Category: Trigonometry

Question Number 116503 by bemath last updated on 04/Oct/20 $$\mathrm{If}\tan \alpha \mathrm{and}\tan \beta \mathrm{are}\mathrm{the}\mathrm{roots}$$$$\mathrm{of}\mathrm{equation}{2\mathrm{x}}^2-5\mathrm{x}+1=0$$$$\mathrm{find}\{\begin{array}{l}\tan (\frac{\alpha }{2}+2\beta )\\ \tan (2\alpha -\frac{\beta }{2})\end{array}$$ Answered by bobhans last updated on 04/Oct/20 $$\Rightarrow\mathrm{x}_{\mathrm{1}}…

Question Number 116483 by bemath last updated on 04/Oct/20 $$\mathrm{If}8\cos \mathrm{x}-8\sin \mathrm{x}=3,\mathrm{what}\mathrm{is}\mathrm{the}$$$$\mathrm{value}\mathrm{of}55\tan \mathrm{x}+\frac{55}{\tan \mathrm{x}}?$$ Answered by mr W last updated on 04/Oct/20 $$8(1-\tan x)=\frac{3}{\cos x}$$$$\mathrm{64}\left(\mathrm{1}−\mathrm{tan}\:{x}\right)^{\mathrm{2}}…

Question Number 116441 by bobhans last updated on 04/Oct/20 $$\mathrm{If}\sin (45°-\mathrm{x})=-\frac{1}{3},\mathrm{where}45°<\mathrm{x}<90°$$$$.\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{value}\mathrm{of}{(6\sin \mathrm{x}-\sqrt{2})}^2$$ Answered by bemath last updated on 04/Oct/20 $$\Rightarrow \sin (\mathrm{x}-45)=\frac{1}{3}$$$$\Rightarrow\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\:\mathrm{sin}\:\mathrm{x}−\frac{\sqrt{\mathrm{2}}}{\mathrm{2}}\:\mathrm{cos}\:\mathrm{x}\:=\:\frac{\mathrm{1}}{\mathrm{3}} \…

Question Number 181863 by greougoury555 last updated on 01/Dec/22 $$\cos 56°.\cos (2.56°).\cos (2^2.56°).\cos (2^3.56°)\dots \cos (2^{23}.56°)=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 116290 by ravisoni last updated on 02/Oct/20 Commented by Dwaipayan Shikari last updated on 03/Oct/20 $$\mathrm{f}\left(\mathrm{x}\right)={\sin }^{-1}\mathrm{x}$$$${\mathrm{f}}^{\prime }\left(\mathrm{x}\right)=\frac{1}{\sqrt{1-{\mathrm{x}}^2}}$$$$\mathrm{f}'\left(\mathrm{x}\right)=\left(\mathrm{1}−\mathrm{x}^{\mathrm{2}} \right)^{−\frac{\mathrm{1}}{\mathrm{2}}}…