Category: Trigonometry

Question Number 26778 by tawa tawa last updated on 29/Dec/17 $$\mathrm{If}\sin \left(\mathrm{A}\right)+\sin \left(\mathrm{B}\right)=\mathrm{p}\mathrm{and}\cos \left(\mathrm{A}\right)+\cos \left(\mathrm{B}\right)=\mathrm{q}$$$$\mathrm{show}\mathrm{that}\tan \left(\mathrm{A}\right)+\tan \left(\mathrm{B}\right)=\frac{8\mathrm{pq}}{{({\mathrm{p}}^2+{\mathrm{q}}^2)}^2-{4\mathrm{q}}^2}$$ Commented by tawa tawa last updated…

Question Number 157774 by mba last updated on 27/Oct/21 $$$$$$$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 92054 by john santu last updated on 04/May/20 $$\tan {}^2\left(\frac{\pi }{7}\right)+\tan {}^2\left(\frac{2\pi }{7}\right)+\tan {}^2\left(\frac{3\pi }{7}\right)?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 157324 by ZiYangLee last updated on 22/Oct/21 $$\mathrm{Find}\mathrm{the}\mathrm{general}\mathrm{solution}\mathrm{for}\mathrm{the}\mathrm{equation}$$$$\cos 7x-\cos 4x+\cos x=0$$ Commented by cortano last updated on 22/Oct/21 $$\cos 7x+\cos x-\cos 4x=0$$$$\:\mathrm{2cos}\:\mathrm{4}{x}\:\mathrm{cos}\:\mathrm{3}{x}−\mathrm{cos}\:\mathrm{4}{x}=\mathrm{0} \…

Question Number 157227 by amin96 last updated on 21/Oct/21 $$\mathbf{x}(3\mathbf{sin}\left(\sqrt{\mathbf{x}}\right)-2\sqrt{\mathbf{x}})={\mathbf{sin}}^3\left(\sqrt{\mathbf{x}}\right)$$ Answered by Javokhir last updated on 21/Oct/21 $$$$$$\sqrt{x}=t$$$$\:\:\:\:\:\:\:{t}^{\mathrm{2}}…