The formula for calculating the minimum positive period of y=Asin(ωx+ψ) or y=Acos(ωx+ψ) is: T=2π/ω. The formula for calculating the minimum positive period of y=Atan(ωx+ψ) or y=cot(ωx+ψ) is: T=π/ω. For sine function y=sinx, as long as the independent variable x is at least increased to x+2π, the minimum positive period of sine function and cosine function can be found repeatedly. Y=Asin(ωx+φ), T=2π/ω (where ω must be >; 0)。

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This kind of problem is transformed into a function form of an angle by constant deformation of trigonometric function, and solved by a formula, in which the formula for finding the minimum positive period of sine and cosine function is T=2π/|ω|, and the positive cotangent function is T=π/|ω|.

The functions f(x)=Asin(ωx+φ) and f(x)=Acos(ωx+φ)(A≠0, ω > The minimum positive period of 0) is; The functions f(x)=Atan(ωx+φ) and f(x)=Acot(ωx+φ)(A≠0, ω > The minimum positive period of 0) is. Using this conclusion, we can directly get the shape of y = af (ω x+φ) (a ≠ 0, ω >; 0) The minimum positive period of a trigonometric function (where "f" stands for sine, cosine, tangent or cotangent function).