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Author: Tinku Tara

Question-198235

Question Number 198235 by MASANJAJJ last updated on 15/Oct/23 Answered by Rasheed.Sindhi last updated on 15/Oct/23 $${y}={m}\angle{B}\:\:\:\:\:\:\:\left[{Corresponding}\:{angles}\right] \\ $$$${x}={m}\angle{A}\:\:\:\:\:\:\left[{Alternative}\:{angles}\right] \\ $$$${z}={m}\angle{ACB}\:\:\:\left[{Same}\:{angles}\right] \\ $$$${x}+{y}+{z}={m}\angle{A}+{m}\angle{B}+{m}\angle{ACB}=\mathrm{180}°\:\left[{Angles}\:{of}\:{triangle}\right] \\ $$$$…

help-i-j-k-est-une-base-orthonormee-A-B-C-et-D-sont-des-points-de-l-espace-tels-que-AB-i-j-k-AC-2i-3j-k-AD-i-2j-2k-Determine-tous-les-poin

Question Number 198260 by maths_plus last updated on 15/Oct/23 $$\mathrm{help}\:! \\ $$$$\left(\overset{\rightarrow} {{i}},\overset{\rightarrow} {{j}},\overset{\rightarrow} {{k}}\right)\:\mathrm{est}\:\mathrm{une}\:\mathrm{base}\:\mathrm{orthonormee}. \\ $$$$\mathrm{A},\:\mathrm{B},\:\mathrm{C}\:\mathrm{et}\:\mathrm{D}\:\mathrm{sont}\:\mathrm{des}\:\mathrm{points}\:\mathrm{de}\:\mathrm{l}'\mathrm{espace} \\ $$$$\mathrm{tels}\:\mathrm{que}\::\: \\ $$$$\overset{\rightarrow} {\mathrm{AB}}=\overset{\rightarrow} {{i}}+\overset{\rightarrow} {{j}}+\overset{\rightarrow} {{k}}…

Question-198263

Question Number 198263 by SANOGO last updated on 15/Oct/23 Answered by witcher3 last updated on 16/Oct/23 $$\mathrm{d}_{\mathrm{w}} \left(\mathrm{f},\mathrm{g}\right)=\mathrm{d}_{\mathrm{w}} \left(\mathrm{g},\mathrm{f}\right) \\ $$$$\mathrm{d}_{\mathrm{w}} \left(\mathrm{f},\mathrm{g}\right)+\mathrm{d}_{\mathrm{w}} \left(\mathrm{f},\mathrm{h}\right)\geqslant\mathrm{d}_{\mathrm{w}} \left(\mathrm{g},\mathrm{h}\right) \\…

if-sin-x-cos2x-3-

Question Number 198249 by liuxinnan last updated on 15/Oct/23 $${if}\:\:{sin}\left({x}+\varphi\right)+{cos}\mathrm{2}{x}\leqslant\sqrt{\mathrm{3}\:}\: \\ $$$$\varphi=? \\ $$ Commented by Frix last updated on 16/Oct/23 $$\mathrm{I}\:\mathrm{get}\:\mathrm{one}\:\mathrm{solution} \\ $$$$\varphi=\frac{\pi}{\mathrm{4}}+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{sin}^{−\mathrm{1}} \:\frac{\left(\mathrm{7}\sqrt{\mathrm{7}}−\mathrm{19}\right)\sqrt{\mathrm{3}}}{\mathrm{9}}…