y=cos(x-π/2)+sin(π/3-x)
=sinx+根号下3x/2-sinx/2
=sinx/2+根号下3x/2
=sin(x+π/3)
sinx关于 x=kπ+π/2对称
所以 sin(x+π/3) 关于x+π/3=kπ+π/2 对称
x=kπ+π/6)
所以 y=cos(x-π/2)+sin(π/3-x)关于x=kπ+π/6)对称
y=cos(x-π/2)+sin(π/3-x)
=sinx+根号下3x/2-sinx/2
=sinx/2+根号下3x/2
=sin(x+π/3)
sinx关于 x=kπ+π/2对称
所以 sin(x+π/3) 关于x+π/3=kπ+π/2 对称
x=kπ+π/6)
所以 y=cos(x-π/2)+sin(π/3-x)关于x=kπ+π/6)对称