If $- \pi

Question

If $- \pi < \arg{(z) < - \frac{\pi}{2}}$ then $\arg{\left( \overline{z} \right) - \arg{( - \overline{z})}}$ is

Dr. Abubacker · Accepted Answer

(a)
If $\arg{(z) = - \pi + 	heta}$
$\Rightarrow \ \ \ \ \ \ \arg{\left( \overline{z} ight) = \pi - 	heta}$
$\arg{\left( - \overline{z} ight) = - 	heta}$
$\arg{\left( \overline{z} ight) - \arg{\left( - \overline{z} ight) = \pi - 	heta - ( - 	heta) = \pi - 	heta + 	heta = \pi}}$

Q. If $- \pi < \arg{(z) < - \frac{\pi}{2}}$ then $\arg{\left( \overline{z} \right) - \arg{( - \overline{z})}}$ is

Explanation

Reviewed by Dr. Abubacker

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