Category: Trigonometry

Question Number 164760 by mathlove last updated on 21/Jan/22 $$tan193=k$$$$cos167=?$$ Answered by blackmamba last updated on 21/Jan/22 $$\tan \left(193°\right)=\tan (180°+13°)=k$$$$\:\Rightarrow\mathrm{tan}\:\mathrm{13}°\:={k} \…

Question Number 164758 by mathlove last updated on 21/Jan/22 $$tan22=\frac{2}{5}$$$$\frac{sin112+sin202}{cos(-68)}=?$$ Answered by Rasheed.Sindhi last updated on 21/Jan/22 $$\frac{\sin 112+\sin 202}{\cos (-68)}$$$$=\frac{\mathrm{sin}\left(\mathrm{90}+\mathrm{22}\right)+\mathrm{sin}\left(\mathrm{180}+\mathrm{22}\right)}{\:\mathrm{cos}\left(\mathrm{22}−\mathrm{90}\right)} \…

Question Number 164703 by amin96 last updated on 20/Jan/22 Answered by mr W last updated on 20/Jan/22 $$\underset{{n}=\mathrm{1}} {\overset{\mathrm{997}} {\sum}}\left(\mathrm{tan}^{\mathrm{2}} \:{x}_{{n}} +\frac{\mathrm{1}}{\mathrm{tan}^{\mathrm{2}} \:{x}_{{n}} }\right) \…

Question Number 164606 by cortano1 last updated on 19/Jan/22 $$Minf\left(x\right)=\cos 2x+\sqrt{3}\sin 2x-2\sqrt{3}\cos x-2\sin x$$$$is\dots$$ Answered by bobhans last updated on 19/Jan/22 $$\mathrm{f}\left(\mathrm{x}\right)=\cos 2\mathrm{x}+\sqrt{3}\sin 2\mathrm{x}-2\sqrt{3}\cos \mathrm{x}-2\sin \mathrm{x}$$$$\:\mathrm{set}\:\vartheta\:=\mathrm{sin}\:\mathrm{x}+\sqrt{\mathrm{3}}\:\mathrm{cos}\:\mathrm{x}\Rightarrow\vartheta^{\mathrm{2}} \:=\mathrm{sin}\:^{\mathrm{2}}…

Question Number 164524 by daus last updated on 18/Jan/22 Answered by mindispower last updated on 18/Jan/22 $$polarcoordinat(r,a)\Rightarrow (r,a+\frac{\pi }{4})$$ Commented by mindispower last updated on…