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prove the following: cotA×cotB+cotB×cotC+cotC×cotA=1

prove the following:
cotA×cotB+cotB×cotC+cotC×cotA=1

Grade:10

1 Answers

Aditya Gupta
2081 Points
3 years ago
this is true only if a+b+c= pi
proof: tan(a+b+c)=tanpi=0
(tana+tanb+tanc – tanatanbtanc)/(1 – tanatanb – tanbtanc – tanctana) = 0
or tana+tanb+tanc= tanatanbtanc
or 1/tanbtanc + 1/tanatanc + 1/tanatanb= 1
or cotA×cotB+cotB×cotC+cotC×cotA=1
KINDLY APPROVE :))

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