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

- $i,-i$
- $\cos(-\frac{\pi }{4} )+i\sin(-\frac{\pi }{4})+\cos(\frac{3\pi }{4})+i\sin(\frac{3\pi }{4})$
- $\cos(\frac{\pi }{4} )+i\sin(\frac{3\pi }{4})+\cos(\frac{3\pi }{4})+i\sin(\frac{\pi }{4})$
- $\cos(\frac{3\pi }{4} )+i\sin(-\frac{3\pi }{4})+\cos(-\frac{3\pi }{4})+i\sin(\frac{3\pi }{4})$

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