Question Number 137637 by Dwaipayan Shikari last updated on 04/Apr/21 $$\boldsymbol{\mathrm{Prove}}\:\boldsymbol{\mathrm{or}}\:\boldsymbol{\mathrm{disprove}} \\ $$$$\frac{{cos}\left(\mathrm{1}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right)\boldsymbol{\pi}}{\mathrm{1}^{\mathrm{2}} }+\frac{{cos}\left(\mathrm{1}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right)\mathrm{2}\pi}{\mathrm{2}^{\mathrm{2}} }+\frac{{cos}\left(\mathrm{1}+\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right)\mathrm{3}\pi}{\mathrm{3}^{\mathrm{2}} }+…=\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6564 by Yozzii last updated on 03/Jul/16 $${Let}\:\phi=\left\{\:{l}_{\mathrm{1}} \:,\:{l}_{\mathrm{2}} \:,\:{l}_{\mathrm{3}} \:\right\}\:{be}\:{a}\:{set}\:{of}\:{three},\:{nonparallel} \\ $$$${lines}\:{that}\:{all}\:{meet}\:{at}\:{one}\:{point}\:{R}\:{in}\: \\ $$$${the}\:{plane}.\:{Investigate}\:{conditions}\:{on}\:\phi \\ $$$${such}\:{that}\:{R}\:{is}\:{the}\:{centroid}\:{of}\:{some}\:{triangle}. \\ $$$$ \\ $$$$ \\ $$…
Question Number 137635 by Dwaipayan Shikari last updated on 04/Apr/21 Commented by Dwaipayan Shikari last updated on 04/Apr/21 $${A}\:{friend}\:{of}\:{mine}\:{sent}\:{me}\:{this}.\:{I}\:{am}\:{posting}\:{this}\:{behalf}\:{of} \\ $$$${him} \\ $$ Terms of…
Question Number 137634 by mey3nipaba last updated on 04/Apr/21 $${x}=\mathrm{2}^{{p}\:} {and}\:{y}=\mathrm{2}^{{q}\:} .\:{Evaluate}\:{in}\:{terms}\:{of}\:{x}\:{and}/\:{or}\:{y}\: \\ $$$$\left({i}\right)\mathrm{2}^{{p}+{q}} \:\:\left({ii}\right)\:\mathrm{2}^{\mathrm{2}{q}\:} \:\:\:\left({iii}\right)\:\mathrm{2}^{{p}−\mathrm{1}} \\ $$ Answered by mr W last updated on…
Question Number 6558 by Tawakalitu. last updated on 02/Jul/16 $${If}\:\:{secx}\:−\:{tanx}\:=\:\frac{\mathrm{1}}{\mathrm{4}} \\ $$$${find}\:\:\:{secx}\:+\:{tanx} \\ $$ Commented by Tawakalitu. last updated on 02/Jul/16 $$ \\ $$$$ \\…
Question Number 72093 by naka3546 last updated on 24/Oct/19 $${a},\:{b},\:{c},\:{d},\:{e},\:{f},\:{g},\:{h},\:{i},\:{j}\:\:\:{are}\:\:\:{different}\:\:{nonnegative}\:\:{integers}\:. \\ $$$${Find}\:\:{all}\:\:{numbers}\:\:{that}\:\:{satisfy} \\ $$$$\:\:\:\:\:{a}\:×\:{bc}\:×\:{def}\:\:=\:\:{ghij} \\ $$ Commented by prakash jain last updated on 24/Oct/19 $${abcdef}={ghij}?…
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Question Number 137624 by Lordose last updated on 04/Apr/21 $$\frac{\boldsymbol{\mathrm{dy}}}{\boldsymbol{\mathrm{dx}}}\:=\:\frac{\mathrm{6}\boldsymbol{\mathrm{xy}}+\boldsymbol{\mathrm{y}}^{\mathrm{2}} }{\boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{y}}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 6553 by Rasheed Soomro last updated on 01/Jul/16 Commented by Rasheed Soomro last updated on 01/Jul/16 $$\bullet\mid{AB}\mid={c},\:\mid{BC}\mid={a},\:\mid{CA}\mid={b} \\ $$$$\bullet\overset{\leftrightarrow} {{AE}}\:,\:\overset{\leftrightarrow} {{BF}}\:,\:\overset{\leftrightarrow} {{CD}}\:\:{are}\:\boldsymbol{{angular}}\:\boldsymbol{{bisectors}} \\…