Question

If \[ z=\frac{(1-i)^2}{(-\sqrt3+i)^3}, \] then the principal amplitude of \(z\) is

• A. \(-\frac{\pi}{2}\)
• B. \(\frac{\pi}{2}\)
• C. \(\pi\)
• D. \(-\frac{\pi}{3}\) \bigskip

Hint:

Always reduce the final argument to the principal interval \[ (-\pi,\pi]. \] before selecting the answer.

Answer 1

The Correct Option is C