Number 6 A-B please show all work on a separate paper so I can fully understand

#6 In predator-prey relationships, the populations of the predator and prey are often cyclical. In a convservation area, rangers monitor the red fox population And have determined that the population can be modeled by the function P(t) = 40 cos( ) + 110 Where t is the number of months from the time monitoring began. Use the model to estimate the population of red foxes in the conservation area after A. 30 months B. If possible, when will the population reach 100 red foxes