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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

What is the period of s(x)=sin of x over [0,2pi]?

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  • 1 month ago
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    Period T of a function is the minimum value of T ≠ 0 where you have 

    sin(x+T) = sinx for each x belongins to the domain.

    In our case

    sin(x+T) = sinx for x∈[0,2π] iff T=0

    so our function is not periodic.

    Note

    f(x):ℝ→ℝ defined as

    f(x) = sinx

    is periodic where T= 2π

    but s(x) is by no means periodic.

    See graph

    https://www.desmos.com/calculator/vsw3qdiudq

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