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prove-that-cot5x-1-10tan-2-x-5tan-4-x-tan-5-x-10tan-3-x-5tanx-

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}} \\…

the-sum-of-the-first-three-terms-of-an-AP-is-21-and-the-sum-of-the-first-five-terms-is-55-find-1-the-first-term-2-common-difference-3-the-sum-of-the-first-ten-term-of-the-sequence-

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-123210

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}} \\…

five-terms-the-area-enclosed-by-the-curve-y-x-4-y-x-2-and-x-a-equals-three-times-the-area-enclosed-y-x-3-y-x-2-and-the-line-x-a-determine-a-and-the-ratio-of-the-volume-formed-by-the-rotation-of-

Question Number 123201 by aurpeyz last updated on 24/Nov/20 $${five}\:{terms}\:{the}\:{area}\:{enclosed}\:{by}\:{the} \\ $$$${curve}\:{y}={x}^{\mathrm{4}} \:{y}={x}^{\mathrm{2}} \:{and}\:{x}={a}\:{equals}\:{three} \\ $$$${times}\:{the}\:{area}\:{enclosed}\:{y}={x}^{\mathrm{3}} \:{y}={x}^{\mathrm{2}} \\ $$$${and}\:{the}\:{line}\:{x}={a}.\:{determine}\:{a}\:{and}\:{the} \\ $$$${ratio}\:{of}\:{the}\:{volume}\:{formed}\:{by}\:{the}\: \\ $$$${rotation}\:{of}\:{this}\:{area}\:{about}\:{the}\:{x}\:{axis} \\ $$…

tan193-k-cos167-

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} \\…

Question-188726

Question Number 188726 by 073 last updated on 06/Mar/23 Commented by mr W last updated on 06/Mar/23 $${in}\:{arabic}\:{you}\:{write}\:{from}\:{right}\:{to}\:{left}. \\ $$$${when}\:{you}\:{write}\:{something}\:{like}\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{24}\: \\ $$$${do}\:{you}\:{mean}\:{forty}\:{two}\:{or}\:{twenty}\:{four}? \\…