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Question Number 168878 by bounhome last updated on 20/Apr/22 $${solve}:\:\:{x}^{\mathrm{2019}} +{x}^{\mathrm{2020}} +{x}^{\mathrm{2021}} +{x}^{\mathrm{2022}} =\mathrm{4} \\ $$ Commented by bagjagugum123 last updated on 20/Apr/22 $${x}=\mathrm{1} \\…
Question Number 168856 by MWSuSon last updated on 19/Apr/22 $$\mathrm{Re}\left(\mathrm{2}+\mathrm{e}^{\mathrm{i}\alpha\mathrm{t}} \right)? \\ $$ Answered by MJS_new last updated on 19/Apr/22 $$\mathrm{2}+\mathrm{e}^{\mathrm{i}\alpha{t}} =\mathrm{2}+\mathrm{cos}\:\alpha{t}\:+\mathrm{i}\:\mathrm{sin}\:\alpha{t} \\ $$$$\mathrm{easy},\:\mathrm{ain}'\mathrm{t}\:\mathrm{it}? \\…
Question Number 103322 by abony1303 last updated on 14/Jul/20 $$\mathrm{A}\:\mathrm{differentiable}\:\mathrm{function}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{satisfies} \\ $$$$\mathrm{f}\left(\mathrm{x}^{\mathrm{3}} −\mathrm{x}^{\mathrm{2}} +\mathrm{x}\right)=\mathrm{2}^{\mathrm{x}+\mathrm{1}} \:\:\mathrm{for}\:\mathrm{every}\:\mathrm{real}\:\mathrm{number}\:{x}. \\ $$$$\mathrm{When}\:\mathrm{g}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{the}\:\mathrm{inverse}\:\mathrm{function}\:\mathrm{of}\:\mathrm{f}\left(\mathrm{x}\right), \\ $$$$\mathrm{find}\:\mathrm{g}'\left(\mathrm{4}\right)? \\ $$ Commented by abony1303 last…
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Question Number 168832 by leicianocosta last updated on 18/Apr/22 Commented by leicianocosta last updated on 18/Apr/22 $$ \\ $$2¹ = 2 2² = 4 2³…
Question Number 103299 by B. H 28 last updated on 14/Jul/20 $${cos}\mathrm{20}°{cos}\mathrm{40}°{cos}\mathrm{80}°=…? \\ $$ Answered by bemath last updated on 14/Jul/20 $$\frac{\mathrm{1}}{\mathrm{4}}\:\mathrm{cos}\:\mathrm{3}\theta\:=\:\frac{\mathrm{1}}{\mathrm{4}}×\mathrm{cos}\:\mathrm{3}.\mathrm{20}^{{o}} =\frac{\mathrm{1}}{\mathrm{4}}×\frac{\mathrm{1}}{\mathrm{2}}\:=\:\frac{\mathrm{1}}{\mathrm{8}} \\ $$…
Question Number 37750 by kunal1234523 last updated on 17/Jun/18 $$\mathrm{Given}\:\mathrm{the}\:\mathrm{angle}\:{x},\:\mathrm{construct}\:\mathrm{the}\:\mathrm{angle}\:{y}\:\mathrm{if}\: \\ $$$$\left(\mathrm{1}\right)\:\mathrm{sin}\:{y}\:=\:\mathrm{2}\:\mathrm{sin}\:{x} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{tan}\:{y}\:=\:\mathrm{3}\:\mathrm{tan}\:{x} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{cos}\:{y}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{cos}\:{x}\: \\ $$$$\left(\mathrm{4}\right)\:\mathrm{sec}\:{y}\:=\:\mathrm{cosec}\:{x} \\ $$$$\mathrm{hey}\:\mathrm{do}\:\mathrm{not}\:\mathrm{construct}\:\mathrm{it}\:\mathrm{just}\:\mathrm{find}\:\mathrm{it}\:\mathrm{out}\:\mathrm{the}\:\angle{y}\: \\ $$$$\mathrm{for}\:\mathrm{the}\:\mathrm{every}\:\mathrm{given}\:\mathrm{cases} \\ $$ Commented…
Question Number 37738 by kunal1234523 last updated on 17/Jun/18 $$\mathrm{given}\:{a}^{\mathrm{2}} <\mathrm{1} \\ $$$$\mathrm{now} \\ $$$${a}<\sqrt{\mathrm{1}} \\ $$$$\mathrm{or}\:{a}<\pm\mathrm{1} \\ $$$$\therefore\:{a}<\mathrm{1}\:\mathrm{and}\:{a}<−\mathrm{1}\:\:\:\:\mathrm{but}\:\mathrm{but}\:\mathrm{its}\:\mathrm{false}\:\mathrm{we}\:\mathrm{know} \\ $$$${if}\:\mathrm{a}^{\mathrm{2}} <\mathrm{1}\:\mathrm{so}\:−\mathrm{1}<{a}<\mathrm{1}\: \\ $$$${so}\:{my}\:{question}\:{is}\:{why}\:{this}\:{is}\:{happening}\:{at}\:{all}. \\…