If \[i{{z}^{4}}+1=0\], then \[z\] can take the value [UPSEAT 2004]

1.	If \[i{{z}^{4}}+1=0\], then \[z\] can take the value [UPSEAT 2004]
A.	\[\frac{1+i}{\sqrt{2}}\]
B.	\[\cos \frac{\pi }{8}+i\,\sin \frac{\pi }{8}\]
C.	\[\frac{1}{4i}\]
D.	i
Answer» C. \[\frac{1}{4i}\]

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If \[i{{z}^{4}}+1=0\], then \[z\] can take the value [UPSEAT 2004]

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