Periodic function is a term used in mathematics to describe a function that repeats itself within a specific interval of time or distance. Synonyms for periodic function may vary depending on the specific context and mathematical discipline. In trigonometry, these functions are commonly referred to as sinusoidal functions, while in Fourier analysis, they are referred to as Fourier series. In signal processing, periodic functions are often referred to as cyclic functions. Moreover, in differential equations, they are known as periodic equations. Hence, the synonyms for periodic function may vary, but they all describe the same mathematical concept of a function that repeats itself after a certain interval.