Question Number 85372 by john santu last updated on 21/Mar/20 $$\mathrm{sin}\:^{\mathrm{2}} {x}−\mathrm{4cos}\:^{\mathrm{2}} {x}\:=\:\mathrm{3}\:\mathrm{sin}\:{x}\:\mathrm{cos}\:{x} \\ $$$${find}\:\mathrm{tan}\:{x}.\: \\ $$ Answered by john santu last updated on 21/Mar/20…
Question Number 85349 by john santu last updated on 21/Mar/20 $$\sqrt{\mathrm{cos}\:\mathrm{2x}}\:+\sqrt{\mathrm{1}+\mathrm{sin}\:\mathrm{2x}}\:=\:\mathrm{2}\sqrt{\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}\: \\ $$$$\mathrm{x}\:\in\:\left(\mathrm{0},\mathrm{2}\pi\:\right) \\ $$ Commented by john santu last updated on 21/Mar/20 $$\sqrt{\mathrm{cos}\:^{\mathrm{2}} {x}−\mathrm{sin}\:^{\mathrm{2}}…
Question Number 85313 by john santu last updated on 20/Mar/20 $$\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{20}^{\mathrm{o}} \right)\:+\:\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{40}^{\mathrm{o}} \right)+\:\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{80}^{\mathrm{o}} \right)\:= \\ $$ Answered by john santu last updated…
Question Number 19760 by Tinkutara last updated on 15/Aug/17 $$\mathrm{If}\:\mathrm{sin}\:{x}\:+\:\mathrm{cos}\:{x}\:+\:\mathrm{tan}\:{x}\:+\:\mathrm{cosec}\:{x}\:+ \\ $$$$\mathrm{cot}\:{x}\:+\:\mathrm{sec}\:{x}\:=\:\mathrm{7},\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{sin}\:\mathrm{2}{x}. \\ $$ Answered by ajfour last updated on 15/Aug/17 $$\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}+\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{x}}+\frac{\mathrm{1}}{\mathrm{cos}\:\mathrm{x}}+\frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{x}} \\…
Question Number 150761 by DELETED last updated on 15/Aug/21 Answered by DELETED last updated on 15/Aug/21 $$\left.\mathrm{1}.\mathrm{a}\right).\:\left(\mathrm{NH}_{\mathrm{4}} \right)_{\mathrm{2}} \mathrm{Cr}_{\mathrm{2}} \mathrm{O}_{\mathrm{7}} \rightarrow\mathrm{N}_{\mathrm{2}} +\mathrm{4H}_{\mathrm{2}} \mathrm{O}+\mathrm{Cr}_{\mathrm{2}} \mathrm{O}_{\mathrm{3}} \\…
Question Number 85146 by john santu last updated on 19/Mar/20 $$\mathrm{find}\:\mathrm{minimum}\:\&\:\mathrm{maximum}\:\mathrm{value}\: \\ $$$$\mathrm{of}\:\mathrm{function}\: \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\:−\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}+\mathrm{sin}\:\mathrm{x}−\frac{\mathrm{1}}{\mathrm{2}}\:,\:−\pi\leqslant\mathrm{x}\leqslant\pi \\ $$ Commented by mr W last updated on…
Question Number 150670 by EDWIN88 last updated on 14/Aug/21 $$\:{Solve}\:{the}\:{equation}\: \\ $$$$\:\mathrm{sin}\:^{\mathrm{3}} {x}+\mathrm{sin}\:^{\mathrm{3}} \left(\frac{\mathrm{2}\pi}{\mathrm{3}}+{x}\right)+\mathrm{sin}\:^{\mathrm{3}} \left(\frac{\mathrm{4}\pi}{\mathrm{3}}+{x}\right)+\frac{\mathrm{3}}{\mathrm{4}}\mathrm{cos}\:\mathrm{2}{x}=\mathrm{0}\: \\ $$ Answered by EDWIN88 last updated on 14/Aug/21 Answered…
Question Number 85130 by john santu last updated on 19/Mar/20 $$\mathrm{given}\:\mathrm{f}\left(\mathrm{x}\right)=\:\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)\mathrm{sin}\:\mathrm{x}\:+\left(\sqrt{\mathrm{2}}−\mathrm{1}\right)\mathrm{cos}\:\mathrm{x} \\ $$$$\mathrm{find}\:\mathrm{masimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{function} \\ $$$$\left[\mathrm{f}\left(\mathrm{x}\right)\right]^{\mathrm{2}} \\ $$ Answered by Rio Michael last updated on 19/Mar/20…
Question Number 150609 by ajfour last updated on 13/Aug/21 $${I}\:{thought}\:{this}\:{as}\:{more}\:{basic}: \\ $$$$\frac{{sinA}}{{a}}=\frac{\mathrm{1}}{\mathrm{2}{R}} \\ $$$$\frac{{cosA}}{{a}}=\frac{{b}^{\mathrm{2}} +{c}^{\mathrm{2}} −{a}^{\mathrm{2}} }{\mathrm{2}{abc}} \\ $$$$\Rightarrow\:\:\boldsymbol{{tanA}}=\frac{\boldsymbol{{abc}}}{\boldsymbol{{R}}\left(\boldsymbol{{b}}^{\mathrm{2}} +\boldsymbol{{c}}^{\mathrm{2}} −\boldsymbol{{a}}^{\mathrm{2}} \right)} \\ $$ Terms…
Question Number 84988 by jagoll last updated on 18/Mar/20 $$\mathrm{prove}\:\mathrm{that}\: \\ $$$$\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}+\mathrm{cos}\:^{\mathrm{2}} \mathrm{y}\:=\:\mathrm{tan}\:^{\mathrm{2}} \mathrm{z}+\mathrm{cot}\:^{\mathrm{2}} \mathrm{z} \\ $$ Commented by MJS last updated on 18/Mar/20…