cos(5*3.1415926..)/8 * cos (3.1415926../8)=多少

问题描述:

cos(5*3.1415926..)/8 * cos (3.1415926../8)=多少
3.1415926=派

cos(5π/8) × cos(π/8)
=[cos(π/2+π/8)]×cos (π/8)
=-sin(π/8)×cos (π/8)----公式:cosπ/2+a=-sina
=-1/2× 2sin(π/8)×cos (π/8)
-----后面的2sincos用2倍角公式合并
=-1/2× sin (π/4)
=-1/2 × √2/2
=-√2/4