Unit 4 Unit Activity Trigonometric Functions 1 .doc -...

ALGEBRA 2
Unit Activity: Trigonometric Functions
for Unit 4 of Semester B (v7.0)
Unit 4 Unit Activity: Trigonometric Functions
Introduction
You have learned about the features of trigonometric functions as well as how they may be
used in modeling. In this activity, you will apply these trigonometric skills to two different
scenarios.
Please enter your responses in the relevant spaces below, then save and upload your
completed file to the dropbox within your course for scoring. (Remember to use Windows-
friendly file types, such as .doc or .pdf.)
Task 1: Modeling Precipitation
Suppose that the precipitation in Chicago can be modeled by a trigonometric function.
Represent time in months elapsed since the beginning of the year (in other words, in January
; February ). The average monthly precipitation for the year is inches, and February
is the driest month of the year with inches of precipitation.
A. Identify the independent and dependent variables, both with letter names ( and ) and
what they represent in this scenario.
Independent variable:
Dependent variable:
B. Find the amplitude and period of the function. Show your work.
Amplitude:
Period:
C. Write the trigonometric function that represents the expected precipitation for any given
month. Explain why you chose your function type, and show work for any values not
already given in part B above.
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