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Question

InΔABC,cotA2+cotB2+cotC2=

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Solution

In ABC
cotA2=s(sa)Δ
cotA2+cotB2+cotC2=s(sa)Δ+s(sb)Δ+s(sc)Δ=sΔ[sa+sb+sc]=sΔ[3s(a+b+c)]
=sΔ[3s2s]=s2Δ

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