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 18069 by tawa tawa last updated on 14/Jul/17

$$\mathrm{ai})\mathrm{If}\theta \mathrm{is}\mathrm{the}\mathrm{angle}\mathrm{in}\mathrm{the}\mathrm{fourth}\mathrm{quadrant}\mathrm{satisfying}\mathrm{the}\mathrm{equation}:{\cot }^2\theta =4$$$$\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{the}\mathrm{function}:\mathrm{f}\left(\theta \right)=\frac{1}{\sqrt{5}}(\sec \theta -\mathrm{cosec}\theta )$$$$\mathrm{aii})\mathrm{Prove}\mathrm{that}:\sqrt{\frac{1+\cos \theta }{1-\cos \theta }}=\mathrm{cosec}\theta +\cot \theta ,\mathrm{if}\cos \theta \ne 1$$$$\left(\mathrm{b}\right)\mathrm{Let}\mathrm{R}\mathrm{be}\mathrm{a}\mathrm{positive}\mathrm{real}\mathrm{number}\mathrm{and}\mathrm{let}\alpha \mathrm{satisfy}\mathrm{the}\mathrm{inequality}$$$$0<\alpha <360.\mathrm{express}\mathrm{the}\mathrm{function}2\sin \theta +\cos \theta \mathrm{in}\mathrm{the}\mathrm{form}\mathrm{Rsin}(\theta +\alpha ).$$$$\mathrm{Hence},\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}\theta \mathrm{between}0\mathrm{and}360\mathrm{which}\mathrm{satisfy}\mathrm{the}\mathrm{equation}.$$$$3\cos \theta +6\sin \theta =1$$

Commented by tawa tawa last updated on 15/Jul/17

$$\mathrm{please}\mathrm{help}.$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com