find sum into product form sin c + sin d
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Product formula
sin C + sin D = 2 sin[(C + D) / 2]cos[(C - D) / 2]
sin C - sin D = 2 cos[(C + D) / 2]sin[(C - D) / 2]
cos C + cos D = 2 cos [(C + D) / 2]cos[(C - D) / 2]
cos C - cos D = - 2 sin [(C + D) / 2]sin[(C - D) / 2]
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