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Problem
Problem
The number of distinct solutions of the equation
5
4
cos
2
2
x
+
cos
4
x
+
sin
4
x
+
cos
6
x
+
sin
6
x
=
2
\frac{5}{4} \cos^2 2x + \cos^4 x + \sin^4 x + \cos^6 x + \sin^6 x = 2
4
5
cos
2
2
x
+
cos
4
x
+
sin
4
x
+
cos
6
x
+
sin
6
x
=
2
in the interval
[
0
,
2
π
]
[0, 2\pi]
[
0
,
2
π
]
is
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