8. On a merry-go-round, each horse moves up and down. The height of the rider, h(t), in metres, at time t, in seconds, is given by the equation h(t) = 1.5 cos (6t) +2. a) What are the maximum and minimum heights of the rider? (2 marks)

b) How long does it take the rider to complete one full cycle? (2 marks)

c) What would be the height of the rider at 15 seconds? (2 marks)