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几个余弦相乘怎么算?cosπ/9cos2π/9cos3π/9cos4π/9.相乘怎么算?我是高中生马上要高考,今天考...几个余弦相乘怎么算?cosπ/9cos2π/9cos3π/9cos4π/9.相乘怎么算?我是高中生马上要高考,今天考模拟考

题目详情
几个余弦相乘怎么算?cosπ/9 cos2π/ 9cos3π/9 cos4π/9.相乘怎么算?我是高中生马上要高考,今天考...
几个余弦相乘怎么算?cosπ/9 cos2π/ 9cos3π/9 cos4π/9.相乘怎么算?我是高中生马上要高考,今天考模拟考的一道题,
▼优质解答
答案和解析
cosπ/9 cos2π/ 9cos3π/9 cos4π/9.=(sinπ/9cosπ/9 cos2π/ 9cos3π/9 cos4π/9.)/sinπ/9=(1/2sin2π/9cos2π/ 9cos3π/9 cos4π/9)/sinπ/9=(1/8sin8π/9cos3π/9)/sinπ/9=1/8*cos3π/9=1/16