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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
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.
Phoebe Winser posted Dec 15, 2017 2:07 PM
1. The temperature of for Atlanta, Georgia in °F can be modeled by the sinusoidal function shown
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!
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(125pt) + 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((3p/4)x) + 7. How long will it take for Molly and Jenny to reach the top?
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