Question Number 22348 by Tinkutara last updated on 16/Oct/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{all}\:\mathrm{the}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\mathrm{1}\:+\:\mathrm{2}\:\mathrm{cosec}\:{x}\:=\:−\frac{\mathrm{sec}^{\mathrm{2}} \:\frac{{x}}{\mathrm{2}}}{\mathrm{2}}\:\mathrm{in} \\ $$$$\mathrm{the}\:\mathrm{interval}\:\left[\mathrm{0},\:\mathrm{4}\pi\right]\:\mathrm{is}\:{n}\pi,\:\mathrm{where}\:{n}\:\mathrm{is} \\ $$$$\mathrm{equal}\:\mathrm{to} \\ $$ Answered by ajfour last updated on…
Question Number 22268 by Sanjay Deore last updated on 14/Oct/17 $$\mathrm{if}\:\mathrm{tanx}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\:\mathrm{or}\:\mathrm{other}\:\left(\mathrm{except}\:\mathrm{standard}\:\right. \\ $$$$\left.\mathrm{values}\right)\:\mathrm{how}\:\mathrm{to}\:\mathrm{find}\:\mathrm{x} \\ $$ Commented by $@ty@m last updated on 14/Oct/17 $${using}\:{trigonometric}\:{tables} \\ $$…
Question Number 22116 by ajfour last updated on 11/Oct/17 Commented by ajfour last updated on 11/Oct/17 $${to}\:{prove}\::\:\:\left({b}+{c}\right)^{\mathrm{2}} \:\geqslant\:{a}^{\mathrm{2}} +\mathrm{4}{h}_{{a}} ^{\mathrm{2}} \:. \\ $$$${see}\:\:\:{Q}.\mathrm{22079}\:\: \\ $$…
Question Number 87624 by john santu last updated on 05/Apr/20 $$\mathrm{find}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{cos}\:^{\mathrm{2}} \mathrm{w}\:+ \\ $$$$\mathrm{sec}\:^{\mathrm{2}} \mathrm{w}\: \\ $$ Commented by john santu last updated on 05/Apr/20…
Question Number 153152 by puissant last updated on 05/Sep/21 $$\int\:\sqrt{{x}^{\mathrm{3}} +\mathrm{1}}\:{dx} \\ $$ Answered by peter frank last updated on 05/Sep/21 $$\mathrm{u}=\sqrt{\mathrm{x}^{\mathrm{3}} +\mathrm{1}} \\ $$$$\mathrm{u}^{\mathrm{2}}…
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Question Number 153050 by DELETED last updated on 04/Sep/21 Answered by DELETED last updated on 04/Sep/21 $$\mathrm{M}\overset{+\mathrm{4}} {\mathrm{n}}\overset{−\mathrm{2}} {\mathrm{O}}_{\mathrm{2}} \rightarrow\Sigma\mathrm{biloks}=\mathrm{0}\: \\ $$$$\mathrm{Mn}+\left(−\mathrm{2}×\mathrm{2}\right)=\mathrm{0}\:\rightarrow\mathrm{Mn}−\mathrm{4}=\mathrm{0} \\ $$$$\mathrm{Mn}=+\mathrm{4}\: \\…
Question Number 87505 by Ar Brandon last updated on 04/Apr/20 Commented by MJS last updated on 04/Apr/20 $$\mathrm{the}\:\mathrm{same}\:\mathrm{old}\:\mathrm{question}\:\mathrm{the}\:\mathrm{1}.\mathrm{000}.\mathrm{000}.\mathrm{000th} \\ $$$$\mathrm{time}. \\ $$$$\mathrm{the}\:\mathrm{cable}\:\mathrm{hangs}\:\mathrm{down}\:\mathrm{40}\:\mathrm{meters}\:\mathrm{from}\:\mathrm{each} \\ $$$$\mathrm{pole}.\:\mathrm{if}\:\mathrm{the}\:\mathrm{cable}\:\mathrm{is}\:\mathrm{80}\:\mathrm{meters}\:\mathrm{long},\:\mathrm{there}'\mathrm{s} \\…
Question Number 87488 by jagoll last updated on 04/Apr/20 $$\mathrm{sin}\:^{\mathrm{4}} \mathrm{x}\:+\:\mathrm{sin}\:^{\mathrm{4}} \left(\mathrm{x}+\frac{\pi}{\mathrm{4}}\right)\:=\:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\mathrm{x}\:\in\:\left[\:\mathrm{0},\mathrm{2}\pi\:\right]\: \\ $$ Commented by john santu last updated on 05/Apr/20 $$\left(\mathrm{2sin}^{\mathrm{2}}…