Form and use periodic sine and cosine models

A record is made of the air temperature at a weather station

Readings at equal time intervals are 26, 22, 18, 22, 26, 22, 18, 22 °C. The readings repeat after one full cycle

Let y(t) be the air temperature at a weather station, measured in °C, where t is measured in hours

The maximum is \(26\) °C and the minimum is \(18\) °C

The full period is \(24\) hours

The modelling domain is \(\left[0,24\right]\) hours