Category: Trigonometry

Question Number 83975 by jagoll last updated on 08/Mar/20 $$\mathrm{find}\mathrm{solution}$$$$8\tan \mathrm{x}-8\tan {}^5\mathrm{x}=\sec {}^6\mathrm{x}\mathrm{in}\mathrm{x}\in (0,\frac{\pi }{2})$$ Answered by TANMAY PANACEA last updated on 08/Mar/20 $$\mathrm{8}{a}−\mathrm{8}{a}^{\mathrm{5}}…

Question Number 18402 by Tinkutara last updated on 20/Jul/17 $$\mathrm{If}{P}_n={\cos }^n\theta +{\sin }^n\theta ,\theta \in [0,\frac{\pi }{2}],n\in$$$$(-\mathrm{\infty },2),\mathrm{then}\mathrm{minimum}\mathrm{of}{P}_n\mathrm{will}\mathrm{be}$$$$\left(1\right)1$$$$\left(2\right)\frac{1}{2}$$$$\left(3\right)\sqrt{2}$$$$\left(\mathrm{4}\right)\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}} \…

Question Number 149447 by liberty last updated on 05/Aug/21 $$\mathrm{Solve}\mathrm{the}\mathrm{following}\mathrm{system}$$$$\{\begin{array}{l}\sin 2\mathrm{x}+\cos 3\mathrm{y}=-1\\ \sqrt{\sin {}^2\mathrm{x}+\sin {}^2\mathrm{y}}+\sqrt{\cos {}^2\mathrm{x}+\cos {}^2\mathrm{y}}=1+\sin (\mathrm{x}+\mathrm{y})\end{array}$$$$$$ Terms of Service Privacy Policy…

Question Number 149385 by liberty last updated on 05/Aug/21 Answered by Ar Brandon last updated on 05/Aug/21 $$\alpha +\frac{1}{\alpha }=3\Rightarrow {\alpha }^2-3\alpha +1=0\Rightarrow \alpha =\frac{3\pm \sqrt{5}}{2}$$$$\Rightarrow \sqrt{\tan x}=\frac{3\pm \sqrt{5}}{2}\Rightarrow \tan x=\frac{14\pm 6\sqrt{5}}{4}$$$$\Rightarrow\mathrm{tan}^{\mathrm{3}} {x}+\frac{\mathrm{1}}{\mathrm{tan}^{\mathrm{3}} {x}}=\left(\frac{\mathrm{14}\pm\mathrm{6}\sqrt{\mathrm{5}}}{\mathrm{4}}\right)^{\mathrm{3}}…

Question Number 149309 by ArielVyny last updated on 04/Aug/21 $$ift=tanxwhatisthevalueof$$$$sinxandcosx?$$ Answered by nimnim last updated on 04/Aug/21 $${sinx}=\frac{{t}}{\:\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }},\:\:{cosx}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{t}^{\mathrm{2}} }} \…