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

• Trochoid
• Cycloid
• Clausen function

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) = e^ix