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Mathematics
Mathematics
Problem
In any
Δ
A
B
C
\Delta ABC
Δ
A
B
C
, prove that
Σ
sin
A
sin
B
+
sin
C
−
sin
A
≥
3
\Sigma \frac{\sqrt{\sin A}}{\sqrt{\sin B} + \sqrt{\sin C} - \sqrt{\sin A}} \ge 3
Σ
sin
B
+
sin
C
−
sin
A
sin
A
≥
3
and the equality holds if and only if triangle is equilateral.
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