Category: Geometry

Question Number 88933 by TawaTawa1 last updated on 13/Apr/20 Commented by john santu last updated on 14/Apr/20 $${30}^o$$ Commented by mr W last…

Question Number 154424 by amin96 last updated on 18/Sep/21 Commented by amin96 last updated on 18/Sep/21 $$prove$$ Terms of Service Privacy Policy Contact:…

Question Number 154415 by mr W last updated on 18/Sep/21 Commented by mr W last updated on 18/Sep/21 $$\left[Q154210\right]$$ Answered by mr W…

Question Number 23317 by tapan das last updated on 28/Oct/17 $$\int \sin {}^3\mathrm{x}\cos \mathrm{x}\mathrm{dx}$$ Answered by mrW1 last updated on 28/Oct/17 $$=\int {\sin }^3\mathrm{x}\mathrm{dsin}\mathrm{x}$$$$=\frac{\mathrm{sin}^{\mathrm{4}}…

Question Number 154343 by Lekhraj last updated on 17/Sep/21 Answered by qaz last updated on 17/Sep/21 $$\frac{\sin \mathrm{x}}{\bullet \mathrm{O}}=\frac{\sin \mathrm{\angle }\mathrm{M}\bullet \mathrm{C}}{\mathrm{OC}},\frac{\sin 30°}{\bullet \mathrm{O}}=\frac{\sin 105°}{\mathrm{OA}}$$$$\because \mathrm{OA}=\mathrm{OC}$$$$\therefore \sin \mathrm{x}=\frac{\sin 30°}{\sin 105°}\cdot \sin \mathrm{\angle }\mathrm{M}\bullet \mathrm{C}=\frac{\sqrt{2}}{\sqrt{3}+1}\sin \mathrm{\angle }\mathrm{M}\bullet \mathrm{C}$$$$\because \mathrm{\angle }\mathrm{M}\bullet \mathrm{C}=180°-135°-\mathrm{x}=45°-\mathrm{x}$$$$\therefore\:\:\:\mathrm{sin}\:\mathrm{x}=\frac{\sqrt{\mathrm{2}}}{\:\sqrt{\mathrm{3}}+\mathrm{1}}\mathrm{sin}\:\left(\mathrm{45}°−\mathrm{x}\right)=\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}+\mathrm{1}}\left(\mathrm{cos}\:\mathrm{x}−\mathrm{sin}\:\mathrm{x}\right)…