# In any triangle A

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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