in ∆ABC under what conditions tan²c/2tanb/2 + tan a/2tan²b/2+ tan²a/2tanb/2=tan²b/2tanc/2+ tan²c/2tana/2 + tan²a/2tanb/2
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if tanA/2,tanB/2,tanC/2 are in harmonic progression then find value of cotB/2
7 years ago
Answers : (3)
Dear student,
Use the concept:
tan (A + B + C) = 
= 
= 
So, since tan (A + B + C) = tan (1800) = 0
So, tanA + tanB + tanC - tanA + tanB + tanC = 0
=> tanA + tanB + tanC = tanA + tanB + tanC.
(vi) cotA + cotB + cotA + cotC + cotB cotC = 1
(vii) 
(viii) 
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Home
»
Forum
»
Algebra
»
trigo
if tanA/2,tanB/2,tanC/2 are in harmonic progression then find value of cotB/2
7 years ago
Answers : (3)
Dear student,
Use the concept:
tan (A + B + C) = 
= 
= 
So, since tan (A + B + C) = tan (1800) = 0
So, tanA + tanB + tanC - tanA + tanB + tanC = 0
=> tanA + tanB + tanC = tanA + tanB + tanC.
(vi) cotA + cotB + cotA + cotC + cotB cotC = 1
(vii) 
(viii) 
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