The temperature in degree celcius in a factory during the course of a working day from 6am to 10pm can be modelled by the function

H(t)=18+6sin(pit/8-5pi/4)for 6<t <22
_ _
where t is the time in hours in 24Hr clock.
what are the highest and lowest temperatures during the working day.

1 answer

highest is when sin=1, lowest when sin=-1

Thigh= 18+6
Tlow= 18-6