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Anonymous
What is the period of s(x)=sin of x over [0,2pi]?
1 Answer
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- cmcsafeLv 71 month agoFavorite Answer
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
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