Question

If $z$ represents a complex number then $\arg \left(z\right)+\arg \left(\overline{z}\right)$ is

• A. $\frac{\pi }{4}$
• B. $\frac{\pi }{2}$
• C. $0$
• D. $-\frac{\pi }{4}$

Answer 1

Answer: (C)

$0$

$\arg \left(z\right)+\arg \left(\overline{z}\right)$

$=\arg \left(z\overline{z}\right)$

$=\arg \left(|z{|}^2\right)$

$=\arg \left(\text{real number}\right)=0$

Use the basic properties