Thread: sine graph

10 The temperature T°C at a town in central Australia at time t hours after 8 am can be modelled by . T(t) = 15 sin [(pit)\12] + 20
a What is the minimum temperature in °C, and at what time of day does it occur?
i do not know how to work out the time of the day. why is the minimum temperature is 5 rather than -5?

Originally Posted by rachael

10 The temperature T°C at a town in central Australia at time t hours after 8 am can be modelled by . T(t) = 15 sin [(pit)\12] + 20
a What is the minimum temperature in °C, and at what time of day does it occur?
i do not know how to work out the time of the day. why is the minimum temperature is 5 rather than -5?

The minimum that,


gets, is when is minimum. As you know the sine is minimum at -1. Thus, is the minimum value.