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Mathematics
Mathematics
Problem
If
i
z
4
+
1
=
0
iz^4 + 1 = 0
i
z
4
+
1
=
0
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, then
z
z
z
can take the value a.
1
+
i
2
\frac{1+i}{\sqrt{2}}
2
1
+
i
b.
cos
(
π
8
)
+
i
sin
(
π
8
)
\cos\left(\frac{\pi}{8}\right) + i \sin\left(\frac{\pi}{8}\right)
cos
(
8
π
)
+
i
sin
(
8
π
)
c.
1
4
i
\frac{1}{4i}
4
i
1
d.
i
i
i
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