cos(π/3+2a)=cos(2a-2π/3+π)
=-cos(2a-2π/3)
=-cos2(a-π/3)
=-(1-Sin(a-π/3)^2)
又Sin(a-π/3)=-sin(π/3-a)=-1/4
所以,cos(π/3+2a)=-15/16
sin(π/3-a)=cos[π/2-(π/3-a)]=cos(π/6+a)=1/4
cos(π/3+2a)=cos2(π/6+a)
=2cos²(π/6+a)-1
=2*1/16-1
=-7/8
8分之根号5
用诱导