The activity of the Sun (sunspots, solar flares, and coronal mass ejection) fluctuates in cycles of around 10–11 years. Sunspot activity can be modeled by the following function:

N(t) = 57.7 sin[0.602(t − 1.43)] + 58.8,

where t is the number of years since January 1, 1997, and

N(t)

is the number of sunspots observed at time t.

(a) What is the period of sunspot activity according to this model? (Round your answer to the nearest 0.1 year.)

(b) What is the maximum number of sunspots observed? What is the minimum number? (Round your answers to the nearest sunspot.)

(c) When, to the nearest year, was sunspot activity expected to reach the first high point beyond 2012?

Thanks for the help, much appreciated. I simply cannot figure this out, and I've almost exhausted all of my tries.