Category: Trigonometry

Question Number 19 by user1 last updated on 25/Jan/15 $$\mathrm{Let}\theta \mathrm{be}\mathrm{the}\mathrm{angle}\mathrm{between}\mathrm{the}\mathrm{regression}$$$$\mathrm{line}\mathrm{of}y\mathrm{on}x\mathrm{and}\mathrm{the}\mathrm{regression}\mathrm{line}\mathrm{of}$$$$x\mathrm{on}y.\mathrm{Then}\mathrm{prove}\mathrm{that}$$$$\tan \theta =\left\{\frac{(1-r^2)}{r}\times \frac{{\sigma }_x\times {\sigma }_y}{({\sigma }_x^2+{\sigma }_y^2)}\right\}$$…

Question Number 144072 by bobhans last updated on 21/Jun/21 $$\mathrm{Use}\mathrm{the}\mathrm{reduction}\mathrm{formula}\mathrm{to}$$$$\mathrm{rewrite}-3\sin \mathrm{x}-3\cos \mathrm{x}\mathrm{in}\mathrm{the}$$$$\mathrm{form}\mathrm{K}\sin (\mathrm{x}+\alpha ).$$ Answered by liberty last updated on 21/Jun/21 $$\mathrm{because}\:$$\{\begin{array}{l}\mathrm{a}=-3\\ \mathrm{b}=-3\end{array}$$\:\mathrm{we}\:\mathrm{have}\:\mathrm{K}=\sqrt{\mathrm{a}^{\mathrm{2}} +\mathrm{b}^{\mathrm{2}}…

Question Number 144007 by gsk2684 last updated on 20/Jun/21 $$\mathrm{find}\mathrm{maximum}\mathrm{of}\mathrm{x}\mathrm{cosec}\mathrm{x}$$$$\mathrm{if}0<\mathrm{x}<\frac{\mathrm{\Pi }}{6}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 12929 by tawa last updated on 07/May/17 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 12905 by 433 last updated on 06/May/17 $$\sin \left(x\right)=3\cos \left(x\right)\iff \tan \left(x\right)=3$$$$Trueorfalse?$$ Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 06/May/17 $$1)falseif:cosx=0\Rightarrow x=2k\pi +\frac{\pi }{2}$$$$\left.\mathrm{2}\right){true}\:{if}\:{x}\neq\mathrm{2}{k}\pi+\frac{\pi}{\mathrm{2}},{k}\in\boldsymbol{{Z}}\:. \…