In any triangle ABC, cotA/2, cotB/2, cotC/2 are in ap then prove that

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In any triangle ABC, cotA/2, cotB/2, cotC/2 are in ap then prove that cotA/2*cotC/2 = 3

In any triangle ABC, cotA/2, cotB/2, cotC/2 are in ap then prove that cotA/2*cotC/2 = 3

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