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2: Periodic Functions

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    In this chapter, we will investigate graphs of sine, cosine, and other trigonometric functions.

    • 2.0: Prelude to Periodic Functions
      Each day, the sun rises in an easterly direction, approaches some maximum height relative to the celestial equator, and sets in a westerly direction. The pattern of the sun’s motion throughout the course of a year is a periodic function. Creating a visual representation of a periodic function in the form of a graph can help us analyze the properties of the function.
    • 2.1: Graphs of the Sine and Cosine Functions
      In the chapter on Trigonometric Functions, we examined trigonometric functions such as the sine function. In this section, we will interpret and create graphs of sine and cosine functions
    • 2.2: Graphs of the Other Trigonometric Functions
      This section addresses the graphing of the Tangent, Cosecant, Secant, and Cotangent curves.
    • 2.3: Inverse Trigonometric Functions
      In this section, we will explore the inverse trigonometric functions. Inverse trigonometric functions “undoes” what the original trigonometric function “does,” as is the case with any other function and its inverse. In other words, the domain of the inverse function is the range of the original function, and vice versa.
    • 2.E: Periodic Functions (Exercises)
      This page focuses on the properties and applications of trigonometric and inverse trigonometric functions, primarily sine, cosine, tangent, secant, cosecant, and cotangent. It explores their periodic nature, transformations, and graph characteristics, including amplitude, period, and asymptotes, with exercises for practical applications in modeling real-world scenarios.
    • 2.R: Periodic Functions (Review)
      This page focuses on the analysis and graphing of trigonometric functions like sine, cosine, and tangent, emphasizing their properties such as amplitude, period, and asymptotes. It includes example exercises for graphing and calculating values for these functions and their inverses, highlighting the importance of inverse trigonometric functions.

    This page titled 2: Periodic Functions was last modified on Tue, 03 Nov 2026 01:57:24 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.