Question Number 179269 by mnjuly1970 last updated on 27/Oct/22 $$ \\ $$$$\:\:\:{what}\:{is}\:{the}\:{periodicity}\: \\ $$$${of}\:{thefollowing}\:{function}? \\ $$$$ \\ $$$$\:{f}\left({x}\right)={cot}\left({x}\right)−{tan}\left({x}\right)−\mathrm{2}{tan}\left(\mathrm{2}{x}\right)−\mathrm{4}{tan}\left(\mathrm{4}{x}\right) \\ $$$$ \\ $$$$ \\ $$ Commented…
Question Number 179253 by mathlove last updated on 27/Oct/22 $$\left({fog}\right)_{{x}} ={cos}\mathrm{2}{x}\:\:{and}\:{g}\left({x}\right)={tanx} \\ $$$${f}\left({x}\right)=? \\ $$ Commented by CElcedricjunior last updated on 30/Oct/22 $$\left({fog}\right)\left({x}\right)=\boldsymbol{{cos}}\mathrm{2}\boldsymbol{{x}}\:\boldsymbol{{o}}\grave {\boldsymbol{{u}}}\:\boldsymbol{\mathrm{g}}\left(\boldsymbol{\mathrm{x}}\right)=\boldsymbol{\mathrm{tanx}} \\…
Question Number 179242 by Acem last updated on 27/Oct/22 $${f}\left({x}+\mathrm{1}\right)=\:\mathrm{2}{x}−\mathrm{5}\:,\:{find}\:{the}\:{value}\:{of}\:{the}\:{f}\left({x}\right)\:{at}\:{x}=\mathrm{2} \\ $$ Commented by Rasheed.Sindhi last updated on 27/Oct/22 $${x}=\mathrm{1}:\:{f}\left(\mathrm{2}\right)=\mathrm{2}\left(\mathrm{1}\right)−\mathrm{5}=−\mathrm{3} \\ $$ Answered by Rasheed.Sindhi…
Question Number 48161 by gunawan last updated on 20/Nov/18 $${f}\left({z}\right)=\frac{\mathrm{1}−{z}}{\mathrm{1}+{z}} \\ $$$${u}\left({x},{y}\right)=.. \\ $$$${v}\left({x},{y}\right)=.. \\ $$$$ \\ $$$$ \\ $$ Commented by maxmathsup by imad…
Question Number 179230 by mathlove last updated on 26/Oct/22 $${f}\left({x}+{y}\right)={f}\left({x}\right)+{f}\left({y}\right)+{x}\centerdot{y} \\ $$$${and}\:{f}\left(\mathrm{4}\right)=\mathrm{10}\:\:{faind}\:\:{f}\left(\mathrm{2022}\right)=? \\ $$ Answered by mr W last updated on 26/Oct/22 $${let}\:{x}=\mathrm{1},\:{y}={n}−\mathrm{1} \\ $$$${f}\left({n}\right)={f}\left(\mathrm{1}\right)+{f}\left({n}−\mathrm{1}\right)+{n}−\mathrm{1}…
Question Number 179226 by mnjuly1970 last updated on 26/Oct/22 Commented by mnjuly1970 last updated on 26/Oct/22 $$\:\:\:{prove}\:\Uparrow\Uparrow \\ $$ Answered by Acem last updated on…
Question Number 179195 by mathlove last updated on 26/Oct/22 $${a}+\frac{\mathrm{1}}{{b}}={tan}\mathrm{59} \\ $$$${b}+\frac{\mathrm{1}}{{c}}={tan}\mathrm{60} \\ $$$${c}+\frac{\mathrm{1}}{{a}}={tan}\mathrm{61} \\ $$$$\left({abc}\right)^{\mathrm{2022}} +\frac{\mathrm{1}}{\left({abc}\right)^{\mathrm{2022}} }=? \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 179157 by Agnibhoo98 last updated on 25/Oct/22 $$\mathrm{If}\:{x}\:=\:{a}^{\mathrm{2}} −\:{bc},\:{y}\:=\:{b}^{\mathrm{2}} \:−\:{ca},\:{z}\:=\:{c}^{\mathrm{2}} \:−\:{ab} \\ $$$$\mathrm{then}\:\mathrm{prove}\:\mathrm{that}, \\ $$$${x}^{\mathrm{3}} \:+\:{y}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:−\:\mathrm{3}{xyz}\:\mathrm{is}\:\mathrm{a}\:\mathrm{perfect}\:\mathrm{square}. \\ $$ Answered by som(math1967)…
Question Number 179140 by Shrinava last updated on 25/Oct/22 $$\frac{\mathrm{1}}{\mathrm{3a}}\:=\:\frac{\mathrm{1}}{\mathrm{4b}}\:=\:\frac{\mathrm{1}}{\mathrm{6c}}\:\:\:\mathrm{and}\:\:\:\mathrm{a}+\mathrm{b}+\mathrm{c}=\mathrm{27} \\ $$$$\mathrm{find}\:\:\:\mathrm{a}−\mathrm{c}=? \\ $$ Answered by Frix last updated on 25/Oct/22 $${a}=\mathrm{4}{t} \\ $$$${b}=\mathrm{3}{t} \\…
Question Number 48075 by MJS last updated on 19/Nov/18 $$\mathrm{solve}\:\:\:\:\:\left(\mid{x}^{\mathrm{2}} −\mathrm{1}\mid−\frac{\mathrm{1}}{\mathrm{2}}\right){x}+\frac{\sqrt{\mathrm{6}}}{\mathrm{18}}=\mathrm{0} \\ $$ Commented by MJS last updated on 19/Nov/18 $$\mathrm{case}\:\mathrm{1} \\ $$$${x}<−\mathrm{1} \\ $$$${x}^{\mathrm{3}}…