sin(2x+φ)要成为偶函数,只有化为±cos(2x)
sin(2x+φ)=cos(π/2-2x-φ)=cos(2x+φ-π/2)
所以φ=kπ+π/2,k为任意整数.由0<φ<π得k=0,所以φ=π/2