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 194826 by cortano12 last updated on 16/Jul/23

$$\tan 19°=p$$$$\tan 7°=?$$

Answered by dimentri last updated on 16/Jul/23

$$\tan 38°=\tan (45°-7)$$$$\frac{2\tan 19°}{1-{\tan }^{2}19°}=\frac{1-\tan 7°}{1+\tan 7°}$$$$\frac{-\tan 7°+1}{\tan 7°+1}=\frac{2p}{1-p^2}$$$$(p^2-1)\tan 7°+1-p^2=2p\tan 7°+2p$$$$(p^2-2p-1)\tan 7°=p^2+2p-1$$$$\overline{)\begin{array}{c}\tan 7°=\frac{p^2+2p-1}{p^2-2p-1}\end{array}}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com