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How to write trigonometric function in high school math test paper?
Because for any a∈r, it is within (a, a+π), and f(x) and y=0 have only two intersections.

And because the function is a trigonometric function, and it is constant in the interval with the interval length π!

So π is a period of this function!

Because the function is f(x)=sin(wx). So w=2π/π=2.