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Mathematics
Mathematics
Problem
If in a
△
A
B
C
\triangle ABC
△
A
B
C
,
cot
A
2
+
cot
B
2
+
cot
C
2
=
λ
cot
A
2
cot
B
2
cot
C
2
\cot \frac{A}{2} + \cot \frac{B}{2} + \cot \frac{C}{2} = \lambda \cot \frac{A}{2} \cot \frac{B}{2} \cot \frac{C}{2}
cot
2
A
+
cot
2
B
+
cot
2
C
=
λ
cot
2
A
cot
2
B
cot
2
C
, then find the value of
λ
\lambda
λ
.
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