Difference between revisions of "Manuals/calci/IMSIN"

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<div style="font-size:30px">'''IMSIN(z)'''</div><br/>
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* where z is any real number
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==Description==
  
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Syntax
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*This function gives the sin value of 'iz'.
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*Where iz is the complex number in the form of "x+iy".i.e. x&y are the real numbers.
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*'I' imaginary unit .i=sqrt(-1).
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*Also x is  called the real part & y is the imaginary patr of a complex number.
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*'COMPLEX' is the function used to convert real& imaginary numbers in to a complex number.
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*sin(x+iy) is defined by sin(x+iy)=sin(x)cosh(y)-icos(x)sinh(y)
  
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== Examples ==
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'''IMSIN(z)'''
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*'''z''' is any real number.
  
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Remarks
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{|id="TABLE1" class="SpreadSheet blue"
  
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|'''COSH(z)'''
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|'''Value(Radian)'''
  
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Examples
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| COSH(0)
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| 1
  
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| COSH(10)
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<div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
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| 11013.232920103319
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<font size="5">Description</font>
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| COSH(7)
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| COSH(7)=548.3170352
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==See Also==
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">This function calculates the sine of a complex number in a + bi or a + bj text format.</font></font></font>
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*[[Manuals/calci/COS| COS]]
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="6"> '''<font face="Arial">IMSIN</font>'''</font></div></div>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">The sine of a complex number is: </font></font></font>
 
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<font color="#484848">sin(x+yi)=sin(x)cosh (y)-cos(x)sinh (y)i</font>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">'''IMSIN'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">('''IN'''</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">)</font></font></font>
 
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">where IN</font></font></font><font color="#484848"><font face="Arial, sans-serif"><font size="2">  is the complex number .</font></font></font>
 
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| class="sshl_f" | 3.1657785132161677+-1.959601041421606i
 
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<div align="left">[[Image:calci1.gif]]</div></div>
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*[[Manuals/calci/SINH| SINH]]
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">Let's see an example.</font></font></font>
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*[[Manuals/calci/TANH | TANH]]
  
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<font color="#484848"><font face="Arial, sans-serif"><font size="2">I.e.=IMSIN(“1+2i”) is 3.16578+-1.9596i</font></font></font>
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==References==
  
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
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*[http://en.wikipedia.org/wiki/Hyperbolic_function  Hyperbolic Function]

Revision as of 00:28, 6 November 2013

IMSIN(z)


  • where z is any real number

Description

  • This function gives the sin value of 'iz'.
  • Where iz is the complex number in the form of "x+iy".i.e. x&y are the real numbers.
  • 'I' imaginary unit .i=sqrt(-1).
  • Also x is called the real part & y is the imaginary patr of a complex number.
  • 'COMPLEX' is the function used to convert real& imaginary numbers in to a complex number.
  • sin(x+iy) is defined by sin(x+iy)=sin(x)cosh(y)-icos(x)sinh(y)

Examples

IMSIN(z)

  • z is any real number.
COSH(z) Value(Radian)
COSH(0) 1
COSH(10) 11013.232920103319
COSH(7) COSH(7)=548.3170352

See Also

References

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