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  4. If z=(1-i √3/1+i √3), then arg (z)=

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Q. If $z=\frac{1-i \sqrt{3}}{1+i \sqrt{3}}$, then $\arg (z)=$

Complex Numbers and Quadratic Equations

Solution:

$z=\frac{1-i \sqrt{3}}{1+i \sqrt{3}}=\frac{2 e^{-i \frac{\pi}{3}}}{2 e^{i \frac{\pi}{3}}}=e^{-i \frac{2 \pi}{3}}$
$-\frac{2 \pi}{3}=-120^{\circ} \approx 240^{\circ}$