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Prove that cos(B-C)+Cos(C-A)+cos(A-B)=3\2 if cosA+cosB+cosC=0 and sinA+sinB+sinC=0

Prove that cos(B-C)+Cos(C-A)+cos(A-B)=3\2 if cosA+cosB+cosC=0 and sinA+sinB+sinC=0

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
square both the given equations and add them
 
you will clearly get the desired result.
 
Hope it helps
 
 
Regards
Arun (askIITians forum expert)

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