式子Cos(-2π/3)+2Sin(8π/3)+Sin(4π/3)的值为

问题描述:

式子Cos(-2π/3)+2Sin(8π/3)+Sin(4π/3)的值为

Cos(-2π/3)=-cos(π/3)=-0.5
Sin(8π/3)=sin(π/3)=根号3/2
Sin(4π/3)=-sin(π/3)=-根号3/2
所以原式=(根号3-1)/2