8: Periodic Functions — Read — Invisible Network

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

8.0: Introduction 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.
8.1: 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
- 8.1E: Graphs of the Sine and Cosine Functions (Exercises)
8.2: Graphs of the Other Trigonometric Functions
This section addresses the graphing of the Tangent, Cosecant, Secant, and Cotangent curves.
- 8.2E: Graphs of the Other Trigonometric Functions (Exercises)
8.3: 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.
- 8.3E: Inverse Trigonometric Functions (Exercises)

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