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Decide whether the following trigonometric identity is correct: cos A sin(B - C) + cos B sin(C - A) + cos C sin(A - B) = 0.

1. True
2. False
3. Cannot be determined
4. None of these

Correct answer: True

Solution

Expanding each sine difference and using product-to-sum, all six terms cancel pairwise, so the expression equals 0; the identity is true.

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