Category: Trigonometry

Question Number 85349 by john santu last updated on 21/Mar/20 $$\sqrt{\cos 2\mathrm{x}}+\sqrt{1+\sin 2\mathrm{x}}=2\sqrt{\sin \mathrm{x}+\cos \mathrm{x}}$$$$\mathrm{x}\in (0,2\pi )$$ Commented by john santu last updated on 21/Mar/20 $$\sqrt{\mathrm{cos}\:^{\mathrm{2}} {x}−\mathrm{sin}\:^{\mathrm{2}}…

Question Number 19760 by Tinkutara last updated on 15/Aug/17 $$\mathrm{If}\sin x+\cos x+\tan x+\mathrm{cosec}x+$$$$\cot x+\sec x=7,\mathrm{then}\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}$$$$\sin 2x.$$ Answered by ajfour last updated on 15/Aug/17 $$\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}+\frac{\mathrm{1}}{\mathrm{sin}\:\mathrm{x}}+\frac{\mathrm{1}}{\mathrm{cos}\:\mathrm{x}}+\frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{x}} \…

Question Number 85146 by john santu last updated on 19/Mar/20 $$\mathrm{find}\mathrm{minimum}\mathrm{\&}\mathrm{maximum}\mathrm{value}$$$$\mathrm{of}\mathrm{function}$$$$\mathrm{f}\left(\mathrm{x}\right)=-\sin {}^2\mathrm{x}+\sin \mathrm{x}-\frac{1}{2},-\pi ⩽\mathrm{x}⩽\pi$$ Commented by mr W last updated on…

Question Number 85130 by john santu last updated on 19/Mar/20 $$\mathrm{given}\mathrm{f}\left(\mathrm{x}\right)=(\sqrt{2}+1)\sin \mathrm{x}+(\sqrt{2}-1)\cos \mathrm{x}$$$$\mathrm{find}\mathrm{masimum}\mathrm{value}\mathrm{of}\mathrm{function}$$$${\left[\mathrm{f}\left(\mathrm{x}\right)\right]}^2$$ Answered by Rio Michael last updated on 19/Mar/20…

Question Number 84988 by jagoll last updated on 18/Mar/20 $$\mathrm{prove}\mathrm{that}$$$$\sin {}^2\mathrm{x}+\cos {}^2\mathrm{y}=\tan {}^2\mathrm{z}+\cot {}^2\mathrm{z}$$ Commented by MJS last updated on 18/Mar/20…