Difference between revisions of "Manuals/calci/SINH"

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<div style="font-size:30px">'''SINH(z)'''</div><br/>
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<div style="font-size:30px">'''SINH(x)'''</div><br/>
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* where z is any real number
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* where x is any real number.
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==Description==
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**SINH(), returns the hyperbolic sine of a number
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Consider &nbsp;&nbsp;&nbsp; '''x = -0.8'''&nbsp;&nbsp;&nbsp;  then &nbsp;&nbsp;&nbsp;  '''=ATAN(0.8)'''&nbsp;&nbsp;&nbsp; gives &nbsp;&nbsp;&nbsp;'''0.67474094''' <br/>
 
  
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*This function gives the hyperbolic sin of 'z'.
 
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*Also it is called as circular function.
 
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* Here SINH=(e^z-e^-z)/2 or -iSIN iz, where 'i' is the imginary unit and i=sqrt(-1).
 
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*Also relation between hyperbolic & trigonometric function is sin(iz)=isinhz & sinh(iz)= isinz
 
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*SINH(-Z)=-SINHZ
 
  
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==Description==
  
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*This function gives the Hyperbolic SIN of 'x'.
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*It's also called as Circular function.
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*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>
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*The relation between Hyperbolic & Trigonometric function is <math>Sin(ix)=iSinh(x)</math> & <math>Sinh(ix)= iSin(x)</math>
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*SINH(-x) = -SINH(x)
  
 
== Examples ==
 
== Examples ==
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'''SINH(z)'''
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'''SINH(x)'''
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*'''z''' is any real number.
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*'''x''' is any real number.
  
 
{|id="TABLE1" class="SpreadSheet blue"
 
{|id="TABLE1" class="SpreadSheet blue"
  
 
|- class="even"
 
|- class="even"
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|'''SINH(z)'''
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|'''SINH(x)'''
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|'''Value(Radian)'''
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|'''Value '''
  
 
|- class="odd"
 
|- class="odd"
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|- class="even"
 
|- class="even"
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| SINH(10))
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| SINH(10)
 
| 11013.23287
 
| 11013.23287
  
 
|- class="odd"
 
|- class="odd"
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| SINH(-3))
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| SINH(-3)
 
| -10.0178749274099
 
| -10.0178749274099
 
|}
 
|}
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==Related Videos==
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{{#ev:youtube|Wfpb-fniSSk|280|center|Hyperbolic SIN}}
  
 
==See Also==
 
==See Also==
  
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*[[Manuals/calci/TAN | TAN]]
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*[[Manuals/calci/SIN| SIN]]
  
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*[[Manuals/calci/DTAN | DTAN]]
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*[[Manuals/calci/COSH| COSH]]
  
 
*[[Manuals/calci/TANH | TANH]]
 
*[[Manuals/calci/TANH | TANH]]
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
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*[http://en.wikipedia.org/wiki/Sine ATAN]
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*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 15:26, 3 July 2018

SINH(x)


  • where x is any real number.
    • SINH(), returns the hyperbolic sine of a number


Description

  • This function gives the Hyperbolic SIN of 'x'.
  • It's also called as Circular function.
  • Here or , where is the imaginary unit and
  • The relation between Hyperbolic & Trigonometric function is &
  • SINH(-x) = -SINH(x)

Examples

SINH(x)

  • x is any real number.
SINH(x) Value
SINH(0) 0
SINH(10) 11013.23287
SINH(-3) -10.0178749274099

Related Videos

Hyperbolic SIN

See Also

References



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