Post on 30-Dec-2015
description
transcript
Click on the picture above to watch an animation linking the unit circle to the graphs of sine and cosine.
Write down questions and answers.
http://www.brightstorm.com/math/trigonometry/trigonometric-functions/graphs-of-the-sine-and-cosine-functions/
Click on this link and watch this video. Write down the definition for a periodic function
Sketch 3 different examples of period functions and indicate what their period is.
Watch this video
Use the chart and graph on the next slide to help you take notes. This is the same as what is to the right of the SMART Board.
π 2
π
3π 2
2π
1
-1
Modeling with sine and cosine
Weather patterns
Seasonal fluctuations in demands for surf equipment, swim wear, snow shovels, etc
Employment
Electrical Current
Summarize on your notes
Copy in your notes
Summarize on your notes
Copy in your notes
Here is an example of a real world problem with the solution. Try to follow.
Note: Most textbooks use
f(x)= a sin b(x-c) +d
a= amplitudeb= 2π/b period
c= horizontal shiftd= vertical shift
4.3 sin0.82(t-.37) +7.3a b c d
factor out 0.82 ∴ b=0.82
PUT IN NOTES
Final Interpretation:
I know the last example was challenging. The point was to show you how these functions are used in the real world.