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if-z-1-i-3-2-find-arg-z-




Question Number 136514 by mohammad17 last updated on 22/Mar/21
if z=((1−i(√3))/2)  find arg(−z)
$${if}\:{z}=\frac{\mathrm{1}−{i}\sqrt{\mathrm{3}}}{\mathrm{2}}\:\:{find}\:{arg}\left(−{z}\right) \\ $$
Answered by mr W last updated on 22/Mar/21
−z=−(1/2)+((√3)/2)i  arg(−z)=((2π)/3)=120°
$$−{z}=−\frac{\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}{i} \\ $$$${arg}\left(−{z}\right)=\frac{\mathrm{2}\pi}{\mathrm{3}}=\mathrm{120}° \\ $$

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