Question Number 88218 by mathocean1 last updated on 09/Apr/20 Commented by mathocean1 last updated on 09/Apr/20 $$\mathrm{This}\:\mathrm{is}\:\mathrm{face}\:\mathrm{view}\:\mathrm{of}\:\mathrm{an}\:\mathrm{evacuation}\: \\ $$$$\mathrm{canal}.\:\mathrm{It}\:\mathrm{has}\:\mathrm{a}\:\mathrm{trapeze}\:\mathrm{form}.\:\mathrm{4m} \\ $$$$\mathrm{represents}\:\mathrm{its}\:\mathrm{small}\:\mathrm{base}. \\ $$$$\left.\mathrm{1}\right)\:\mathrm{Determinate}\:\:\theta\:\in\:\left[\mathrm{60};\mathrm{90}\right]\:\mathrm{such}\:\mathrm{as}\:\mathrm{the}\: \\ $$$$\mathrm{capacity}\:\mathrm{of}\:\mathrm{canal}\:\mathrm{is}\:\mathrm{maximal}.…
Question Number 153742 by Babatunde last updated on 09/Sep/21 Answered by liberty last updated on 10/Sep/21 $${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 22649 by ajfour last updated on 21/Oct/17 Commented by ajfour last updated on 21/Oct/17 $${solution}\:{to}\:{Q}.\mathrm{22599} \\ $$ Answered by ajfour last updated on…
Question Number 153708 by liberty last updated on 09/Sep/21 Answered by MJS_new last updated on 09/Sep/21 $$\left(\mathrm{1}\right)\:\mathrm{200}{x}+\mathrm{160}{y}=\mathrm{300} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{200}\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }=\mathrm{160}\sqrt{\mathrm{1}−{y}^{\mathrm{2}} } \\ $$$$ \\ $$$$\left(\mathrm{1}\right)\:{y}=\frac{\mathrm{15}−\mathrm{10}{x}}{\mathrm{8}}…
Question Number 22576 by ajfour last updated on 20/Oct/17 Commented by ajfour last updated on 20/Oct/17 $${Q}.\:\mathrm{22536}\:\left({Alternate}\:{solution}\right) \\ $$ Answered by ajfour last updated on…
Question Number 22536 by NECx last updated on 20/Oct/17 $${show}\:{that}\:\frac{\left({a}+{b}+{c}\right)^{\mathrm{2}} }{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }= \\ $$$$\frac{\mathrm{cot}\:\frac{\mathrm{1}}{\mathrm{2}}{A}+\mathrm{cot}\:\frac{\mathrm{1}}{\mathrm{2}}{B}+\mathrm{cot}\:\frac{\mathrm{1}}{\mathrm{2}}{C}}{\mathrm{cot}\:{A}+\mathrm{cot}\:{B}+\mathrm{cot}\:{C}} \\ $$$$ \\ $$$$ \\ $$$${please}\:{help} \\ $$ Commented…
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