To find: The cosine function that represents the temperature according to the month of the year.
Given:
The temperatures ranging from
Explanation:
Suppose the cosine function is
The value of the amplitude is,
The value of the vertical shift is,
The value of the frequency is,
The horizontal shift must be
Substitute all the known values in the following function.
- The amplitude can be obtained by dividing the difference of temperatures with 2 and it can be observed in the above solution.
- The time duration given in the problems describes the length of the period.
Conclusion:
Hence, the cosine function is
Chapter 13 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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