sin(π/4 -α)=cos[π/2-(π/4 -α)]=cos(π/4 +α)sin2(π/4 +α)=2sin(π/4 +α)*sin(π/4 -α)=1/3=cos2αα∈(π/2,π),2α∈(π,2π)所以sin2α<0sin2α=-(2根号2)/3sin4α=-(4根号2)/9