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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)

Grade:11

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
your question is not full kidnly post full question
Sumana Das
11 Points
5 years ago
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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