Form and use periodic sine and cosine models

A record is made of the temperature in a classroom

Readings at equal time intervals are 24, 25, 26, 27, 28 °C. The values continue to increase across the observation window

The observations alone do not establish a periodic model. The extrema, period and phase anchor below are supplied for the separate calculation

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

The maximum is \(26\) °C and the minimum is \(22\) °C

The full period is \(24\) hours

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