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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>. | + | *<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>; | | *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. | | * <math>Sin(x)=\frac{e^{ix}-e^{-ix}}{2i}</math> and <math>i^2</math>=-1. |
| | *So <math>Cis</math> abbreviates <math>Cos + i Sin</math>. | | *So <math>Cis</math> abbreviates <math>Cos + i Sin</math>. |
| | + | |
| | + | ==Examples== |
| | + | #CIS(45) = 0.5253219888177297+i 0.8509035245341184 |
| | + | #CIS(180) = -0.5984600690578581-i-0.8011526357338304 |
| | + | #CIS(90.53) = -0.838546204483341+ⅈ0.5448304901036493 |
| | + | |
| | + | |
| | + | ==See Also== |
| | + | *[[Manuals/calci/SIN | SIN]] |
| | + | *[[Manuals/calci/COS | COS ]] |
| | + | |
| | + | |
| | + | ==References== |
| | + | [http://mathworld.wolfram.com/Cis.html Complex Exponential] |