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Problem
Problem
Prove that the equation
2
sin
x
=
∣
x
∣
+
a
2 \sin x = |x| + a
2
sin
x
=
∣
x
∣
+
a
has no solution for
a
∈
(
3
3
−
π
3
,
∞
)
a \in \left( \frac{3\sqrt{3} - \pi}{3}, \infty \right)
a
∈
(
3
3
3
−
π
,
∞
)
.
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