Answer :

Let a, b, c be the sides of any triangle ABC. Then by applying the sine rule, we get



a = k sin A, b = k sin B, c = k sin C


So the LHS of the given equation, we get



Substituting values from sine rule, we get



As A + B + C = π


Hence,


Similarly,


And,



Now , so the above equation becomes,




Canceling the like terms we get



Hence proved


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