The graph shows a periodic function, and the task is to find its period.

To determine the period of the function, we need to calculate the horizontal distance it takes for the function to repeat its pattern. From the graph, it appears that the function starts at one point, rises to a peak, falls to a trough, and then returns to the starting point.

By observing the x-values where the graph repeats (one full cycle), we can determine the period. It looks like the function repeats every 2π units. Thus, the period of the function is 2π.

Would you like further details on how to calculate this, or do you have any other questions?

Here are five related questions you might find interesting:

1. How do you calculate the period of other trigonometric functions?
2. What is the relationship between amplitude and period in sinusoidal functions?
3. How can you shift the graph of a sine function horizontally or vertically?
4. What is the difference between the period of sine and cosine functions?
5. How do transformations affect the graph of a sinusoidal function?

Tip: Always check the x-values at which the graph starts to repeat to identify the period of a function.