Question

The function f(t) = 33 sin (pi over 2t) − 20 models the temperature of a periodic chemical reaction where t represents time in hours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take?

Answer 1

Clue: Think about what the maximum and minimum value of a sine function are to get an idea as to how to calculate the max and min for f(t). Then think about how $\sin(\frac{ \pi}{2t} )$ changes as 't' tends to $\infty$