# Translations of Sine and Cosine Functions

*label*Calculus

*timer*Asked: May 1st, 2015

**Question description**

In the wild, predators such as wolves need prey such as sheep to survive. The population of the wolves and the sheep are cyclic in nature. Suppose the population of wolves W is modeled by W=2000+1000sin(pi/6) and the population of the sheep S is modeled by S=10000+5000cos(pi(t)/6) where t is time in months. What are the maximum number and minimum number of wolves and sheep?