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<math>\cos{\theta}=\frac{e^{j\theta}+e^{-j\theta}}{2}</math> | <math>\cos{\theta}=\frac{e^{j\theta}+e^{-j\theta}}{2}</math> | ||
| + | |||
| + | <math>\sin{\theta}=\frac{e^{j\theta}-e^{-j\theta}}{2j}</math> | ||
Revision as of 18:05, 9 September 2008
Phasors
$ x(t)=Ae^{j\theta+\phi} $
Where A is the radius of the phasor and $ \phi $ if the offset.
Useful Phasors Facts
$ e^{j\theta} = \cos{\theta}+j\sin{\theta} $
$ Ae^{j[\theta+\phi]}=Ae^{j\theta}e^{j\phi} $
$ \cos{\theta}=\frac{e^{j\theta}+e^{-j\theta}}{2} $
$ \sin{\theta}=\frac{e^{j\theta}-e^{-j\theta}}{2j} $
