Question Number 73828 by ajfour last updated on 16/Nov/19 Commented by ajfour last updated on 17/Nov/19 $${If}\:{on}\:{each}\:{face}\:{of}\:{the}\:{larger}\:{cube} \\ $$$${there}\:{is}\:\left({at}\:{least}\right)\:{one}\:{corner}\:{of}\: \\ $$$${the}\:{inner}\:{cube},\:{then} \\ $$$${find}\:{minimum}\:{value}\:{of}\:{ratio}\:{r}. \\ $$$$\:{r}=\frac{{s}}{{a}}\:=\:\frac{{edge}\:{length}\:{of}\:{inner}\:{cube}}{{edge}\:{length}\:{of}\:{outer}\:{cube}}\:.…
Question Number 8289 by rhm last updated on 07/Oct/16 $${what}\:{is}\:{value} \\ $$$${sin}\:\mathrm{36}° \\ $$$${plese}\:{give}\:{me}\:{answer} \\ $$ Commented by rhm last updated on 07/Oct/16 $${sir}\:{answer} \\…
Question Number 8287 by lepan last updated on 06/Oct/16 $${Show}\:{that}\:{tan}\left(\alpha+\beta\right)=\frac{{tan}\alpha+{tan}\beta}{\mathrm{1}−{tan}\alpha{tan}\beta}. \\ $$ Answered by ridwan balatif last updated on 06/Oct/16 $$\mathrm{tan}\left(\alpha+\beta\right)=\frac{\mathrm{sin}\left(\alpha+\beta\right)}{\mathrm{cos}\left(\alpha+\beta\right)} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{sin}\alpha\mathrm{cos}\beta+\mathrm{sin}\beta\mathrm{cos}\alpha}{\mathrm{cos}\alpha\mathrm{cos}\beta−\mathrm{sin}\alpha\mathrm{sin}\beta} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\left(\mathrm{sin}\alpha\mathrm{cos}\beta+\mathrm{sin}\beta\mathrm{cos}\alpha\right).\left(\frac{\mathrm{1}}{\mathrm{cos}\alpha\mathrm{cos}\beta}\right)}{\left(\mathrm{cos}\alpha\mathrm{cos}\beta−\mathrm{sin}\alpha\mathrm{sin}\beta\right).\left(\frac{\mathrm{1}}{\mathrm{cos}\alpha\mathrm{cos}\beta}\right)}…
Question Number 139359 by Dwaipayan Shikari last updated on 26/Apr/21 $$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\left(\mathrm{6}{n}\right)!} \\ $$ Commented by Dwaipayan Shikari last updated on 28/Apr/21 $$\frac{{cosh}\left(\mathrm{1}\right)+\mathrm{2}{cosh}\left(\frac{\mathrm{1}}{\mathrm{2}}\right){cos}\left(\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\right)}{\mathrm{3}} \\…
Question Number 139353 by mohammad17 last updated on 26/Apr/21 $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} {sin}^{\mathrm{6}} \theta\:{cos}^{\mathrm{4}} \theta\:{d}\theta \\ $$ Answered by Dwaipayan Shikari last updated on 26/Apr/21 $$\int_{\mathrm{0}}…
Question Number 73818 by rajesh4661kumar@gmail.com last updated on 16/Nov/19 Commented by Tinku Tara last updated on 16/Nov/19 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{post}\:\mathrm{a}\:\mathrm{clear}\:\mathrm{image}. \\ $$ Answered by Tanmay chaudhury last…
Question Number 139352 by 676597498 last updated on 26/Apr/21 Commented by 676597498 last updated on 26/Apr/21 $${pls}\:{Mr}.\:{W}..{help}\:{you}\:{bro} \\ $$$$ \\ $$$$ \\ $$ Terms of…
Question Number 8282 by tawakalitu last updated on 06/Oct/16 $$\mathrm{Find}\:\mathrm{x},\:\mathrm{y}\:\mathrm{in}\:\mathbb{R} \\ $$$$\begin{cases}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{1}}\\{\mathrm{x}^{\mathrm{8}} \:+\:\mathrm{y}^{\mathrm{8}} \:=\:\mathrm{x}^{\mathrm{10}} \:+\:\mathrm{y}^{\mathrm{10}} }\end{cases} \\ $$ Commented by Rasheed Soomro last…
Question Number 139355 by Dwaipayan Shikari last updated on 26/Apr/21 $$\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{{F}\left({an}\right)}{\left({an}\right)!}\:\:\:\:\:\:\:\:{F}\left({n}\right):={Fibbonacci}\:{Number} \\ $$ Commented by Dwaipayan Shikari last updated on 26/Apr/21 $${a}\:{is}\:{any}\:{kind}\:{of}\:{Number}\: \\…
Question Number 73816 by TawaTawa last updated on 16/Nov/19 Commented by mr W last updated on 16/Nov/19 $$\frac{{a}+{b}}{\mathrm{2}}−{b}={b} \\ $$$$\Rightarrow{a}=\mathrm{3}{b} \\ $$$$\Rightarrow\frac{{a}}{{b}}=\mathrm{3} \\ $$ Commented…