Question

If $z$ is a non-zero complex number, then $arg\left(z\right)+arg\left(\overline{z}\right)$ equals

• A. $0$
• B. $\pi$
• C. $2\pi$
• D. None of thees

Answer 1

The correct option is A $0$

Let $z=x+iy$

$\overline{z}=x-iy$

$arg\left(z\right)=\frac{y}{x},arg\left(\overline{z}\right)=-\frac{y}{x}$

$arg\left(z\right)+arg\left(\overline{z}\right)=0$