Question Number 7841 by ankursharma532 last updated on 19/Sep/16 $${tan}\Pi/\mathrm{16}=\sqrt{\mathrm{4}+\mathrm{2}\sqrt{\mathrm{2}}\:}\:−\:\left(\sqrt{\mathrm{2}}\:+\mathrm{1}\right) \\ $$ Commented by Yozzia last updated on 19/Sep/16 $${tan}\mathrm{4}{x}=\frac{\mathrm{2}{tan}\mathrm{2}{x}}{\mathrm{1}−{tan}^{\mathrm{2}} \mathrm{2}{x}} \\ $$$${Let}\:{x}=\pi/\mathrm{16}\Rightarrow{tan}\mathrm{4}{x}={tan}\frac{\pi}{\mathrm{4}}=\mathrm{1} \\ $$$$\therefore\mathrm{2}{tan}\mathrm{2}{x}=\mathrm{1}−{tan}^{\mathrm{2}}…
Question Number 7840 by Chantria last updated on 19/Sep/16 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{first}\:\mathrm{digit}\:\mathrm{after}\:\mathrm{the} \\ $$$$\mathrm{decimal}\:\mathrm{point}\:\mathrm{of}\:\mathrm{the}\:\mathrm{number}\:\frac{\mathrm{1}}{\mathrm{1009}}+\frac{\mathrm{1}}{\mathrm{1010}}+…+\frac{\mathrm{1}}{\mathrm{2016}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138909 by bramlexs22 last updated on 19/Apr/21 $$\:\int\:\frac{\mathrm{x}^{\mathrm{6}} −\mathrm{1}}{\left(\mathrm{x}^{\mathrm{3}} −\mathrm{1}\right)^{\mathrm{3}} }\:\mathrm{dx}=? \\ $$ Answered by mathmax by abdo last updated on 20/Apr/21 $$\Phi=\int\:\:\frac{\mathrm{x}^{\mathrm{6}}…
Question Number 7833 by mohitkumar88@gmail.com last updated on 18/Sep/16 $$\mathrm{3}\frac{\mathrm{3}}{\mathrm{4}}×\mathrm{2}\frac{\mathrm{2}}{\mathrm{3}}= \\ $$ Answered by Rasheed Soomro last updated on 18/Sep/16 $$\mathrm{3}\frac{\mathrm{3}}{\mathrm{4}}×\mathrm{2}\frac{\mathrm{2}}{\mathrm{3}}=\frac{\overset{\mathrm{5}} {\mathrm{15}}}{\underset{\mathrm{1}} {\mathrm{4}}}×\frac{\overset{\mathrm{2}} {\mathrm{8}}}{\underset{\mathrm{1}} {\mathrm{3}}}=\frac{\mathrm{10}}{\mathrm{1}}=\mathrm{10}…
Question Number 7831 by Chantria last updated on 18/Sep/16 Commented by prakash jain last updated on 18/Sep/16 $${S}_{{n}} =\frac{{n}+\mathrm{2}}{{n}!}+\frac{\mathrm{2}}{{k}!}+\frac{\mathrm{7}}{{k}!}+….+\frac{{n}^{\mathrm{2}} −\mathrm{2}}{{k}!}=\frac{{n}+\mathrm{2}}{{n}!}+\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{{k}^{\mathrm{2}} −\mathrm{2}}{{k}!} \\ $$$${n}^{\mathrm{2}}…
Question Number 138897 by tabata last updated on 19/Apr/21 Commented by tabata last updated on 19/Apr/21 $${prove}\:{this} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 7827 by 314159 last updated on 17/Sep/16 Commented by Yozzia last updated on 18/Sep/16 $$\bigtriangleup{ABC}\:{is}\:{isosceles}\:{with}\:{b}={c}. \\ $$$${a}\leqslant{b}+{c}=\mathrm{2}{b}=\mathrm{2}{c}\:\:\left({Triangle}\:{inequality}\right) \\ $$$${I}'{ve}\:{gotten}\:{that}\:{far}\:{in}\:{the}\:{problem}. \\ $$ Terms of…
Question Number 138896 by ajfour last updated on 19/Apr/21 Answered by ajfour last updated on 20/Apr/21 $${Let}\:{A}\:{be}\:{origin}\:{and}\:{x}\:{axis} \\ $$$${vertically}\:{down}\:{towards}\:{center} \\ $$$${of}\:{cube}. \\ $$$$−{dg}_{{x}} =\frac{\left({Gdm}\right){x}}{\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}}…
Question Number 138899 by mohammad17 last updated on 19/Apr/21 $$\int{cos}\left({ln}\left({sinx}\right)\right){dx} \\ $$ Answered by Ar Brandon last updated on 19/Apr/21 $$\mathrm{Let}\:\mathrm{u}=\mathrm{sinx} \\ $$ Terms of…
Question Number 7824 by ridwan balatif last updated on 17/Sep/16 Commented by Yozzia last updated on 17/Sep/16 $${n}×{n}!=\left({n}+\mathrm{1}−\mathrm{1}\right){n}!=\left({n}+\mathrm{1}\right)!−{n}! \\ $$$$\Rightarrow\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}{r}!{r}=\left({n}+\mathrm{1}\right)!−\mathrm{1} \\ $$ Commented…