Which of the following is a characteristic of trigonometric graphs?

Trigonometric graphs are defined by their periodic nature, which means they repeat their values at regular intervals. This characteristic arises from the fundamental properties of trigonometric functions such as sine, cosine, and tangent. For example, the sine and cosine functions repeat their cycles every 360 degrees (or every (2\pi) radians), indicating that the values of these functions will reoccur indefinitely as you progress along the x-axis.

The periodic behavior of trigonometric graphs allows them to model phenomena that naturally repeat over time, such as sound waves, light waves, and seasonal changes. Understanding this feature is crucial for analyzing and predicting cyclical trends in a variety of physical and mathematical contexts.