cos1/9π*cos2/9π*cos3/9π*cos4/9π=?怎么算?答案是1/16,
问题描述:
cos1/9π*cos2/9π*cos3/9π*cos4/9π=?怎么算?答案是1/16,
答
上下乘16sinπ/9sin2π/9sin3π/9sin4π/9原式=(2sinπ/9cosπ/9)(2sin2π/9cos2π/9)(2sin3π/9cos3π/9)(2sin4π/9cos4π/9)/(1616sinπ/9sin2π/9sin3π/9sin4π/9)=sin2π/9sin4π/9sin6π/9sin8π/9/(1616sinπ...