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Problem
Problem
Find all number pairs
x
,
y
x, y
x
,
y
that satisfy the equation
tan
4
x
+
tan
4
y
+
2
cot
2
x
⋅
cot
2
y
=
3
+
sin
2
(
x
+
y
)
\tan^4 x + \tan^4 y + 2 \cot^2 x \cdot \cot^2 y = 3 + \sin^2(x+y)
tan
4
x
+
tan
4
y
+
2
cot
2
x
⋅
cot
2
y
=
3
+
sin
2
(
x
+
y
)
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