Question Number 153568 by liberty last updated on 08/Sep/21 $${solve}\:{in}\:{x}\in\mathbb{C} \\ $$$$\:\mathrm{sin}\:{x}=\frac{\mathrm{3}}{\mathrm{2}} \\ $$$$ \\ $$ Answered by Ar Brandon last updated on 08/Sep/21 $$\mathrm{sin}{x}=\frac{\mathrm{3}}{\mathrm{2}}\:\Rightarrow{e}^{{ix}}…
Question Number 153532 by talminator2856791 last updated on 08/Sep/21 $$\: \\ $$$$\:\mathrm{sin}\left(\mathrm{sin}\left(\mathrm{sin}\left({x}^{\mathrm{2}\pi{x}} −\mathrm{1}\right)\right)\right)\:=\:\mathrm{cos}\left(\mathrm{cos}\left(\mathrm{cos}\left({x}^{\mathrm{2}{ex}} +\mathrm{1}\right)\right)\right)\: \\ $$$$\:{x}\:=\:? \\ $$$$\: \\ $$ Terms of Service Privacy Policy…
Question Number 153483 by cherokeesay last updated on 07/Sep/21 Commented by mr W last updated on 07/Sep/21 $${there}\:{is}\:{no}\:{unique}\:{answer}! \\ $$$${examples}: \\ $$$$\mathrm{sin}\:{x}=\frac{\mathrm{3}}{\mathrm{5}},\:\mathrm{cos}\:{y}=\frac{\mathrm{4}}{\mathrm{5}}\: \\ $$$$\Rightarrow\frac{\mathrm{1}}{\mathrm{sin}\:{x}}+\frac{\mathrm{1}}{\mathrm{cos}\:{y}}=\frac{\mathrm{5}}{\mathrm{3}}+\frac{\mathrm{5}}{\mathrm{4}}=\frac{\mathrm{35}}{\mathrm{12}} \\…
Question Number 22347 by Tinkutara last updated on 16/Oct/17 $$\mathrm{Total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{solutions}\:\mathrm{of}\:\mid\mathrm{cot}\:{x}\mid\:= \\ $$$$\mathrm{cot}\:{x}\:+\:\frac{\mathrm{1}}{\mathrm{sin}\:{x}},\:{x}\:\in\:\left[\mathrm{0},\:\mathrm{3}\pi\right]\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 22348 by Tinkutara last updated on 16/Oct/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{all}\:\mathrm{the}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\mathrm{1}\:+\:\mathrm{2}\:\mathrm{cosec}\:{x}\:=\:−\frac{\mathrm{sec}^{\mathrm{2}} \:\frac{{x}}{\mathrm{2}}}{\mathrm{2}}\:\mathrm{in} \\ $$$$\mathrm{the}\:\mathrm{interval}\:\left[\mathrm{0},\:\mathrm{4}\pi\right]\:\mathrm{is}\:{n}\pi,\:\mathrm{where}\:{n}\:\mathrm{is} \\ $$$$\mathrm{equal}\:\mathrm{to} \\ $$ Answered by ajfour last updated on…
Question Number 22268 by Sanjay Deore last updated on 14/Oct/17 $$\mathrm{if}\:\mathrm{tanx}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\:\mathrm{or}\:\mathrm{other}\:\left(\mathrm{except}\:\mathrm{standard}\:\right. \\ $$$$\left.\mathrm{values}\right)\:\mathrm{how}\:\mathrm{to}\:\mathrm{find}\:\mathrm{x} \\ $$ Commented by $@ty@m last updated on 14/Oct/17 $${using}\:{trigonometric}\:{tables} \\ $$…
Question Number 22116 by ajfour last updated on 11/Oct/17 Commented by ajfour last updated on 11/Oct/17 $${to}\:{prove}\::\:\:\left({b}+{c}\right)^{\mathrm{2}} \:\geqslant\:{a}^{\mathrm{2}} +\mathrm{4}{h}_{{a}} ^{\mathrm{2}} \:. \\ $$$${see}\:\:\:{Q}.\mathrm{22079}\:\: \\ $$…
Question Number 87624 by john santu last updated on 05/Apr/20 $$\mathrm{find}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{cos}\:^{\mathrm{2}} \mathrm{w}\:+ \\ $$$$\mathrm{sec}\:^{\mathrm{2}} \mathrm{w}\: \\ $$ Commented by john santu last updated on 05/Apr/20…
Question Number 153152 by puissant last updated on 05/Sep/21 $$\int\:\sqrt{{x}^{\mathrm{3}} +\mathrm{1}}\:{dx} \\ $$ Answered by peter frank last updated on 05/Sep/21 $$\mathrm{u}=\sqrt{\mathrm{x}^{\mathrm{3}} +\mathrm{1}} \\ $$$$\mathrm{u}^{\mathrm{2}}…
Question Number 153056 by DELETED last updated on 04/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com