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Problem
Problem
Find all numbers
x
,
y
x, y
x
,
y
that satisfy the equation
(
sin
2
x
+
1
sin
2
x
)
2
+
(
cos
2
x
+
1
cos
2
x
)
2
=
12
+
1
2
sin
y
.
\left( \sin^2 x + \frac{1}{\sin^2 x} \right)^2 + \left( \cos^2 x + \frac{1}{\cos^2 x} \right)^2 = 12 + \frac{1}{2} \sin y.
(
sin
2
x
+
sin
2
x
1
)
2
+
(
cos
2
x
+
cos
2
x
1
)
2
=
12
+
2
1
sin
y
.
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