Answer each of the following questions in one word or one sentence or as per exact requirement of for question:

$I n a n y Δ A B C, find the value of \sum a (s i n B - s i n C)$

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Solution

$L e t a s i n B = b s i n A, b s i n C = c s i n A, a s i n C = c s i n A \sum a (s i n B - s i n C) = a (s i n B - s i n C) + b (s i n C - s i n A) + c (s i n A - s i n B) = a s i n B - a s i n C + b s i n C - b s i n A + c s i n A - c s i n B = b s i n A - = a s i n C + b s i n C - b s i n A + a s i n C - b s i n C = 0$

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