Category: Trigonometry

Question Number 119007 by bramlexs22 last updated on 21/Oct/20 $$GivenpointA=(7,26)andB=(12,12),find$$$$allpointsPsuchthat\mid AP\mid =\mid BP\mid and\mathrm{\angle }APB=90°.$$ Answered by bemath last updated on 21/Oct/20 $$NotethatthetriangleABPisanisoscelesright$$$${triangle}\:{with}\:\mid{AP}\:\mid\:=\:\mid{BP}\:\mid.\:{Let}\:{Q}\:{be}\:{the}\:{midpoint} \…

Question Number 53447 by rajeshghorai130@gmail.com last updated on 22/Jan/19 Answered by tanmay.chaudhury50@gmail.com last updated on 22/Jan/19 $$a={sin}^{2}x$$$$b={sin}^{2}y$$$$\frac{\left(\mathrm{1}−{a}\right)^{\mathrm{2}} }{\mathrm{1}−{b}}+\frac{{a}^{\mathrm{2}} }{{b}}=\mathrm{1}…

Question Number 53340 by aseerimad last updated on 20/Jan/19 Answered by tanmay.chaudhury50@gmail.com last updated on 20/Jan/19 $$a={18}^o$$$$$$$$method1$$$$\frac{sin54}{cos54}-\frac{sin36}{cos36}$$$$\frac{{sin}\mathrm{54}{cos}\mathrm{36}−{cos}\mathrm{54}{sin}\mathrm{36}}{{cos}\mathrm{54}{cos}\mathrm{36}}…

Question Number 53210 by Tawa1 last updated on 19/Jan/19 Answered by tanmay.chaudhury50@gmail.com last updated on 19/Jan/19 $$r_1^{{}^{\prime }}=r_1-r_3$$$${r}_{\mathrm{2}} ^{,} ={r}_{\mathrm{2}} −{r}_{\mathrm{3}}…

Question Number 118690 by Algoritm last updated on 19/Oct/20 Answered by benjo_mathlover last updated on 19/Oct/20 $$\Rightarrow \cos 3x=4\cos {}^{3}x-3\cos x$$$$\Rightarrow \frac{\cos {}^{2}x}{4}=\cos 3x(\cos {}^{4}x-\cos 3x)$$$$\Rightarrow\mathrm{cos}\:^{\mathrm{2}} {x}=\mathrm{4}\left(\mathrm{4cos}\:^{\mathrm{3}}…