let-z-C-z-lt-1-calculate-n-1-z-n-cos-n-and-n-1-z-n-sin-n-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 33583 by abdo imad last updated on 19/Apr/18

let z∈C / ∣z∣<1 calculate Σ_(n=1) ^∞ z^n cos(nθ) and Σ_(n=1) ^∞ z^n sin(nθ)

$${let}\:{z}\in{C}\:\:/\:\mid{z}\mid<\mathrm{1}\:\:{calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:{z}^{{n}} {cos}\left({n}\theta\right) \\ $$$${and}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:{z}^{{n}} \:{sin}\left({n}\theta\right) \\ $$

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