COS8分之5π*COS8分之π的值
问题描述:
COS8分之5π*COS8分之π的值
答
cos(5π/8)=cos(π/2+π/8)=-sin(π/8)
∵sin(π/4)=sin(π/8+π/8)=2sin(π/8)cos(π/8)=√2/2
∴cos(5π/8)*cos(π/8)=-sin(π/8)*cos(π/8)=-√2/4