偶函数则满足:f(-x)=f(x)周期函数则满足:f(x)=f(x+π)f(11π / 3)=f(2π/3 +3π)=f(2π/3)f(2π/3)=f(2π/3-π)=f(-π/3)因为是偶函数f(-π/3)=f(π/3)x属于【0,π/2】时,f(x)=sin2x代入则有f(x)=sin2x=根号(3)/2