List of periodic functions
This list is incomplete; you can help by expanding it.
This is a list of some well-known periodic functions.
- The constant function f (x) = c, where c is independent of x, is periodic with any period, but lacks a fundamental period.
Real-valued functions
Trigonometric functions
- Sine
- Cosine
- Tangent
- Cotangent
- Secant
- Cosecant
- Exsecant
- Excosecant
- Versine
- Vercosine
- Coversine
- Covercosine
- Haversine
- Havercosine
- Hacoversine
- Hacovercosine
Sinus-like functions
Non-smooth functions
- Triangle wave (non-continuous first derivative)
- Sawtooth wave (non-continuous)
- Square wave (non-continuous)
- Cycloid (non-continuous first derivative)
- Tangent (non-continuous)
- Cotangent
- Secant
- Cosecant
- Exsecant
- Excosecant
Vector-valued functions
- Epitrochoid
- Epicycloid (special case of the epitrochoid)
- Limaçon (special case of the epitrochoid)
- Hypotrochoid
- Hypocycloid (special case of the hypotrochoid)
- Spirograph (special case of the hypotrochoid)
Complex-valued functions
- cis(x) = cos(x) + isin(x) = eix
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