已知函数f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)求函数f(x)在区间[0,π/2]上

f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4) f(x)=1/2cos 2x+√3/2sin 2x+2(sin x-cos x)(xin x+cos x) =1/2cos 2x+√3/2sin