If i z^4+1=0, then prove that z can take...

If `i z^4+1=0,` then prove that `z` can take the value `cos""((pi)/(8))+isin""((pi)/(8))`

A

`(1+i)/(sqrt(2))`

B

`cos""((pi)/(8))+isin""((pi)/(8))`

C

`(1)/(4i)`

D

`i`

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