Graphing Sine and Cosine

Question

The temperature of a particular patient in a hospital is modelled by the following function where t is the time in hours:

T(t)=4sin(πt/7)+98

How long will it take for the patient’s temperature to reach its first maximum?

Answer 1

This will happen when sin(θ) = 1 or when θ=π/2.

πt/7=π/2

t= 7/2 = 3.5 hours