Question Number 18904 by Satyamtt last updated on 01/Aug/17 $${Solve}\:{the}\:{triangle}\:{in}\:{which}\:{a}=\left(\sqrt{\mathrm{3}}+\mathrm{1}\right),\: \\ $$$${b}=\left(\sqrt{\mathrm{3}}−\mathrm{1}\right)\:{and}\:\angle{C}=\mathrm{60}°. \\ $$$$ \\ $$ Answered by behi.8.3.4.1.7@gmail.com last updated on 01/Aug/17 $${c}^{\mathrm{2}} ={a}^{\mathrm{2}}…
Question Number 84430 by M±th+et£s last updated on 12/Mar/20 Commented by mr W last updated on 12/Mar/20 $${f}\left(\mathrm{2}\right)=\mathrm{2}^{\mathrm{2}} =\mathrm{4} \\ $$ Commented by M±th+et£s last…
Question Number 18893 by Tinkutara last updated on 01/Aug/17 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{values}\:\mathrm{of}\:{x},\:{y}\:\mathrm{and}\:{k}\:\mathrm{for}\:\mathrm{which} \\ $$$$\mathrm{the}\:\mathrm{system}\:\mathrm{of}\:\mathrm{equations} \\ $$$$\mathrm{sin}\:{x}\:\mathrm{cos}\:\mathrm{2}{y}\:=\:{k}^{\mathrm{4}} \:−\:\mathrm{2}{k}^{\mathrm{2}} \:+\:\mathrm{2} \\ $$$$\mathrm{cos}\:{x}\:\mathrm{sin}\:\mathrm{2}{y}\:=\:{k}\:+\:\mathrm{1} \\ $$$$\mathrm{has}\:\mathrm{a}\:\mathrm{solution}. \\ $$ Answered by 433…
Question Number 18892 by Tinkutara last updated on 01/Aug/17 $$\mathrm{If}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{sin6}{x}\:+\:\mathrm{cos4}{x}\:=\:−\mathrm{2}\:\mathrm{have} \\ $$$$\mathrm{a}\:\mathrm{family}\:\mathrm{of}\:\mathrm{nonnegative}\:\mathrm{solutions}\:{x}_{{k}} '\mathrm{s}, \\ $$$$\mathrm{where}\:\mathrm{0}\:\leqslant\:{x}_{\mathrm{1}} \:<\:{x}_{\mathrm{2}} \:<\:{x}_{\mathrm{3}} \:<\:….\:<\:{x}_{{k}} \:<\:{x}_{{k}+\mathrm{1}} \\ $$$$…..,\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{1}}{\pi}\underset{{k}=\mathrm{1}} {\overset{\mathrm{1000}} {\sum}}\mid{x}_{{k}+\mathrm{1}} \:−\:{x}_{{k}} \mid\:\mathrm{is}…
Question Number 18891 by Tinkutara last updated on 01/Aug/17 $$\mathrm{If}\:\mathrm{angles}\:{A}\:\mathrm{and}\:{B}\:\mathrm{satisfy}\:\sqrt{\mathrm{2}}\:\mathrm{cos}\:{A}\:= \\ $$$$\mathrm{cos}\:{B}\:+\:\mathrm{cos}^{\mathrm{3}} \:{B}\:\mathrm{and}\:\sqrt{\mathrm{2}}\:\mathrm{sin}\:{A}\:=\:\mathrm{sin}\:{B}\:− \\ $$$$\mathrm{sin}^{\mathrm{3}} \:{B},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{1620sin}^{\mathrm{2}} \left({A}\:−\:{B}\right) \\ $$$$\mathrm{is} \\ $$ Answered by behi.8.3.4.1.7@gmail.com last…
Question Number 18889 by Joel577 last updated on 01/Aug/17 $$\int\:\frac{{d}\left(\sqrt{\mathrm{3}{x}}\right)}{\:\sqrt{\sqrt{{x}}\:+\:\mathrm{7}}} \\ $$ Commented by Joel577 last updated on 01/Aug/17 $$\mathrm{I}\:\mathrm{got}\:\mathrm{2}\sqrt{\mathrm{3}\left(\sqrt{{x}}\:+\:\mathrm{7}\right)}\:+\:{C} \\ $$$$\mathrm{is}\:\mathrm{it}\:\mathrm{correct}? \\ $$ Commented…
Question Number 149962 by john_santu last updated on 08/Aug/21 $$\:\lfloor{x}\rfloor+\lfloor{y}\rfloor=\mathrm{43}.\mathrm{8}\:{and}\:{x}+{y}−\lfloor{x}\rfloor=\mathrm{18}.\mathrm{4} \\ $$$$.{Find}\:\mathrm{100}\left({x}+{y}\right). \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 149959 by Mathfinity last updated on 08/Aug/21 Commented by john_santu last updated on 08/Aug/21 Commented by john_santu last updated on 08/Aug/21 Commented by…
Question Number 84420 by Power last updated on 12/Mar/20 Commented by Power last updated on 12/Mar/20 $$\mathrm{prove}\:\mathrm{it} \\ $$ Commented by Power last updated on…