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Problem
Problem
Find the number of solutions of
sin
2
x
cos
2
x
=
1
+
cos
2
x
sin
4
x
\sin^2 x \cos^2 x = 1 + \cos^2 x \sin^4 x
sin
2
x
cos
2
x
=
1
+
cos
2
x
sin
4
x
in the interval
[
0
,
π
]
[0, \pi]
[
0
,
π
]
.
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