Question Number 165995 by mathlove last updated on 11/Feb/22 $$\begin{cases}{{sinx}+{siny}=\frac{\mathrm{3}}{\mathrm{2}}}\\{\mathrm{2}^{\mathrm{sin}\:{x}} +\mathrm{2}^{\mathrm{sin}\:{y}} =\mathrm{2}+\sqrt{\mathrm{2}}}\end{cases}\:\:\:\:\:\:\:{faind}\:\:\:{x}=? \\ $$ Answered by alephzero last updated on 11/Feb/22 $$\begin{cases}{\mathrm{sin}\:{x}\:+\:\mathrm{cos}\:{y}\:=\:\frac{\mathrm{3}}{\mathrm{2}}}\\{\mathrm{2}^{\mathrm{sin}\:{x}} +\:\mathrm{2}^{\mathrm{cos}\:{y}} \:=\:\mathrm{2}\:+\:\sqrt{\mathrm{2}}}\end{cases} \\…
Question Number 100436 by Dwaipayan Shikari last updated on 26/Jun/20 $$\alpha=\frac{\mathrm{2}\pi}{\mathrm{7}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{tan}\alpha\mathrm{tan2}\alpha+\mathrm{tan2}\alpha\mathrm{tan4}\alpha+\mathrm{tan}\alpha\mathrm{tan4}\alpha \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34671 by math khazana by abdo last updated on 09/May/18 $${calculste}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:{arctan}\left(\frac{\mathrm{2}}{{n}^{\mathrm{2}} }\right). \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 165737 by amin96 last updated on 07/Feb/22 $$ \\ $$Let alpha is acute angle and cos alpha=3/5 prove that alpha is not r.π…
Question Number 34647 by JOHNMASANJA last updated on 09/May/18 $${if}\:\:\:{xsin}^{\mathrm{3}} \theta\:+\:{ycos}^{\mathrm{3}} \theta={sin}\theta{cos}\theta \\ $$$${and}\:{xsin}\theta\:−{ycos}\theta=\mathrm{0} \\ $$$${prove}\:{that}\:{x}^{\mathrm{2}} \:+\:{y}^{\mathrm{2}} =\mathrm{1} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated…
Question Number 34645 by JOHNMASANJA last updated on 09/May/18 $${show}\:{that}\:\mathrm{2}{tan}^{−\mathrm{1}} \mathrm{2}\:+\:{tan}^{−\mathrm{1}} \mathrm{3}= \\ $$$$\Pi\:+{tan}^{−\mathrm{1}} \frac{\mathrm{1}}{\mathrm{3}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 34646 by JOHNMASANJA last updated on 09/May/18 $${show}\:{that}\:\mathrm{2}{tan}^{−\mathrm{1}} \mathrm{2}\:+\:{tan}^{−\mathrm{1}} \mathrm{3}= \\ $$$$\Pi\:+{tan}^{−\mathrm{1}} \frac{\mathrm{1}}{\mathrm{3}} \\ $$ Answered by ajfour last updated on 09/May/18 $${let}\:\:\:\:\:\mathrm{2}\theta+\phi=\mathrm{2tan}^{−\mathrm{1}}…
Question Number 100133 by bemath last updated on 25/Jun/20 $$\mathrm{If}\:\mathrm{sin}^{−\mathrm{1}} \theta+\mathrm{sin}^{−\mathrm{1}} \beta=\pi\: \\ $$$$\theta+\beta−\frac{\mathrm{2}}{\theta^{\mathrm{2}} +\beta^{\mathrm{2}} }\:=\:? \\ $$ Answered by smridha last updated on 25/Jun/20…
Question Number 100131 by bemath last updated on 25/Jun/20 $$\mathrm{If}\:\mathrm{3sin}\:\mathrm{x}+\mathrm{4cos}\:\mathrm{x}=\mathrm{5}\:\mathrm{then}\:\mathrm{sin}\:\mathrm{x}=? \\ $$ Commented by bobhans last updated on 25/Jun/20 $$\mathrm{let}\:\mathrm{tan}\:\left(\frac{\mathrm{x}}{\mathrm{2}}\right)\:=\:\mathrm{t}\:,\:\Rightarrow\mathrm{sin}\:\mathrm{x}\:=\:\frac{\mathrm{2t}}{\mathrm{1}+\mathrm{t}^{\mathrm{2}} }\:,\:\mathrm{cos}\:\mathrm{x}=\frac{\mathrm{1}−\mathrm{t}^{\mathrm{2}} }{\mathrm{1}+\mathrm{t}^{\mathrm{2}} } \\ $$$$\Leftrightarrow\frac{\mathrm{6t}+\mathrm{4}−\mathrm{4t}^{\mathrm{2}}…
Question Number 100130 by bemath last updated on 25/Jun/20 $$\mathrm{how}\:\mathrm{many}\:\mathrm{integer}\:\mathrm{number}\: \\ $$$$\mathrm{satisfy}\:\mathrm{the}\:\mathrm{equation}\: \\ $$$$\frac{\mathrm{sin}\:\mathrm{x}−\mid\mathrm{x}+\mathrm{2}\mid}{\mathrm{x}^{\mathrm{2}} −\mathrm{4x}−\mathrm{5}}\:\geqslant\:\mathrm{0}\: \\ $$ Answered by mr W last updated on 25/Jun/20…