1. The problem is to simplify or understand the expression $y = \frac{\sin 2}{\cos \frac{1}{x}}$. 2. Recall the trigonometric functions sine and cosine: $\sin \theta$ and $\cos \theta$. 3. Here, $\sin 2$ means sine of 2 radians (a constant), and $\cos \frac{1}{x}$ means cosine of the reciprocal of $x$. 4. The expression cannot be simplified further algebraically without knowing $x$. 5. So, the function is $y = \frac{\sin 2}{\cos \frac{1}{x}}$. 6. This function is defined for all $x$ such that $\cos \frac{1}{x} \neq 0$ to avoid division by zero. 7. The function can be graphed or analyzed further if needed.