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What are the symmetry centers of images and the properties of trigonometric functions in high school mathematics?
Y = y = symmetry center of sinx: (kπ, 0)(k∈z)

Y = y = symmetry center of cosx: (kπ+π/2,0) (k ∈ z)

According to the image of sine (cosine) function, it can be seen that 9, y=cosx is an even function, and only the symmetry center of x=k*pi, 2, y=sinx is (kπ, 0)(k∈Z).

The symmetry center of y=cosx is (π/2+kπ, 0)(k∈Z), 1, which is the symmetry center of images and properties of trigonometric functions in high school.

The symmetry center of y=sinx is x=kπ, and y=0.

What about the symmetry center of y=cosx?