Category: Trigonometry

Question Number 160815 by cortano last updated on 07/Dec/21 $$\sec \left(3\mathrm{x}\right)-6\cos \left(3\mathrm{x}\right)=4\sin \left(3\mathrm{x}\right)$$$$\mathrm{find}\mathrm{the}\mathrm{solution}$$ Commented by blackmamba last updated on 07/Dec/21 $$\Rightarrow \frac{1}{\cos 3x}-6\cos 3x=4\sin 3x$$$$\Rightarrow\frac{\mathrm{1}}{{t}}\:−\:\mathrm{6}{t}\:=\:\mathrm{4}\sqrt{\mathrm{1}−{t}^{\mathrm{2}} }\:;\:\left[\:{t}\:=\:\mathrm{cos}\:\mathrm{3}{x}\:\right]…

Question Number 29658 by gyugfeet last updated on 11/Feb/18 $$tan\theta +tan2\theta +\sqrt{3}tan\theta .tan2\theta =\sqrt{3}(0^o⩽\theta ⩽360)$$ Answered by mrW2 last updated on 11/Feb/18 $$tan\theta +tan2\theta =\sqrt{3}(1-tan\theta .tan2\theta )$$$$\frac{\tan \theta +\tan 2\theta }{1-\tan \theta \tan 2\theta }=\sqrt{3}$$$$\mathrm{tan}\:\mathrm{3}\theta=\sqrt{\mathrm{3}}…

Question Number 29491 by math solver last updated on 09/Feb/18 $$If4sinx.cosy+2sinx+2cosy+1=0$$$$wherex,y\in [0,2pie].Findlargest$$$$possiblevalueofthesum(x+y).$$ Answered by ajfour last updated on 09/Feb/18 $$\left(\mathrm{1}+\mathrm{2sin}\:{x}\right)\left(\mathrm{1}+\mathrm{2cos}\:{y}\right)=\mathrm{0}…

Question Number 29413 by math solver last updated on 08/Feb/18 Commented by math solver last updated on 08/Feb/18 $$q.3?$$ Answered by beh.i83417@gmail.com last…

Question Number 29354 by NECx last updated on 08/Feb/18 $$3\sin {}^2\theta -\sin \theta \cos \theta -4\cos {}^2\theta =0$$$$findthevaluesof\theta if\theta lies$$$$between0and360$$ Answered by mrW2 last updated on 08/Feb/18…