The graph you've provided shows a periodic wave, and to determine its period, we need to find the distance between two consecutive peaks or troughs along the x-axis.

Upon examining the graph:

1. The peaks occur around $x = -3.14$, $x = -1.57$, $x = 0$, $x = 1.57$, and $x = 3.14$.
2. The distance between consecutive peaks is approximately $2\pi$ (about 6.28 units), as the wave repeats its pattern after this interval.

Thus, the period of this graph is approximately $2\pi$, or about 6.28 units.

Would you like more details on periodic functions, or do you have any other questions?

Here are five related questions:

1. How do you determine the amplitude of a periodic function?
2. What transformations affect the period of a trigonometric function?
3. How would adding a phase shift change the graph of this function?
4. What is the significance of frequency, and how does it relate to period?
5. How can we determine if a function is sinusoidal by looking at its graph?

Tip: In trigonometric functions, the period of $y = \sin(kx)$ or $y = \cos(kx)$ is $\frac{2\pi}{|k|}$, where $k$ is the coefficient of $x$.