he number of frogs in a particular swamp in Ontario follows a yearly cycle. This cycle can be modeled as a sinusoidal function. The population ranges from 50 frogs at the beginning of March to 400 frogs, 6 months later, at the beginning of October. a) Sketch a graph showing the frog population, P, of frogs over time, t in months. (t=0 represents March, t=1 represents April etc.) b)Determine the equation of both a cosine and sine function for the above graph.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The number of frogs in a particular swamp in Ontario follows a yearly cycle. This
cycle can be modeled as a sinusoidal function. The population ranges from 50 frogs at the
beginning of March to 400 frogs, 6 months later, at the beginning of October.
a) Sketch a graph showing the frog population, P, of frogs over time, t in months. (t=0
represents March, t=1 represents April etc.)

b)Determine the equation of both a cosine and sine function for the above graph.

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