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Exponential Fourier series

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Definition Fourier series \(\begin{flalign*} & f(t) = \sum^\infty_{-\infty}c_ne^{jn\omega t} && \end{flalign*}\)

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Trigonometric addition formula

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Formulas \(\begin{align} \cos(a-b) = \cos{a}\cos{b} + \sin{a}\sin{b} \\ \cos(a+b) = \cos{a}\cos{b} - \sin{a}\sin{b} \\ \sin(a+b) = \sin{a}\cos{b} + \cos{a}\s...