Final answer:
To find the exact value of s in the given interval [π/2, π] if sin s = 1/2, the value of s is π - π/6.
Step-by-step explanation:
To find the exact value of s in the given interval [π/2, π] if sin s = 1/2, we can use the unit circle to determine the values where sin is 1/2. In the unit circle, sin is positive in Quadrants I and II. Since we want the value of s in the interval [π/2, π], we need to look for the angle in Quadrant II where sin is 1/2. The angle in Quadrant II that satisfies this condition is π - π/6.
Therefore, the exact value of s in the given interval is π - π/6.