The argument of the complex number  is equal to

Concept Used:

The argument of a complex number z = x + iy is the angle θ such that x = r cos θ and y = r sin θ, where r = √(x² + y²) is the modulus of z.

To find the argument, we first simplify the complex number and then use the formula: θ = arctan(y/x).

Calculation:

First, simplify the complex number:

This complex number is , so x = 0 and y = .

Now, we find the argument θ:

Since x = 0 and y > 0, the complex number lies on the positive imaginary axis.

Therefore, the argument is .

∴ The argument of the complex number is .

Hence option 4 is correct