Question and Answers Forum

All Questions      Topic List

UNKNOWN Questions

Previous in All Question      Next in All Question      

Previous in UNKNOWN      Next in UNKNOWN      

Question Number 62388 by hovea cw last updated on 20/Jun/19

$$\mathrm{If}\tan \theta =\frac{1}{2}\mathrm{and}\tan \varphi =\frac{1}{3},\mathrm{then}\mathrm{the}$$$$\mathrm{value}\mathrm{of}\theta +\varphi \mathrm{is}$$

Commented by Tony Lin last updated on 20/Jun/19

$$tan(\theta +\mathrm{\varnothing })=\frac{tan\theta +tan\mathrm{\varnothing }}{1-tan\theta tan\varphi }=1$$$$\Rightarrow \theta +\mathrm{\varnothing }=\frac{\pi }{4}+2n\pi or\theta +\mathrm{\varnothing }=\frac{5\pi }{4}+2n\pi$$

Answered by ajfour last updated on 20/Jun/19

$$\tan (\theta +\varphi )=1$$$$\Rightarrow \theta +\varphi =n\pi +\pi /4.$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com