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A geometry problem by Anoopam Mishra

Geometry Level pending

Let \(a + b + c = 180\) and \(\cot a + \cot b + \cot c = \cot x\). Then
\(\csc^2 a + \csc^2 b + \csc^2 c\) is equal to

(sec x)^2 (sin x)^2 (cos x)^2 (cosec x)^2

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by Anoopam Mishra

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