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Mathematics
Mathematics
Problem
The complex numbers
sin
x
+
i
cos
2
x
\sin x + i \cos 2x
sin
x
+
i
cos
2
x
and
cos
x
−
i
sin
2
x
\cos x - i \sin 2x
cos
x
−
i
sin
2
x
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, are conjugate to each other, for a.
x
=
n
π
,
n
∈
I
x = n\pi, n \in \mathbb{I}
x
=
nπ
,
n
∈
I
b.
x
=
0
x = 0
x
=
0
c.
x
=
(
n
+
1
2
)
π
,
n
∈
I
x = \left(n + \frac{1}{2}\right)\pi, n \in \mathbb{I}
x
=
(
n
+
2
1
)
π
,
n
∈
I
d. no value of
x
x
x
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