Question: Write the argument of −i.
Solution:
Let $z=-i$
Then, $\operatorname{Re}(z)=0, \operatorname{Im}(z)=-1$
Since, the point $(0,-1)$ representing $z=0-i$ lies on negative direction of imaginary axis.
Therefore,
$\arg (z)=\frac{-\pi}{2}$ or $\frac{3 \pi}{2}$