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Question Number 29847 by abdo imad last updated on 12/Feb/18

θ ∈]0,π[   find he values of  Σ_(n=1) ^∞  (1/n)cos(nθ) and  Σ_(n=1) ^∞  (1/n)sin(nθ) .

$$\left.\theta\:\in\right]\mathrm{0},\pi\left[\:\:\:{find}\:{he}\:{values}\:{of}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{{n}}{cos}\left({n}\theta\right)\:{and}\right. \\ $$$$\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{{n}}{sin}\left({n}\theta\right)\:. \\ $$

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