Form and use periodic sine and cosine models

The temperature in a classroom is recorded at equal time intervals

Readings at equal time intervals are 18, 20, 18, 16, 18, 20, 18, 16 °C. The readings repeat after one full cycle

Let y(t) be the temperature in a classroom, measured in °C, where t is measured in hours

The maximum is \(20\) °C and the minimum is \(16\) °C

The full period is \(24\) hours

The modelling domain is \(\left[0,72\right]\) hours