Category: Trigonometry

Question Number 34117 by tanmay.chaudhury50@gmail.com last updated on 30/Apr/18 Commented by abdo imad last updated on 01/May/18 $$letputf\left(x\right)=\frac{sin\theta }{x^2-2xcos\theta +1}polesoff\left(x\right)?$$$$x^2-2xcos\theta +1=0$$$$\Delta^{'} ={cos}^{\mathrm{2}}…

Question Number 34115 by tanmay.chaudhury50@gmail.com last updated on 30/Apr/18 Commented by abdo mathsup 649 cc last updated on 03/May/18 $$wehaveforf\left(t\right)=arctant$$$${f}^{'} \left({t}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+{t}^{\mathrm{2}} }\:\:{with}\:−\mathrm{1}<{t}<\mathrm{1}\Rightarrow{f}^{'} \left({x}\right)=\sum_{{n}=\mathrm{0}}…

Question Number 34113 by tanmay.chaudhury50@gmail.com last updated on 30/Apr/18 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 34066 by 5a3k last updated on 30/Apr/18 $$\mathrm{show}\mathrm{that}-$$$$\sin 10-\sqrt{3}\sec 10=4.$$ Answered by math1967 last updated on 30/Apr/18 $$correctq.is\frac{1}{sin10°}-\sqrt{3}sec10°$$$$\frac{{cos}\mathrm{10}°−\sqrt{\mathrm{3}}\:{sin}\mathrm{10}}{{sin}\mathrm{10}{cos}\mathrm{10}\:\:} \…

Question Number 99539 by Ar Brandon last updated on 21/Jun/20 $$\mathrm{If}\mathrm{A}+\mathrm{B}+\mathrm{C}=180°\mathrm{Prove}$$$$\mathrm{sinA}+\mathrm{sinB}+\mathrm{sinC}=4\cos \frac{1}{2}\mathrm{Acos}\frac{1}{2}\mathrm{Bcos}\frac{1}{2}\mathrm{C}$$ Answered by Dwaipayan Shikari last updated on 22/Jun/20 $${sinA}+{sinB}+{sinC}=\mathrm{2}{sin}\frac{{A}}{\mathrm{2}}{cos}\frac{{A}}{\mathrm{2}}+\mathrm{2}{sin}\frac{{B}+{C}}{\mathrm{2}}{cos}\frac{{B}−{C}}{\mathrm{2}} \…