Question and Answers Forum

All Questions      Topic List

Trigonometry Questions

Previous in All Question      Next in All Question      

Previous in Trigonometry      Next in Trigonometry      

Question Number 194766 by dimentri last updated on 15/Jul/23

$$1+2\cot 2x\cot x=3$$$$x=?$$

Answered by Frix last updated on 15/Jul/23

$$1+2\mathrm{cor}2x\cot x=3$$$${\cot }^{2}x=3$$$$\cot x=\pm \sqrt{3}$$$$x=\pm \frac{\pi }{6}+n\pi ;n\in \mathbb{Z}$$

Commented by dimentri last updated on 15/Jul/23

Answered by MM42 last updated on 15/Jul/23

$$tan2x\times tanx-3tan2xtanx+2=0$$$$lettanx=u$$$$\frac{2u^2}{1-u^2}-\frac{6u^2}{1-u^2}+2=0$$$$\Rightarrow u=tanx=\pm \frac{\sqrt{3}}{3}\Rightarrow x=k\pi \pm \frac{\pi }{6}✓$$$$$$

Commented by dimentri last updated on 15/Jul/23

$$⋗$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com