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Grade: 10

                        

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

2 months ago

Answers : (1)

Aditya Gupta
2068 Points
							
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 :))
2 months ago
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