Question Number 193205 by Rupesh123 last updated on 07/Jun/23 Commented by a.lgnaoui last updated on 08/Jun/23 Answered by a.lgnaoui last updated on 07/Jun/23 $$\bigtriangleup\boldsymbol{\mathrm{ABC}}\:\:\:\:\measuredangle\boldsymbol{\mathrm{ABC}}=\boldsymbol{\alpha}\:\:\:\measuredangle\boldsymbol{\mathrm{ACB}}=\boldsymbol{\beta} \\…
Question Number 193203 by Mingma last updated on 07/Jun/23 Answered by som(math1967) last updated on 07/Jun/23 $$\frac{{DB}}{{DC}}=\frac{{BE}}{{EC}}\:\:\left[{DE}\:{is}\:{bisector}\:{of}\angle{BDC}\right] \\ $$$$\:\frac{{DB}}{{DC}}=\frac{\mathrm{1}}{\mathrm{2}}\: \\ $$$${Sin}\angle{DCB}={Sin}\mathrm{30} \\ $$$$\angle{DCB}=\mathrm{30} \\ $$$$\:\frac{{DB}}{{BC}}={tan}\mathrm{30}…
Question Number 193111 by cortano12 last updated on 04/Jun/23 $$\:\:\:\:\:\:\downharpoonleft\underline{\:} \\ $$ Answered by math1234 last updated on 04/Jun/23 Answered by horsebrand11 last updated on…
Question Number 65365 by aditya@345 last updated on 29/Jul/19 $$\mathrm{3sinA}+\mathrm{4cosB}=\mathrm{6} \\ $$$$\mathrm{3cosA}+\mathrm{4sinB}=\mathrm{1} \\ $$$$\mathrm{find}\:\mathrm{angle}\:\mathrm{C} \\ $$ Answered by Tanmay chaudhury last updated on 29/Jul/19 $$\left(\mathrm{3}{sinA}+\mathrm{4}{cosB}\right)^{\mathrm{2}}…
Question Number 65345 by KanhAshish last updated on 28/Jul/19 $$\mathrm{find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{sin}^{\mathrm{2018}} \mathrm{x}\:+\mathrm{cos}^{\mathrm{2019}} \mathrm{x}\:? \\ $$ Commented by mr W last updated on 28/Jul/19 $${maximum}\:{of}\:\mathrm{sin}^{{m}} \:{x}+\mathrm{cos}^{{n}} \:{x}\:{is}\:\mathrm{1}.…
Question Number 130819 by EDWIN88 last updated on 29/Jan/21 $$\:\mathrm{8sin}\:^{\mathrm{3}} \left({x}+\frac{\pi}{\mathrm{6}}\right)=\:\mathrm{cos}\:\left(\mathrm{3}{x}\right) \\ $$$$\:{x}=? \\ $$ Answered by mr W last updated on 29/Jan/21 $${let}\:{u}={x}+\frac{\pi}{\mathrm{6}} \\…
Question Number 130632 by bramlexs22 last updated on 27/Jan/21 Answered by EDWIN88 last updated on 27/Jan/21 $$\mathrm{cos}\:\mathrm{4095}°\:=\:\mathrm{cos}\:\left(\mathrm{360}°×\mathrm{11}+\mathrm{135}°\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:−\frac{\sqrt{\mathrm{2}}}{\mathrm{2}} \\ $$$${then}\:\mathrm{sin}^{−\mathrm{1}} \left(\mathrm{cos}\:\mathrm{4095}°\right)=\mathrm{sin}\:\left(−\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\right) \\ $$$$\:=−\frac{\pi}{\mathrm{4}} \\…
Question Number 130589 by bramlexs22 last updated on 27/Jan/21 $$\:\mathrm{Prove}\:\mathrm{the}\:\mathrm{identity}\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)+\mathrm{cot}^{−\mathrm{1}} \left(\mathrm{x}\right)=\pi/\mathrm{2} \\ $$ Answered by EDWIN88 last updated on 27/Jan/21 $$\:{If}\:{f}\left({x}\right)=\mathrm{tan}^{−\mathrm{1}} \left({x}\right)+\mathrm{cot}^{−\mathrm{1}} \left({x}\right) \\…
Question Number 130581 by bramlexs22 last updated on 27/Jan/21 $$\mathrm{If}\:\mathrm{a}_{\mathrm{1}} ,\mathrm{a}_{\mathrm{2}} \:,\mathrm{a}_{\mathrm{3}} \:\mathrm{are}\:\mathrm{in}\:\mathrm{AP}\:\mathrm{and}\:\mathrm{d}\:\mathrm{is}\:\mathrm{the}\:\mathrm{common} \\ $$$$\mathrm{difference}\:\mathrm{then}\:\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{d}}{\mathrm{1}+\mathrm{a}_{\mathrm{1}} \mathrm{a}_{\mathrm{2}} }\right)+\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{d}}{\mathrm{1}+\mathrm{a}_{\mathrm{2}} \mathrm{a}_{\mathrm{3}} }\right)=? \\ $$ Answered by…
Question Number 130580 by bramlexs22 last updated on 27/Jan/21 $$\mathrm{If}\:\mathrm{x}\epsilon\:\left[−\mathrm{1},\:\mathrm{0}\right)\:\mathrm{then}\:\mathrm{cos}^{−\mathrm{1}} \left(\mathrm{2x}^{\mathrm{2}} −\mathrm{1}\right)−\mathrm{2sin}^{−\mathrm{1}} \left(\mathrm{x}\right)=? \\ $$ Commented by EDWIN88 last updated on 27/Jan/21 $$\pi \\ $$…