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period

The smallest positive interval after which a function's pattern repeats exactly.

A function $f$ has period $p$ if $f(\theta+p)=f(\theta)$ for every $\theta$ , and $p$ is the smallest positive number for which that holds. Sine, cosine, secant, and cosecant have period $2\pi$ ; tangent and cotangent repeat twice as often, with period $\pi$ .

See also

amplitude phase shift

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