
is the imaginary unit and 
& 