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Let $z_1$ and $z_2$ be two non-zero complex numbers. Then
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Principal value of $\arg \left(z_1 z_2\right)$ may not be equal to Principal value of arg $z_1+$ Principal value of arg $z_2$, Principal value of $\arg \left(z_1 / z_2\right)$ may not be $\arg z_1-\arg z_2$
$\arg \left(z_1 z_2\right)=\operatorname{argz_{1}}+\operatorname{argz_{2}}+2 k \pi$
$\arg \left(z_1 / z_2\right)=\operatorname{argz_{1}}-\operatorname{argz_{2}}+2 \mathrm{k} \pi$
$\arg \left(z_1 / z_2\right)=\operatorname{argz_{1}}-\operatorname{argz_{2}}+2 \mathrm{k} \pi$
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