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Mathematics
Mathematics
Problem
The principal value of
arg
(
z
)
\arg(z)
ar
g
(
z
)
, where
z
=
(
1
+
cos
8
π
5
)
+
i
sin
8
π
5
z = \left(1 + \cos \frac{8\pi}{5}\right) + i \sin \frac{8\pi}{5}
z
=
(
1
+
cos
5
8
π
)
+
i
sin
5
8
π
(where,
i
=
−
1
i = \sqrt{-1}
i
=
−
1
) is given by a.
−
π
5
-\frac{\pi}{5}
−
5
π
b.
−
4
π
5
-\frac{4\pi}{5}
−
5
4
π
c.
π
5
\frac{\pi}{5}
5
π
d.
4
π
5
\frac{4\pi}{5}
5
4
π
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