Modeling Daily Temperature Variation with Sinusoidal Function
The temperature in a city over a 24-hour period is modeled by the function \(T(t)=10\sin\left(\frac{\pi(t-6)}{12}\right)+20\), where \(t\) is the time in hours after midnight, and \(T(t)\) is the temperature in degrees Celsius (°C). Determine the times during the 24-hour day when the temperature is exactly 25°C.