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Problem
Problem
Number of integral solutions of the equation
log
sin
x
sin
2
x
+
log
cos
x
cos
2
x
=
2
\log_{\sin x} \sqrt{\sin^2 x} + \log_{\cos x} \sqrt{\cos^2 x} = 2
lo
g
s
i
n
x
sin
2
x
+
lo
g
c
o
s
x
cos
2
x
=
2
, where
x
∈
[
0
,
6
π
]
x \in [0, 6\pi]
x
∈
[
0
,
6
π
]
is
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