Category: Trigonometry

Question Number 165995 by mathlove last updated on 11/Feb/22 $$\{\begin{array}{l}sinx+siny=\frac{3}{2}\\ 2^{\sin x}+2^{\sin y}=2+\sqrt{2}\end{array}faindx=?$$ Answered by alephzero last updated on 11/Feb/22 $$$$\{\begin{array}{l}\sin x+\cos y=\frac{3}{2}\\ 2^{\sin x}+2^{\cos y}=2+\sqrt{2}\end{array}$$ \…

Question Number 34671 by math khazana by abdo last updated on 09/May/18 $$calculste\sum _{n=1}^{\mathrm{\infty }}arctan\left(\frac{2}{n^2}\right).$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 34647 by JOHNMASANJA last updated on 09/May/18 $$if{xsin}^3\theta +{ycos}^3\theta =sin\theta cos\theta$$$$andxsin\theta -ycos\theta =0$$$$provethat{x}^2+y^2=1$$ Answered by tanmay.chaudhury50@gmail.com last updated…

Question Number 34646 by JOHNMASANJA last updated on 09/May/18 $$showthat2{tan}^{-1}2+{tan}^{-1}3=$$$$\mathrm{\Pi }+{tan}^{-1}\frac{1}{3}$$ Answered by ajfour last updated on 09/May/18 $${let}\:\:\:\:\:\mathrm{2}\theta+\phi=\mathrm{2tan}^{−\mathrm{1}}…

Question Number 100131 by bemath last updated on 25/Jun/20 $$\mathrm{If}3\sin \mathrm{x}+4\cos \mathrm{x}=5\mathrm{then}\sin \mathrm{x}=?$$ Commented by bobhans last updated on 25/Jun/20 $$\mathrm{let}\tan \left(\frac{\mathrm{x}}{2}\right)=\mathrm{t},\Rightarrow \sin \mathrm{x}=\frac{2\mathrm{t}}{1+{\mathrm{t}}^2},\cos \mathrm{x}=\frac{1-{\mathrm{t}}^2}{1+{\mathrm{t}}^2}$$$$\Leftrightarrow\frac{\mathrm{6t}+\mathrm{4}−\mathrm{4t}^{\mathrm{2}}…