Category: Trigonometry

Question Number 115455 by bemath last updated on 26/Sep/20 $$\cos \left(\frac{\pi }{65}\right).\cos \left(\frac{2\pi }{65}\right).\cos \left(\frac{4\pi }{65}\right).\cos \left(\frac{8\pi }{65}\right).\cos \left(\frac{16\pi }{65}\right).\cos \left(\frac{32\pi }{65}\right)=?$$ Commented by Adel last updated on 13/Jan/21 $$\cos \left(\frac{\pi }{65}\right).\cos \left(\frac{2\pi }{65}\right).\cos \left(\frac{4\pi }{65}\right).\cos \left(\frac{8\pi }{65}\right).\cos \left(\frac{16\pi }{65}\right).\cos \left(\frac{32\pi }{65}\right)=?$$ Answered by TANMAY…

Question Number 115345 by bemath last updated on 25/Sep/20 $$\sec \theta (\sec \theta \left(\sin {}^2\theta \right)+2\sqrt{3}\sin \theta )=1$$$$hastherootsare{\theta }_{1}and{\theta }_2.Findthe$$$$valueof\tan {\theta }_1\times \tan {\theta }_2.$$ Answered by bobhans last…

Question Number 115328 by bobhans last updated on 25/Sep/20 $$If\frac{\sin 1°+\sin 2°+\sin 3°+\dots +\sin 44°}{\cos 1°+\cos 2°+\cos 3°+\dots +\cos 44°}=\chi$$$$then{\chi }^4+4{\chi }^3+4{\chi }^2+4=$$ Answered by bemath last updated on 25/Sep/20 $$\:\:\mathrm{sin}\:\mathrm{44}°+\mathrm{sin}\:\mathrm{1}°=\mathrm{2sin}\:\left(\frac{\mathrm{45}°}{\mathrm{2}}\right).\mathrm{cos}\:\left(\frac{\mathrm{43}°}{\mathrm{2}}\right)…

Question Number 115255 by aye48 last updated on 24/Sep/20 $$\mathrm{Express}\mathrm{cosec}3\mathrm{x}\mathrm{in}\mathrm{terms}\mathrm{of}\mathrm{cosec}\mathrm{x}.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 115248 by aye48 last updated on 24/Sep/20 $$\mathrm{Express}\cos 4\mathrm{x}\mathrm{interm}\mathrm{of}\cos \mathrm{x}.$$ Answered by Olaf last updated on 24/Sep/20 $$\cos 4x={2\cos }^{2}2x-1$$$$\mathrm{cos4}{x}\:=\:\mathrm{2}\left(\mathrm{2cos}^{\mathrm{2}} {x}−\mathrm{1}\right)^{\mathrm{2}} −\mathrm{1}…