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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

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

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by Anoopam Mishra

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