cot(a-b).cot(b-c)+cot (b-c)cot(c-a)+cot(c-a)cot (a-b)

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Deepak Kumar Shringi · Answer

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Sumana Das · Answer

Cot(a-b) cot(b-c) +cot(b-c) cot(c-a) +cot(c-a) cot(a-b) =cot(b-c) /tan(b-c) +cot(c-a) /tan(b-c) +cot(b-c) cot(c-a) ={cot(b-c) +cot(c-a)} /tan(a-b) +cot(b-c) cot(c-a) ={cot(b-c) cot(c-a) - 1}*1/cot(b-c+c-a)*1/tan(a-b) + cot(b-c) cot(c-a) ={cot(b-c) cot(c-a) - 1}*tan(b-a)/tan(a-b) + cot(b-c) cot(c-a) = - {cot(b-c) cot(c-a)-1 } *tan(a-b) /tan (a-b) +cot(b-c) cot(c-a) = 1 ={cot(b-c) cot(c-a) - 1}*tan(b-a)/tan(a-b) +cot(b-c)

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cot(a-b).cot(b-c)+cot (b-c)cot(c-a)+cot(c-a)cot (a-b)

cot(a-b).cot(b-c)+cot (b-c)cot(c-a)+cot(c-a)cot (a-b)

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