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if-Z-is-any-boint-on-the-circle-Z-1-1-prove-that-arg-Z-1-2arg-Z-2-3-arg-Z-2-Z-




Question Number 130186 by mohammad17 last updated on 23/Jan/21
if Z is any boint on the circle ∣Z−1∣=1    prove that arg(Z−1)=2arg(Z)=(2/3)arg(Z^2 −Z)
$${if}\:{Z}\:{is}\:{any}\:{boint}\:{on}\:{the}\:{circle}\:\mid{Z}−\mathrm{1}\mid=\mathrm{1} \\ $$$$ \\ $$$${prove}\:{that}\:{arg}\left({Z}−\mathrm{1}\right)=\mathrm{2}{arg}\left({Z}\right)=\frac{\mathrm{2}}{\mathrm{3}}{arg}\left({Z}^{\mathrm{2}} −{Z}\right) \\ $$
Commented by mohammad17 last updated on 23/Jan/21
?????
$$????? \\ $$
Answered by mathmax by abdo last updated on 26/Jan/21
this exercise is solved
$$\mathrm{this}\:\mathrm{exercise}\:\mathrm{is}\:\mathrm{solved} \\ $$

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