Question Number 11167 by agni5 last updated on 15/Mar/17 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\mid\mathrm{x}+\sqrt{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)}\mid\:\mathrm{is}\:\mathrm{even}\:\mathrm{or}\:\mathrm{odd}?\: \\ $$$$\mathrm{give}\:\mathrm{reasion}. \\ $$ Answered by mrW1 last updated on 15/Mar/17 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ln}\mid\mathrm{x}+\sqrt{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)}\mid=\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)…
Question Number 11166 by chux last updated on 14/Mar/17 Commented by ridwan balatif last updated on 15/Mar/17 $$\mathrm{cos4}\theta=\mathrm{cos}\left(\mathrm{2}\theta+\mathrm{2}\theta\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2cos}^{\mathrm{2}} \mathrm{2}\theta−\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{2}\left\{\mathrm{cos}\left(\theta+\theta\right)\right\}^{\mathrm{2}} −\mathrm{1} \\…
Question Number 142229 by mathmax by abdo last updated on 28/May/21 $$\mathrm{deveopp}\:\mathrm{g}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{sin}\left(\mathrm{nx}\right)}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{series}\:\left(\mathrm{x}\neq\frac{\mathrm{k}\pi}{\mathrm{n}}\right) \\ $$ Answered by mathmax by abdo last updated on 29/May/21 $$\mathrm{g}\left(\mathrm{x}\right)=\frac{\mathrm{2i}}{\mathrm{e}^{\mathrm{inx}} −\mathrm{e}^{−\mathrm{nx}}…
Question Number 142228 by mathmax by abdo last updated on 28/May/21 $$\mathrm{developpf}\left(\mathrm{x}\right)=\frac{\mathrm{2}}{\mathrm{3}+\mathrm{cosx}}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by mathmax by abdo last updated on 28/May/21 $$\mathrm{another}\:\mathrm{way}\:\mathrm{f}\:\mathrm{is}\:\mathrm{even}\:\Rightarrow\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{a}_{\mathrm{o}} }{\mathrm{2}}\:+\sum_{\mathrm{n}=\mathrm{1}}…
Question Number 142231 by mathmax by abdo last updated on 28/May/21 $$\mathrm{find}\:\int\:\frac{\mathrm{ch}\left(\mathrm{x}\right)}{\mathrm{cosx}}\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76657 by Tony Lin last updated on 29/Dec/19 $${prove}\:{that}\:{sin}^{−\mathrm{1}} \left({tanhx}\right)={tan}^{−\mathrm{1}} \left({sinhx}\right) \\ $$ Answered by john santu last updated on 29/Dec/19 $$\left(\mathrm{1}\right)\:\mathrm{tan}\:{hx}\:=\:\mathrm{sin}\:{y} \\…
Question Number 76633 by mathmax by abdo last updated on 28/Dec/19 $${calculate}\:{cos}^{\mathrm{6}} \left(\frac{\pi}{\mathrm{8}}\right)+{cos}^{\mathrm{6}} \left(\frac{\mathrm{3}\pi}{\mathrm{8}}\right)+{cos}^{\mathrm{6}} \left(\frac{\mathrm{5}\pi}{\mathrm{8}}\right)+{cos}^{\mathrm{6}} \left(\frac{\mathrm{7}\pi}{\mathrm{8}}\right) \\ $$ Answered by MJS last updated on 28/Dec/19…
Question Number 11067 by suci last updated on 10/Mar/17 $${if}\:{E}=\left\{{f}\mid{f}:\mathbb{R}\rightarrow\mathbb{R}\:{continuous}\:{function}\:{with}\:{f}\left({x}\right)\in\mathbb{Q},\:\forall{x}\in\mathbb{R}\right\}, \\ $$$${then}\:{E}=….??? \\ $$ Commented by FilupS last updated on 10/Mar/17 $$\mathbb{Q}\:=\:\mathrm{irrational}\:\mathrm{numbers}\:\mathrm{set} \\ $$$$ \\…
Question Number 142115 by mathmax by abdo last updated on 26/May/21 $$\mathrm{simplify}\:\:\mathrm{A}_{\mathrm{n}} \left(\mathrm{x}\right)=\left(\mathrm{1}+\mathrm{ix}\right)^{\mathrm{n}} +\left(\mathrm{1}−\mathrm{ix}\right)^{\mathrm{n}} \:\:\:\mathrm{x}\:\mathrm{from}\:\mathrm{C} \\ $$ Answered by mathmax by abdo last updated on…
Question Number 10987 by Joel576 last updated on 05/Mar/17 $$\mathrm{If}\: \\ $$$$\bullet\:{f}\left(\mathrm{2}{x}\:+\:\mathrm{1}\right)\:+\:{g}\left(\mathrm{3}\:−\:{x}\right)\:=\:{x} \\ $$$$\bullet\:{f}\left(\frac{\mathrm{3}{x}\:+\:\mathrm{5}}{\:{x}\:+\:\mathrm{1}}\right)\:+\:\mathrm{2}{g}\left(\frac{\mathrm{2}{x}\:+\:\mathrm{1}}{{x}\:+\:\mathrm{1}}\right)\:=\:\frac{{x}}{{x}\:+\:\mathrm{1}} \\ $$$$\mathrm{for}\:\mathrm{every}\:{x}\:\in\:\mathbb{R},\:\:{x}\:\neq\:−\mathrm{1} \\ $$$$\mathrm{Find}\:{f}\left({x}\right)\:!! \\ $$ Answered by ajfour last updated…