1.
If zz and ww are two complex numbers such that ∣zw∣=1|zw| = 1 and arg⁡(z)−arg⁡(w)=3π2\arg(z) - \arg(w) = \dfrac{3\pi}{2}, then arg⁡(1−2zˉw1+3zˉw)\arg\left(\dfrac{1 - 2\bar{z}w}{1 + 3\bar{z}w}\right) is:

(Here arg⁡(z)\arg(z) denotes the principal argument of complex number zz.)