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Q. If $ z=1-i, $ then principal value of $arg (z)$ equals to

J & K CETJ & K CET 2012Complex Numbers and Quadratic Equations

Solution:

Given, $ z=1-i $ Here, given point z lies in IVth quadrant.
$ \therefore $ $ \arg \,\,(z)=-{{\tan }^{-1}}\left( \frac{1}{1} \right) $ $ =-\frac{\pi }{4} $