Solve the Problem $$M = 750 + 125 \sin \frac { \pi } { 6 } t$$

Solve the problem.
-Wildlife management personnel use predator-prey equations to model the populations of certain predators and
their prey in the wild. Suppose the population M of a predator after t months is given by $$M = 750 + 125 \sin \frac { \pi } { 6 } t$$ while the population N of its primary prey is given by $$\mathrm { N } = 12,250 + 3050 \cos \frac { \pi } { 6 } \mathrm { t }$$ Find the period for each of these functions.

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