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Category: Mensuration

Question-48982

Question Number 48982 by peter frank last updated on 30/Nov/18 Answered by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18 $$\left.\mathrm{2}\right)\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}={sin}\left(\frac{\pi}{\mathrm{6}}\right)\:\:\:\frac{\mathrm{1}}{\mathrm{2}}={cos}\left(\frac{\pi}{\mathrm{6}}\right) \\ $$$${e}^{{i}\theta} ={cos}\theta+{isin}\theta\:\leftarrow{demoivers}\:{theorem} \\ $$$${e}^{−{i}\theta} ={cos}\theta−{isin}\theta \\…

Question-48920

Question Number 48920 by peter frank last updated on 30/Nov/18 Answered by tanmay.chaudhury50@gmail.com last updated on 30/Nov/18 $${y}={e}^{−\mathrm{2}{mx}} {sin}\mathrm{4}{mx} \\ $$$$\frac{{dy}}{{dx}}={e}^{−\mathrm{2}{mx}} ×\mathrm{4}{mcos}\mathrm{4}{mx}−\mathrm{2}{me}^{−\mathrm{2}{mx}} {sin}\mathrm{4}{mx} \\ $$$$\frac{{dy}}{{dx}}=\mathrm{4}{me}^{−\mathrm{2}{mx}}…

Question-48501

Question Number 48501 by peter frank last updated on 24/Nov/18 Answered by Abdulhafeez Abu qatada last updated on 25/Nov/18 $$ \\ $$$$\left(\frac{{df}}{{dx}}\right)_{{y}} \:=\:\mathrm{sin}{x}\left(\mathrm{sin}\left({x}+{y}\right)\mathrm{cos}{y}\:+\:\mathrm{cos}\left({x}+{y}\right)\mathrm{sin}{y}\right) \\ $$$$\left(\frac{{df}}{{dx}}\right)_{{y}}…

Question-179088

Question Number 179088 by cortano1 last updated on 24/Oct/22 Answered by mr W last updated on 24/Oct/22 $$\boldsymbol{{Method}}\:\mathrm{1} \\ $$$$\mathrm{cos}\:\alpha=\frac{\mathrm{7}}{{R}} \\ $$$${R}^{\mathrm{2}} −\mathrm{7}^{\mathrm{2}} =\mathrm{58}^{\mathrm{2}} +\mathrm{92}^{\mathrm{2}}…