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Category: Trigonometry

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Question Number 117606 by TANMAY PANACEA last updated on 12/Oct/20 findsina+sin(a+b)+sin(a+2b)++..+sin{a+(n1)b} Answered by Dwaipayan Shikari last updated on 12/Oct/20 $$\frac{\mathrm{1}}{\mathrm{2}{sin}\frac{{b}}{\mathrm{2}}}\left(\mathrm{2}{sinasin}\frac{{b}}{\mathrm{2}}+\mathrm{2}{sin}\left({a}+{b}\right){sin}\frac{{b}}{\mathrm{2}}+…..\mathrm{2}{sin}\left({a}+\left({n}−\mathrm{1}\right){b}\right){sin}\frac{{b}}{\mathrm{2}}\right) \

Question-117259

Question Number 117259 by bemath last updated on 10/Oct/20 Answered by Dwaipayan Shikari last updated on 10/Oct/20 tanα+tanβ=3tanαtanβ=3tan(α+β)=tanα+tanβ1tanαtanβ=34$${sin}\left(\alpha+\beta\right)=\frac{\mathrm{3}}{\mathrm{5}}\:,{cos}\left(\alpha+\beta\right)=\frac{\mathrm{4}}{\mathrm{5}} \