Expert answer:trigonometric discussion
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Discussion: Real-world Applications of Trigonometric Functions
Search the Web, course textbooks, or other sources to find two other sinusoidal equations that
model real-world phenomena.
Write a description for each equation. For each example, address the following questions:
•
•
What natural phenomenon does the equation model?
What aspect of the natural phenomenon involves data that repeats after a given period of
time?
Then use the equation to write a problem. Pose the problem in your posting.
•
Provide the sources.
Reply to at least two other student posts. Solve the problem and explain the answer in the context of
the original problem.
STUDENT 1
Phoebe Winser posted Dec 15, 2017 2:07 PM
Hi everyone,
1. The temperature of for Atlanta, Georgia in °F can be modeled by the sinusoidal function shown
below:
f(t)=18.25sin(π6 t−2.09)+61.15
f(t)=18.25sin(π6t-2.09)+61.15
Where January is t=1. Using the function above, what is the average temperature for February?
2. The populations of rabbits in a certain area is modeled by a sinusoidal function:
T=represents the number of months in the equation. Using the function, what is the minimum and
maximum value of the animals?
Have a great day!
STUDENT 2
Real-World Applications of Trigonometric Functions
Caleb Klynstra posted Nov 16, 2017 10:54 AM
1. The blood pressure of an average person follows a sine wave corresponding to the heart’s beats.
Consider the average person’s heartbeat by blood pressure, at time t (measured in minutes), is f(t) =
15sin(125πt) + 100. If that person’s heart beat for five minutes, what was his average heartbeat?
2. Molly and Jenny were getting on a Ferris wheel. They obviously start at the bottom, but they
want to know how long it might take to reach the top. The equation for a revolution is equal to f(x)
= 5sin((3π/4)x) + 7. How long will it take for Molly and Jenny to reach the top?
Sources:
http://www.shsu.edu/kws006/Precalculus/4.3_Sine_Waves_files/Lecture%20Notes%204.3%20Sine
%20Waves.pdf and
http://jwilson.coe.uga.edu/EMT669/Student.Folders/Jeon.Kyungsoon/IU/trig/F.wheel.html
…
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