математика

Sin(51)cos(21)−cos(51)sin(21)

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Ответ №1

Sin(51)cos(21)−cos(51)sin(21)=1/2(Sin(51 -21) + Sin(51+21)) − 1/2(Sin(51+21) - Sin(51+21))=1/2(Sin(30) + Sin(72)) − 1/2(Sin(72) - Sin(30))=1/2(Sin(30) + Sin(72) − Sin(72) + Sin(30))=1/2(Sin(30) + Sin(30))= 1/2(1/2 + 1/2)=1/2

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