Question:
The principal value of the argument of the complex number 1 –i is ____________.
Solution:
Since $z=1-i=1+i(-1)$
here $\theta=\tan ^{-1}\left|\frac{-1}{1}\right|$
$\theta=\tan ^{-1} 1=\frac{\pi}{y}$
Since z lies in 4th quadrant.
$\therefore$ argument is given by $\frac{-\pi}{y}$
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