The value of \( \left( \frac{1 + \sin\frac{2\pi}{9} + i\cos\frac{2\pi}{9}}{1 + \sin\frac{2\pi}{9} - i\cos\frac{2\pi}{9}} \right)^3 \) is:
\( -\frac{1}{2}\left(1 - i\sqrt{3}\right) \)
\( -\frac{1}{2}\left(\sqrt{3} - i\right) \)
\( \frac{1}{2}\left(1 - i\sqrt{3}\right) \)
\( \frac{1}{2}\left(\sqrt{3} + i\right) \)
