how to find the period of a function?

For a periodic function i.e., functions which repeat over a cycle in a specific period its fundamental period is defined as the length of a smallest continuous portion of the domain over which the function completes a cycle

**Example:**

For the function *y* = sin *x*

Its fundamental period is 2π

f(x)=sin x, we notice that f(x) starts repeating its values from 2n$\mathrm{\pi}$ to2(n+1)$\mathrm{\pi}$ So the fundamental period of the function will be 2(n+1)$\mathrm{\pi}$ -2n$\mathrm{\pi}$ = 2$\mathrm{\pi}$ .

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