In any triangle A B C , prove that follo...

In any triangle `A B C` , prove that following: `\ (cos^2B-cos^2C)/(b+c)+(cos^2C-cos^2A)/(c+a)+(cos^2A-cos^2B)/(a+b)=0`

A

` (cos^(2)B-cos^(2)A)/(a+b)`

B

` (cos^(2)A-cos^(2)B)/(a+b)`

C

` (cos^(2)B-cos^(2)A)/(b-a)`

D

` (cos^(2)A-cos^(2)B)/(a-b)`

Verified by Experts

The correct Answer is:

A

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