Complex Number Identities and Formulas | |
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Euler's Formula and Related Equalities | |
Euler's formula | $ e^{jw_0t}=\cos w_0t+j\sin w_0t $ |
Cosine function in terms of complex exponentials | $ \cos\theta=\frac{e^{j\theta}+e^{-j\theta}}{2} $ |
Sine function in terms of complex exponentials | $ \sin\theta=\frac{e^{j\theta}-e^{-j\theta}}{2j} $ |
Trigonometric Identities | |
note/name | identity |
note/name | identity |