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Square roots of $-i$,where $i=\sqrt{-1}$, are

  1. $i,-i$
  2. $cos(-\frac{\pi }{4} )+isin(-\frac{\pi }{4})+cos(\frac{3\pi }{4})+isin(\frac{3\pi }{4})$
  3. $cos(\frac{\pi }{4} )+isin(\frac{3\pi }{4})+cos(\frac{3\pi }{4})+isin(\frac{\pi }{4})$
  4. $cos(\frac{3\pi }{4} )+isin(-\frac{3\pi }{4})+cos(-\frac{3\pi }{4})+isin(\frac{3\pi }{4})$
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