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find-s-x-n-0-sin-na-sina-n-x-n-n-and-T-x-n-0-cos-na-sina-n-x-n-n-




Question Number 30552 by abdo imad last updated on 23/Feb/18
find s(x)= Σ_(n≥0)  ((sin(na))/((sina)^n )) (x^n /(n!)) and   T(x) =Σ_(n≥0)   ((cos(na))/((sina)^n )) (x^n /(n!)) .
$${find}\:{s}\left({x}\right)=\:\sum_{{n}\geqslant\mathrm{0}} \:\frac{{sin}\left({na}\right)}{\left({sina}\right)^{{n}} }\:\frac{{x}^{{n}} }{{n}!}\:{and}\: \\ $$$${T}\left({x}\right)\:=\sum_{{n}\geqslant\mathrm{0}} \:\:\frac{{cos}\left({na}\right)}{\left({sina}\right)^{{n}} }\:\frac{{x}^{{n}} }{{n}!}\:. \\ $$

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