Menu Close

Category: Algebra

lim-x-pi-3-tan-2-x-3-tanx-cos-x-pi-6-

Question Number 142444 by mathdanisur last updated on 31/May/21 $$\underset{{x}\rightarrow\frac{\pi}{\mathrm{3}}} {{lim}}\:\frac{{tan}^{\mathrm{2}} {x}−\sqrt{\mathrm{3}}{tanx}}{{cos}\left({x}+\frac{\pi}{\mathrm{6}}\right)}=? \\ $$ Answered by bramlexs22 last updated on 31/May/21 $$\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{3}}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:^{\mathrm{2}} {x}−\sqrt{\mathrm{3}}\:\mathrm{tan}\:{x}}{\mathrm{cos}\:\left({x}+\frac{\pi}{\mathrm{6}}\right)}\:=? \\…

z-3-2i-1-i-z-z-

Question Number 11355 by uni last updated on 21/Mar/17 $$\mathrm{z}+\mathrm{3}−\mathrm{2i}=\left(\mathrm{1}+\mathrm{i}\right)×\overset{−} {\mathrm{z}}\:\Rightarrow\mid\mathrm{z}\mid=? \\ $$ Answered by sou1618 last updated on 22/Mar/17 $${set}\:{a},{b}:\:\mathbb{R} \\ $$$$\:\:{z}={a}+{bi}\:,\bar {{z}}={a}−{bi} \\…

z-z-9-3i-Re-z-

Question Number 11334 by uni last updated on 20/Mar/17 $$\mathrm{z}+\mid\mathrm{z}\mid=\mathrm{9}−\mathrm{3i}\Rightarrow\mathrm{Re}\left(\mathrm{z}\right) \\ $$ Answered by mrW1 last updated on 20/Mar/17 $${z}={a}+{bi} \\ $$$$\mid{z}\mid=\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} } \\…