Question Number 60849 by Kunal12588 last updated on 26/May/19 $${For}\:{all}\:\theta\:{in}\:\left[\mathrm{0},\:\pi/\mathrm{2}\right]\:{show}\:{that}\:{cos}\left({sin}\theta\right)\geqslant{sin}\left({cos}\theta\right). \\ $$ Commented by Prithwish sen last updated on 26/May/19 $$\mathrm{when}\:\theta\in\left[\mathrm{0},\frac{\pi}{\mathrm{2}}\:\right] \\ $$$$\mathrm{sin}\theta\:\mathrm{and}\:\mathrm{cos}\theta\:\mathrm{lies}\:\mathrm{between}\:\mathrm{0}\:\mathrm{to}\:\mathrm{1} \\ $$$$\therefore\:\mathrm{For}\:\alpha\in\left[\mathrm{0},\mathrm{1}\right]…
Question Number 126383 by Lordose last updated on 20/Dec/20 $$\mathrm{Evaluate}\:\Omega\:\mathrm{if} \\ $$$$\:\:\:\:\:\Omega\:=\:\int_{\mathrm{0}} ^{\:\infty} \frac{\mathrm{cos}\left(\mathrm{mx}\right)}{\mathrm{x}^{\mathrm{4}} +\mathrm{x}^{\mathrm{2}} +\mathrm{1}}\mathrm{dx} \\ $$ Answered by mathmax by abdo last updated…
Question Number 126381 by liberty last updated on 20/Dec/20 $$\:\mathrm{arctan}\:\mathrm{1}\:+\:\mathrm{arctan}\:\mathrm{2}\:+\:\mathrm{arctan}\:\mathrm{3}\:=? \\ $$ Answered by benjo_mathlover last updated on 20/Dec/20 $$\left(\bullet\right)\:\mathrm{arctan}\:\mathrm{1}+\mathrm{arctan}\:\mathrm{2}=\mathrm{arctan}\:\left(\frac{\mathrm{1}+\mathrm{2}}{\mathrm{1}−\mathrm{1}.\mathrm{2}}\right) \\ $$$$\:\mathrm{arctan}\:\left(−\mathrm{3}\right) \\ $$$$\left(\bullet\bullet\right)\:\mathrm{arctan}\:\left(−\mathrm{3}\right)+\mathrm{arctan}\:\left(\mathrm{3}\right)=\mathrm{arctan}\:\left(\frac{−\mathrm{3}+\mathrm{3}}{\mathrm{1}−\left(−\mathrm{3}\right)\left(\mathrm{3}\right)}\right) \\…
Question Number 126378 by benjo_mathlover last updated on 20/Dec/20 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:{x}−\mathrm{cos}\:\mathrm{3}{x}+{x}^{\mathrm{3}} \mathrm{cos}\:\left(\frac{\pi}{{x}}\right)}{{x}^{\mathrm{2}} }? \\ $$ Answered by liberty last updated on 20/Dec/20 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:{x}−\mathrm{cos}\:\mathrm{3}{x}}{{x}^{\mathrm{2}} }+\underset{{x}\rightarrow\mathrm{0}}…
Question Number 126376 by benjo_mathlover last updated on 20/Dec/20 $$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\mathrm{1}+\mathrm{3}{x}\right)^{−\frac{\mathrm{5}}{{x}}} \:? \\ $$ Answered by liberty last updated on 20/Dec/20 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\mathrm{1}+\mathrm{3}{x}\right)^{−\frac{\mathrm{5}}{{x}}} =\:{e}^{\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\mathrm{1}+\mathrm{3}{x}−\mathrm{1}\right)\left(−\frac{\mathrm{5}}{{x}}\right)}…
Question Number 126369 by I want to learn more last updated on 19/Dec/20 $$\int\:\frac{\mathrm{tan}\left(\mathrm{x}\right)}{\mathrm{x}}\:\:\mathrm{dx} \\ $$ Answered by Olaf last updated on 20/Dec/20 $$\mathrm{I}\:\mathrm{believe}\:\mathrm{the}\:\mathrm{only}\:\mathrm{way}\:\mathrm{to}\:\mathrm{handle}\:\mathrm{this} \\…
Question Number 191901 by mehdee42 last updated on 03/May/23 $${if}\:\:\mathrm{0}<\theta<\mathrm{45}^{\mathrm{0}} \:\:{which}\:{is}\:{bigger}\:? \\ $$$$\mathrm{2}{tan}\theta\:\:{or}\:\:{tan}\mathrm{2}\theta \\ $$ Answered by mr W last updated on 03/May/23 Commented by…
Question Number 191897 by sciencestudentW last updated on 03/May/23 $${if}\:{we}\:{combine}\:\mathrm{100}{gr}\:{Na}\:{with}\:\mathrm{180}\:{Cl}_{\mathrm{2}} \\ $$$${then}\:{how}\:{much}\:{NaCl}\:{will}\:{produce}? \\ $$ Answered by Subhi last updated on 03/May/23 $$\mathrm{252}.\mathrm{17}\:{g} \\ $$$$ \\…
Question Number 126363 by ajfour last updated on 19/Dec/20 $${x}^{\mathrm{3}} −{x}−{c}=\mathrm{0}\:\:\:\:\:\:\:;\:\:\:\:\left[{c}<\mathrm{2}/\left(\mathrm{3}\sqrt{\mathrm{3}}\right)\right] \\ $$$$\left({Solve}\:{by}\:{a}\:\:{method}\:{other}\:{than}\right. \\ $$$$\left.{trigonometric}\:{solution}\right). \\ $$ Answered by mathmax by abdo last updated on…
Question Number 126356 by A8;15: last updated on 19/Dec/20 Terms of Service Privacy Policy Contact: info@tinkutara.com