Question Number 48526 by Pk1167156@gmail.com last updated on 25/Nov/18 $$\mathrm{The}\:\mathrm{maximum}\:\mathrm{and}\:\mathrm{minimum}\:\mathrm{values} \\ $$$$\mathrm{of}\:\:\:{a}\:\mathrm{cos}\:\mathrm{2}\theta+\:{b}\:\mathrm{sin}\:\mathrm{2}\theta\:\:\mathrm{are} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 25/Nov/18 $${a}={rsin}\alpha\:\:\:{b}={rcos}\alpha \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}}…
Question Number 48524 by Pk1167156@gmail.com last updated on 25/Nov/18 $$\mathrm{Prime}\:\mathrm{numbers}\:\mathrm{differing}\:\mathrm{by}\:\mathrm{2}\:\mathrm{are} \\ $$$$\mathrm{called}\:\_\_\_\_\_. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 113991 by deepraj123 last updated on 16/Sep/20 $$\mathrm{If}\:\:\mathrm{in}\:\mathrm{a}\:\bigtriangleup{ABC},\:\frac{{a}^{\mathrm{2}} −{b}^{\mathrm{2}} }{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }\:=\:\frac{\mathrm{sin}\:\left({A}−{B}\right)}{\mathrm{sin}\:\left({A}+{B}\right)}\:, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{is} \\ $$ Commented by som(math1967) last updated on 16/Sep/20…
Question Number 113986 by deepraj123 last updated on 16/Sep/20 $$\mathrm{The}\:\mathrm{solution}\:\mathrm{set}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{4}\:\mathrm{sin}\:\theta\:\mathrm{cos}\:\theta−\mathrm{2}\:\mathrm{cos}\:\theta−\mathrm{2}\:\sqrt{\mathrm{3}}\:\mathrm{sin}\:\theta+\sqrt{\mathrm{3}}\:=\mathrm{0} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{interval}\:\:\left(\mathrm{0},\:\mathrm{2}\pi\right)\:\:\mathrm{is} \\ $$ Answered by MJS_new last updated on 16/Sep/20 $$\mathrm{let}\:{t}=\mathrm{tan}\:\frac{\theta}{\mathrm{2}}\:\Leftrightarrow\:\theta=\mathrm{2arctan}\:{t} \\…
Question Number 113981 by deepraj123 last updated on 16/Sep/20 $$\mathrm{The}\:\mathrm{smallest}\:\mathrm{positive}\:\mathrm{root}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\:\mathrm{tan}\:{x}−{x}=\mathrm{0},\:\mathrm{lies}\:\mathrm{in} \\ $$ Answered by MJS_new last updated on 16/Sep/20 $$\mathrm{tan}\:{x}\:={x}\:\Rightarrow\:\mathrm{smallest}\:\mathrm{solution}\:>\mathrm{0}\:\mathrm{is} \\ $$$${x}\approx\mathrm{4}.\mathrm{49341} \\…
Question Number 113848 by deepraj123 last updated on 15/Sep/20 $$\mathrm{In}\:\mathrm{a}\:\bigtriangleup{ABC},\:\Sigma\:{a}^{\mathrm{2}} \left(\mathrm{sin}^{\mathrm{2}} {B}\:−\mathrm{sin}^{\mathrm{2}} {C}\right)\:= \\ $$ Answered by 1549442205PVT last updated on 16/Sep/20 $$\mathrm{We}\:\mathrm{have}\:\Sigma\mathrm{a}^{\mathrm{2}} \left(\mathrm{sin}^{\mathrm{2}} \mathrm{B}−\mathrm{sin}^{\mathrm{2}}…
Question Number 113849 by ShakaLaka last updated on 15/Sep/20 $$\mathrm{A}\:\mathrm{cricket}\:\mathrm{club}\:\mathrm{has}\:\mathrm{15}\:\mathrm{members},\:\mathrm{of}\:\mathrm{whom} \\ $$$$\mathrm{only}\:\mathrm{5}\:\mathrm{can}\:\mathrm{bowl}.\:\mathrm{If}\:\:\mathrm{the}\:\mathrm{names}\:\mathrm{of}\:\mathrm{15} \\ $$$$\mathrm{members}\:\mathrm{are}\:\mathrm{put}\:\mathrm{into}\:\mathrm{a}\:\mathrm{box}\:\mathrm{and}\:\mathrm{11}\:\mathrm{are} \\ $$$$\mathrm{drawn}\:\mathrm{at}\:\mathrm{random},\:\mathrm{then}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{of}\:\mathrm{obtaining}\:\mathrm{an}\:\mathrm{11}\:\mathrm{containing}\:\mathrm{at}\:\mathrm{least} \\ $$$$\mathrm{3}\:\mathrm{bowlers}\:\mathrm{is} \\ $$ Terms of Service…
Question Number 113846 by deepraj123 last updated on 15/Sep/20 $$\mathrm{Thr}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{tan}\:\mathrm{3}{x}=\mathrm{tan}\:\mathrm{5}{x}\:\:\mathrm{is} \\ $$ Answered by MJS_new last updated on 15/Sep/20 $${x}=\mathrm{0}+{n}\pi={n}\pi;\:{n}\in\mathbb{Z} \\ $$ Answered…
Question Number 113847 by deepraj123 last updated on 15/Sep/20 $$\mathrm{The}\:\mathrm{two}\:\mathrm{adjacent}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{a}\:\mathrm{cyclic} \\ $$$$\mathrm{quadrilateral}\:\mathrm{are}\:\mathrm{2}\:\mathrm{and}\:\mathrm{5}\:\mathrm{and}\:\mathrm{the} \\ $$$$\mathrm{angle}\:\mathrm{between}\:\mathrm{them}\:\mathrm{is}\:\mathrm{60}°.\:\mathrm{If}\:\mathrm{the}\:\mathrm{third} \\ $$$$\mathrm{side}\:\mathrm{is}\:\mathrm{3},\:\mathrm{the}\:\mathrm{remaining}\:\mathrm{fourth}\:\mathrm{side}\:\mathrm{is} \\ $$ Answered by 1549442205PVT last updated on 16/Sep/20…
Question Number 113842 by deepraj123 last updated on 15/Sep/20 $$\mathrm{If}\:\:\mathrm{in}\:\mathrm{a}\:\mathrm{triangle}\: \\ $$$$\:\:\:{a}\:\mathrm{cos}^{\mathrm{2}} \left(\frac{{C}}{\mathrm{2}}\right)+{c}\:\mathrm{cos}^{\mathrm{2}} \left(\frac{{A}}{\mathrm{2}}\right)=\frac{\mathrm{3}{b}}{\mathrm{2}}, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle}\:\mathrm{are}\:\mathrm{in} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com