Difference between revisions of "Periodic function"
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| − | We say that a single-variable [[function]] <math>f</math> is '''periodic''' with period <math>p</math> if for all <math>x</math>, <math>f(x + p) = f(x)</math>. | + | We say that a single-variable [[function]] <math>f</math> is '''periodic''' with period <math>p</math> if for all <math>x</math>, <math>f(x + p) = f(x)</math>. The most common examples of periodic functions are the [[trigonometric function]]s, such as [[sine]] and [[cosine]] (and their [[reciprocal function]]s [[cosecant]] and [[secant (trigonometry)|secant]], respectively), which are periodic with period <math>2\pi</math>. |
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Revision as of 13:55, 3 March 2007
We say that a single-variable function 
is periodic with period 
if for all 
, 
. The most common examples of periodic functions are the trigonometric functions, such as sine and cosine (and their reciprocal functions cosecant and secant, respectively), which are periodic with period 
.
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