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516 bytes added ,  21:03, 10 December 2018
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*This function gives the CIS value.
 
*This function gives the CIS value.
 
*CIS  is another name for the complex exponential.  
 
*CIS  is another name for the complex exponential.  
*<math>Cis(x)=e^{ix}=Cosx+i Sinx</math>, where <math>Cos</math> is the <math>Cosine</math> function,<math>i</math> is the imaginary unit and <math>Sin</math> is the <math>Sine</math>.  
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*<math>Cis(x)=e^{ix}=Cosx+i Sinx</math>, where <math>Cos</math> is the <math>Cosine</math> function,<math>i</math> is the imaginary unit and <math>Sin</math> is the <math>Sine</math> function.  
*Also<math> Cos(x)= \frac{e^{ix}+e^{-ix}}{2}</math>;<math>Sin(x)=\frac{e^{ix}-e^{-ix}}{2i}</math> and <math>i^2</math>=-1.
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*Also <math> Cos(x)= \frac{e^{ix}+e^{-ix}}{2}</math>;
*So "Cis" abbreviates "Cos + i Sin".
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* <math>Sin(x)=\frac{e^{ix}-e^{-ix}}{2i}</math> and <math>i^2</math>=-1.
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*So <math>Cis</math> abbreviates <math>Cos + i Sin</math>.
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==Examples==
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#CIS(45) = 0.5253219888177297+i 0.8509035245341184
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#CIS(180) = -0.5984600690578581-i-0.8011526357338304
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#CIS(90.53) = -0.838546204483341+ⅈ0.5448304901036493
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==Related Videos==
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{{#ev:youtube|v=qjT3XvS7Qno|280|center|Complex Exponential}}
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==See Also==
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*[[Manuals/calci/SIN | SIN]]
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*[[Manuals/calci/COS  | COS ]]
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==References==
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[http://mathworld.wolfram.com/Cis.html Complex Exponential]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]
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