The complex number \( z=\frac{i-1}{\cos \frac{\pi}{3}+i\sin \frac{\pi}{3}} \) is equal to:
\( \cos \frac{\pi}{12}-i\sin \frac{\pi}{12} \)
\( \sqrt{2}\left(\cos \frac{5\pi}{12}+i\sin \frac{5\pi}{12}\right) \)
\( \sqrt{2}\,i\!\left(\cos \frac{5\pi}{12}-i\sin \frac{5\pi}{12}\right) \)
\( \sqrt{2}\left(\cos \frac{\pi}{12}+i\sin \frac{\pi}{12}\right) \)
