Here is the plot of the function \( \sin(x) \) over the interval from \( -2\pi \) to \( 2\pi \). 

Would you like more details on the sine function, or do you have any other questions?

Here are some related questions you might find interesting:
1. What is the derivative of \( \sin(x) \)?
2. How does the graph of \( \cos(x) \) compare to that of \( \sin(x) \)?
3. How do you calculate the amplitude and period of \( \sin(x) \)?
4. What happens to the sine wave when you add a phase shift?
5. How does the sine function relate to the unit circle?

**Tip:** The sine function is periodic with a period of \( 2\pi \), meaning the pattern repeats every \( 2\pi \) units along the x-axis.

Explore how to plot the sine function y = sin(x) over the interval from -2π to 2π. This problem introduces key trigonometric concepts such as periodic functions and the unit circle. Ideal for students in Grades 10-12.

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