Menu Close

Author: Tinku Tara

Show-that-3-sin2x-2cos2x-1-3sin-2-x-cos2x-2-5-2-1-tanx-

Question Number 78311 by mathocean1 last updated on 15/Jan/20 $$\mathrm{Show}\:\mathrm{that}\:\frac{\mathrm{3}+\mathrm{sin2}{x}−\mathrm{2cos2}{x}}{\mathrm{1}+\mathrm{3}{sin}^{\mathrm{2}} {x}−{cos}\mathrm{2}{x}\:}=\frac{\mathrm{2}}{\mathrm{5}}\left(\mathrm{2}+\frac{\mathrm{1}}{{tanx}}\right) \\ $$ Commented by jagoll last updated on 16/Jan/20 $$\frac{\mathrm{3}+\mathrm{2sin}\:{x}\mathrm{cos}\:{x}−\mathrm{2}\left(\mathrm{1}−\mathrm{2sin}\:^{\mathrm{2}} {x}\right)}{\mathrm{1}+\mathrm{3sin}\:^{\mathrm{2}} {x}−\left(\mathrm{1}−\mathrm{2sin}\:^{\mathrm{2}} {x}\right)}= \\…

Question-78309

Question Number 78309 by otchereabdullai@gmail.com last updated on 15/Jan/20 Answered by mind is power last updated on 15/Jan/20 $$\angle\mathrm{BAO}=\angle\mathrm{OBA}=\mathrm{90}−\mathrm{x} \\ $$$$\angle\mathrm{BOA}=\mathrm{180}−\angle\mathrm{ABO}−\angle\mathrm{OAB}=\mathrm{180}−\left(\mathrm{90}−\mathrm{x}+\mathrm{90}−\mathrm{x}\right)=\mathrm{2x} \\ $$$$ \\ $$…

The-sum-of-age-of-Hamadou-his-wife-and-theirs-son-is-100-n-years-ago-the-wife-had-the-quadruple-of-his-son-s-age-and-Hamadou-was-6-time-older-than-his-son-Determine-theirs-ages-i-want-that-yo

Question Number 78306 by mathocean1 last updated on 15/Jan/20 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{age}\:\mathrm{of}\:\mathrm{Hamadou}\:\:\: \\ $$$$\mathrm{his}\:\mathrm{wife}\:\mathrm{and}\:\mathrm{theirs}\:\mathrm{son}\:\mathrm{is}\:\mathrm{100}. \\ $$$$\mathrm{n}\:\mathrm{years}\:\mathrm{ago}\:\mathrm{the}\:\mathrm{wife}\:\mathrm{had}\:\mathrm{the}\: \\ $$$$\mathrm{quadruple}\:\mathrm{of}\:\mathrm{his}\:\mathrm{son}'\mathrm{s}\:\mathrm{age}\:\mathrm{and}\: \\ $$$$\mathrm{Hamadou}\:\mathrm{was}\:\mathrm{6}\:\mathrm{time}\:\mathrm{older}\:\mathrm{than} \\ $$$$\mathrm{his}\:\mathrm{son}. \\ $$$$\mathrm{Determine}\:\mathrm{theirs}\:\mathrm{ages}. \\ $$$$ \\…

sec-x-tan-2-x-dx-

Question Number 12768 by Joel577 last updated on 01/May/17 $$\int\:\frac{\mathrm{sec}\:{x}}{\mathrm{tan}^{\mathrm{2}} \:{x}}\:{dx} \\ $$ Answered by prakash jain last updated on 01/May/17 $$\int\:\frac{\mathrm{sec}\:{x}\centerdot\mathrm{cos}^{\mathrm{2}} {x}}{\mathrm{sin}^{\mathrm{2}} {x}}\:\mathrm{d}{x} \\…

dx-1-tan-x-

Question Number 12766 by Joel577 last updated on 01/May/17 $$\int\:\frac{{dx}}{\mathrm{1}\:+\:\mathrm{tan}\:{x}} \\ $$ Answered by sma3l2996 last updated on 01/May/17 $${t}={tanx}\Rightarrow{dt}=\left(\mathrm{1}+{tan}^{\mathrm{2}} {x}\right){dx} \\ $$$${dx}=\frac{{dt}}{\mathrm{1}+{t}^{\mathrm{2}} } \\…

Solve-simultaneously-2x-y-z-8-equation-i-x-2-y-2-2z-2-14-equation-ii-3x-3-4y-3-z-3-195-equation-iii-

Question Number 12763 by tawa last updated on 30/Apr/17 $$\mathrm{Solve}\:\mathrm{simultaneously} \\ $$$$\mathrm{2x}\:+\:\mathrm{y}\:−\:\mathrm{z}\:=\:\mathrm{8}\:\:\:\:\:\:\:\:………..\:\mathrm{equation}\:\left(\mathrm{i}\right) \\ $$$$\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{y}^{\mathrm{2}} \:+\:\mathrm{2z}^{\mathrm{2}} \:=\:\mathrm{14}\:\:\:\:\:\:\:……….\:\mathrm{equation}\:\left(\mathrm{ii}\right) \\ $$$$\mathrm{3x}^{\mathrm{3}} \:+\:\mathrm{4y}^{\mathrm{3}} \:+\:\mathrm{z}^{\mathrm{3}} \:=\:\mathrm{195}\:\:\:\:\:\:\:\:\:………..\:\mathrm{equation}\:\left(\mathrm{iii}\right) \\ $$ Terms…