Here are the graphs of $y = \sin(x)$ and $y = \cos(x)$ over one period $[0, 2\pi]$. The sine wave (in blue) starts at zero and oscillates between -1 and 1, while the cosine wave (in orange) begins at 1 and follows a similar oscillation.

Do you have any questions or would you like more details?

Here are five related questions for further exploration:

1. What are the key differences between the sine and cosine functions?
2. How do phase shifts affect the graphs of sine and cosine functions?
3. How do the graphs of $y = \sin(2x)$ and $y = \cos(2x)$ differ from these?
4. Can you describe how the amplitude of these graphs would change with a vertical stretch?
5. How do these functions relate to real-world periodic phenomena?

Tip: The sine and cosine functions are often used to model wave-like patterns in physics, engineering, and other fields.