1. **State the problem:** Determine if the expression $\frac{2\cos x}{1} \times \frac{1}{\cos x}$ equals 2. 2. **Write the expression:** $$\frac{2\cos x}{1} \times \frac{1}{\cos x}$$ 3. **Multiply the fractions:** $$\frac{2\cos x}{1} \times \frac{1}{\cos x} = \frac{2\cos x \times 1}{1 \times \cos x} = \frac{2\cos x}{\cos x}$$ 4. **Simplify by canceling $\cos x$:** $$\frac{2\cancel{\cos x}}{\cancel{\cos x}} = 2$$ 5. **Conclusion:** The expression simplifies to 2, so yes, it equals 2. This works as long as $\cos x \neq 0$ to avoid division by zero.