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Translation of trigonometric function images in senior high school mathematics. Find a solution
Y = sin(ωx+π/3)+2 After shifting the unit of 4π/3 to the right, the analytical formula is Y = sin[ω(x-4π/3)+π/3]+2.

= sin(ωx-4ωω/3+π/3)+2

It coincides with the original picture, so the difference is that the whole period is -4ωω/3 = 2kπ, k ∈ z 。

When the difference is an integer multiple of 2π, the two images coincide.