If i z ^ 4 +1=0, then z can take the value [UPSEAT 2004] - Vidyadip

MCQ

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

A
$\frac{1+i}{\sqrt{2}}$
✓
$\cos \frac{\pi }{8}+i\,\sin \frac{\pi }{8}$
C
$\frac{1}{4i}$
D
i

✓

Answer

Correct option: B.

$\cos \frac{\pi }{8}+i\,\sin \frac{\pi }{8}$

B

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