Question Number 57700 by Nameed last updated on 10/Apr/19 $$\mathrm{R}\left(\mathrm{1}\:−\:\mathrm{cos}\theta\right)\:=\:\mathrm{0}.\mathrm{5} \\ $$$$\mathrm{Rsin}\theta\:=\:\mathrm{4} \\ $$$$\mathrm{R}\:=\:? \\ $$$$\theta\:=\:? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 10/Apr/19…
Question Number 123232 by mohammad17 last updated on 24/Nov/20 $${prove}\:{that}\:{cot}\mathrm{5}{x}=\frac{\mathrm{1}−\mathrm{10}{tan}^{\mathrm{2}} {x}+\mathrm{5}{tan}^{\mathrm{4}} {x}}{{tan}^{\mathrm{5}} {x}−\mathrm{10}{tan}^{\mathrm{3}} {x}+\mathrm{5}{tanx}}\:? \\ $$ Answered by $@y@m last updated on 24/Nov/20 $$\mathrm{tan}\:\left(\mathrm{2}{x}+\mathrm{3}{x}\right)=\frac{\mathrm{tan}\:\mathrm{2}{x}+\mathrm{tan}\:\mathrm{3}{x}}{\mathrm{1}−\mathrm{tan}\:\mathrm{2}{x}.\mathrm{tan}\:\mathrm{3}{x}} \\…
Question Number 188761 by sciencestudentW last updated on 06/Mar/23 $${How}\:{we}\:{can}\:{use}\:{the}\:{polynomial}\:{in}\: \\ $$$${daily}\:{life}?\:{please}\:{tell}\:{me}\:{an}\:{example}! \\ $$ Commented by ajfour last updated on 07/Mar/23 $${fnd}\:{a}\:{very}\:{simple}\:{formula}\:{to} \\ $$$${solve}\:{general}\:{quintic}\:{and}\:{amaze} \\…
Question Number 188758 by Humble last updated on 06/Mar/23 $${the}\:{sum}\:{of}\:{the}\:\:{first}\:{three}\:{terms} \\ $$$${of}\:{an}\:{AP}\:{is}\:\mathrm{21}\:{and}\:\:{the}\:{sum}\:{of}\:{the} \\ $$$${first}\:\:{five}\:{terms}\:{is}\:\mathrm{55}.\:{find}. \\ $$$$\left(\mathrm{1}\right)\:{the}\:{first}\:{term} \\ $$$$\left(\mathrm{2}\right)\:{common}\:{difference} \\ $$$$\left(\mathrm{3}\right)\:{the}\:{sum}\:{of}\:{the}\:{first}\:{ten}\:{term} \\ $$$${of}\:{the}\:\:{sequence} \\ $$$$ \\…
Question Number 123210 by Khalmohmmad last updated on 24/Nov/20 Answered by Lordose last updated on 24/Nov/20 $$ \\ $$$$\sqrt{\mathrm{2}+\sqrt{\mathrm{2}−\sqrt{\mathrm{2}+\mathrm{x}}}}\:=\:\mathrm{x} \\ $$$$\mathrm{2}+\sqrt{\mathrm{2}−\sqrt{\mathrm{2}+\mathrm{x}}}\:=\:\mathrm{x}^{\mathrm{2}} \\ $$$$\mathrm{2}−\sqrt{\mathrm{2}+\mathrm{x}}\:=\:\left(\mathrm{x}^{\mathrm{2}} −\mathrm{2}\right)^{\mathrm{2}} \\…
Question Number 123200 by aurpeyz last updated on 23/Nov/20 $${find}\:{the}\:{area}\:{bounded}\:{by}\:{the}\:{curve} \\ $$$${x}^{\mathrm{3}} =\mathrm{5}{y}\:{and}\:{straight}\:{line}\:{x}=\mathrm{3}{y}−\mathrm{4} \\ $$ Commented by benjo_mathlover last updated on 24/Nov/20 Commented by benjo_mathlover…
Question Number 123201 by aurpeyz last updated on 24/Nov/20 $${five}\:{terms}\:{the}\:{area}\:{enclosed}\:{by}\:{the} \\ $$$${curve}\:{y}={x}^{\mathrm{4}} \:{y}={x}^{\mathrm{2}} \:{and}\:{x}={a}\:{equals}\:{three} \\ $$$${times}\:{the}\:{area}\:{enclosed}\:{y}={x}^{\mathrm{3}} \:{y}={x}^{\mathrm{2}} \\ $$$${and}\:{the}\:{line}\:{x}={a}.\:{determine}\:{a}\:{and}\:{the} \\ $$$${ratio}\:{of}\:{the}\:{volume}\:{formed}\:{by}\:{the}\: \\ $$$${rotation}\:{of}\:{this}\:{area}\:{about}\:{the}\:{x}\:{axis} \\ $$…
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Question Number 123199 by aurpeyz last updated on 23/Nov/20 $${sketch}\:{the}\:{curve}\:{of}\:{y}=\frac{{x}^{\mathrm{2}} −\mathrm{1}}{{x}^{\mathrm{2}} −\mathrm{7}{x}−\mathrm{12}} \\ $$ Answered by MJS_new last updated on 24/Nov/20 $${y}=\frac{{x}^{\mathrm{2}} −\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{12}} \\…
Question Number 188725 by 073 last updated on 06/Mar/23 $$\mathrm{tan193}=\mathrm{k} \\ $$$$\mathrm{cos167}=? \\ $$ Answered by BaliramKumar last updated on 06/Mar/23 $${tan}\mathrm{193}\:=\:{k} \\ $$$${tan}\left(\mathrm{180}+\mathrm{13}\right)=\:{tan}\mathrm{13}\:=\:{k} \\…