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Category: Algebra

prove-that-sin-16x-cot-x-1-2cos-2x-2cos-4x-2cos-6x-2cos-16x-

Question Number 97135 by  M±th+et+s last updated on 06/Jun/20 $${prove}\:{that}: \\ $$$${sin}\left(\mathrm{16}{x}\right)\:{cot}\left({x}\right)=\mathrm{1}+\mathrm{2}{cos}\left(\mathrm{2}{x}\right)+\mathrm{2}{cos}\left(\mathrm{4}{x}\right)+\mathrm{2}{cos}\left(\mathrm{6}{x}\right)+…+\mathrm{2}{cos}\left(\mathrm{16}{x}\right) \\ $$ Commented by prakash jain last updated on 07/Jun/20 $$\mathrm{cos}\:{x}=\frac{\mathrm{1}}{\mathrm{2}}\left({e}^{{ix}} +{e}^{−{ix}} \right)…

Question-31594

Question Number 31594 by Nayon.Sm last updated on 11/Mar/18 Answered by Rasheed.Sindhi last updated on 11/Mar/18 $${a}=\mathrm{0}\:\mid\:{b}=\mathrm{0}\:;\:\mathrm{No}\:\mathrm{other}\:\mathrm{integral}\:\mathrm{solution}. \\ $$$$−.−.−.−.−.−.− \\ $$$$\mathrm{If}\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} ={c}^{\mathrm{2}} \:\mathrm{then}\:\mathrm{there}\:\mathrm{exist}\:\mathrm{integers} \\…

let-p-x-1-x-x-2-n-1-x-x-2-n-C-x-1-find-the-roots-of-p-x-2-factorize-p-x-inside-C-x-

Question Number 31542 by abdo imad last updated on 09/Mar/18 $${let}\:{p}\left({x}\right)=\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} \right)^{{n}} \:−\left(\mathrm{1}−{x}+{x}^{\mathrm{2}} \right)^{{n}} \:\in{C}\left[{x}\right] \\ $$$$\left.\mathrm{1}\right)\:{find}\:{the}\:{roots}\:{of}\:{p}\left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{factorize}\:{p}\left({x}\right)\:{inside}\:{C}\left[{x}\right]. \\ $$ Terms of Service Privacy…