Category: Trigonometry

Question Number 214065 by a.lgnaoui last updated on 28/Nov/24 $$\mathit{E}\mathit{x}\mathit{e}\mathit{r}\mathit{c}\mathit{i}\mathit{c}\mathit{e}\mathit{p}\mathit{r}\mathit{a}\mathit{t}\mathit{i}\mathit{q}\mathit{u}\mathit{e}:$$$$\mathrm{determiner}\mathrm{Volume}\mathrm{de}\mathrm{la}\mathrm{forme}$$$$\mathrm{AMBN}:\mathrm{est}\mathrm{dans}\mathrm{un}\mathrm{plan}\mathrm{horisontale}$$$$\mathrm{ci}-\mathrm{dessous}.(\mathrm{OI}=12)$$$$\left(\mathrm{ACB}\right)\mathrm{assimile}\mathrm{a}\mathrm{une}\mathrm{chainette}$$ Commented by a.lgnaoui last updated…

Question Number 213861 by BaliramKumar last updated on 19/Nov/24 Answered by A5T last updated on 19/Nov/24 $$cotA+cotB=\frac{1}{tanA}+\frac{1}{tanB}=\frac{p}{tanAtanB}=q$$$$\Rightarrow tanAtanB=\frac{p}{q}$$$$cot(A+B)=\frac{1}{tan(A+B)}=\frac{1-tanAtanB}{tanA+tanB}=\frac{1-\frac{p}{q}}{p}$$$$\Rightarrow cot(A+B)=\frac{q-p}{pq}$$…

Question Number 213643 by Abdullahrussell last updated on 12/Nov/24 $$Findthemaximumvalueof$$$$3{sin}^{2}x-8cosx+5=?$$ Answered by Berbere last updated on 12/Nov/24 $${sin}^{\mathrm{2}} \left({x}\right)=\mathrm{1}−{cos}^{\mathrm{2}} \left({x}\right)…

Question Number 213519 by RojaTaniya last updated on 07/Nov/24 Answered by mr W last updated on 07/Nov/24 $$\tan \alpha =\frac{1}{x}$$$$\tan (\alpha +\beta )=\frac{3}{x}$$$$\tan (\alpha +\alpha +\beta )=\frac{6}{x}$$$$\frac{\mathrm{6}}{{x}}=\frac{\frac{\mathrm{1}}{{x}}+\frac{\mathrm{3}}{{x}}}{\mathrm{1}−\frac{\mathrm{1}}{{x}}×\frac{\mathrm{3}}{{x}}}=\frac{\mathrm{4}{x}}{{x}^{\mathrm{2}} −\mathrm{3}}…

Question Number 213084 by MATHEMATICSAM last updated on 30/Oct/24 $$\mathrm{If}0<x<\frac{\pi }{2}\mathrm{then}\mathrm{prove}$$$$\sin \left(\cos x\right)<\cos x<\cos \left(\sin x\right).$$$$\mathrm{not}\mathrm{using}\mathrm{graph}.$$ Answered by issac last updated on 30/Oct/24 $${x}=\mathrm{acos}\left({z}\right)\:,\:{z}\in\left[\mathrm{0},\mathrm{1}\right] \…