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Question

Prove that: b2c2cosB+cosC+c2a2cosC+cosA+a2b2cosA+cosB=0.

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Solution

b2c2cosB+cosC=k2(sin2Bsin2C)cosB+cosC
=k2(cos2Bcos2C)cosB+cosC
L.H.S=k2(cosBcosC)=0.

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