The argument of the complex number ( i 2 -2 i ) is equal to - Vidyadip

MCQ

The argument of the complex number $\left(\frac{ i }{2}-\frac{2}{ i }\right)$ is equal to

A
$\frac{\pi}{4}$
B
$\frac{3 \pi}{4}$
C
$\frac{\pi}{12}$
✓
$\frac{\pi}{2}$

✓

Answer

Correct option: D.

$\frac{\pi}{2}$

(D)
$\frac{ i }{2}-\frac{2}{ i }=\frac{ i }{2}-\frac{2 i }{ i ^2}=\frac{ i }{2}+2 i =\frac{5}{2} i$
So, argument is $\frac{\pi}{2}$.

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