Category: Trigonometry

Question Number 153758 by yeti123 last updated on 10/Sep/21 $$S=\frac{\underset{k=1}{\sum ^n}\sin \left({\theta }_k\right)}{\underset{k=1}{\sum ^n}\cos \left({\theta }_k\right)};\mathrm{where}{\left({\theta }_k\right)}_{k=1}^n\mathrm{is}\mathrm{an}\mathrm{arithmetic}\mathrm{progression}.$$$$\mathrm{show}\mathrm{that}S=\tan \left(\overline{\theta }\right)$$$$\mathrm{where}\:\bar {\theta}\:=\:\frac{\mathrm{1}}{{n}}\underset{{k}\:=\:\mathrm{1}}…

Question Number 153742 by Babatunde last updated on 09/Sep/21 Answered by liberty last updated on 10/Sep/21 $${t}={e}^{\mathrm{ln}\:\mathrm{2}^{\left(\mathrm{cos}\:^{\mathrm{2}} {x}+\mathrm{cos}\:^{\mathrm{4}} {x}+\mathrm{cos}\:^{\mathrm{6}} {x}+…\right)} } \:=\:\mathrm{2}^{\frac{\mathrm{cos}\:^{\mathrm{2}} {x}}{\mathrm{1}−\mathrm{cos}\:^{\mathrm{2}} {x}}} \…

Question Number 153708 by liberty last updated on 09/Sep/21 Answered by MJS_new last updated on 09/Sep/21 $$\left(1\right)200x+160y=300$$$$\left(2\right)200\sqrt{1-x^2}=160\sqrt{1-y^2}$$$$$$$$\left(\mathrm{1}\right)\:{y}=\frac{\mathrm{15}−\mathrm{10}{x}}{\mathrm{8}}…

Question Number 22536 by NECx last updated on 20/Oct/17 $$showthat\frac{{(a+b+c)}^2}{a^2+b^2+c^2}=$$$$\frac{\cot \frac{1}{2}A+\cot \frac{1}{2}B+\cot \frac{1}{2}C}{\cot A+\cot B+\cot C}$$$$$$$$$$$$pleasehelp$$ Commented…

Question Number 153532 by talminator2856791 last updated on 08/Sep/21 $$$$$$\sin \left(\sin \left(\sin (x^{2\pi x}-1)\right)\right)=\cos \left(\cos \left(\cos (x^{2ex}+1)\right)\right)$$$$x=?$$$$$$ Terms of Service Privacy Policy…