1. The problem is to identify the sine and cosine graphs that correspond to a given function or context. 2. The sine function is defined as $y = \sin(x)$ and the cosine function as $y = \cos(x)$. 3. Both functions have a period of $2\pi$, meaning they repeat every $2\pi$ units. 4. The sine function starts at 0 when $x=0$, rises to 1 at $x=\frac{\pi}{2}$, goes back to 0 at $x=\pi$, drops to -1 at $x=\frac{3\pi}{2}$, and returns to 0 at $x=2\pi$. 5. The cosine function starts at 1 when $x=0$, drops to 0 at $x=\frac{\pi}{2}$, goes to -1 at $x=\pi$, back to 0 at $x=\frac{3\pi}{2}$, and returns to 1 at $x=2\pi$. 6. These graphs are smooth, continuous waves oscillating between -1 and 1. 7. To graph these, plot key points and connect them with smooth curves. Final answer: The sine graph is $y=\sin(x)$ and the cosine graph is $y=\cos(x)$, both with period $2\pi$ and amplitude 1.