1. The problem is to find the value of $\sin\left(\frac{\pi}{2}\right)$.\n\n2. The sine function, $\sin(\theta)$, gives the y-coordinate of a point on the unit circle at an angle $\theta$ radians from the positive x-axis.\n\n3. Important rule: $\sin\left(\frac{\pi}{2}\right)$ corresponds to the angle $90^\circ$, where the point on the unit circle is at the topmost position.\n\n4. At $\theta = \frac{\pi}{2}$, the coordinates on the unit circle are $(0,1)$. The sine value is the y-coordinate, which is 1.\n\n5. Therefore, $\sin\left(\frac{\pi}{2}\right) = 1$.