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Problem
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, prove that
cosec
A
2
+
cosec
B
2
+
cosec
C
2
≥
6.
\operatorname{cosec} \frac{A}{2} + \operatorname{cosec} \frac{B}{2} + \operatorname{cosec} \frac{C}{2} \ge 6.
cosec
2
A
+
cosec
2
B
+
cosec
2
C
≥
6.
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