write the expansion ofsin (A+B+C)
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Let us recall the formula of sin (α + β) = sin α cos β + cos α sin β, sin (α - β) = sin α cos β - cos α sin β and cos (α - β) = cos α cos β + sin α sin β. Therefore, the expansion of sin (A - B + C) = sin A cos B cos C - cos A sin B cos C + cos A cos B sin C + sin A sin B sin C.
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