Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. **There will be no changes to other Yahoo properties or services, or your Yahoo account.** You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Anonymous

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

### 1 Answer

Relevance

- 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

Still have questions? Get your answers by asking now.