Write down questions and answers.

1. 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.

2. http://www.brightstorm.com/math/trigonometry/trigonometric-functions/graphs-of-the-sine-and-cosine-functions/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.

3. 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.

4. 1 π 2 π 3π 2 2π -1

5. Modeling with sine and cosine Weather patterns Seasonal fluctuations in demands for surf equipment, swim wear, snow shovels, etc Employment Electrical Current

6. Summarize on your notes

7. Copy in your notes

8. Summarize on your notes

9. Copy in your notes

10. Here is an example of a real world problem with the solution. Try to follow.

11. factor out 0.82 ∴ b=0.82 4.3 sin0.82(t-.37) +7.3 Note: Most textbooks use f(x)= a sin b(x-c) +d a= amplitude b= 2π/b period c= horizontal shift d= vertical shift a c b d PUT IN NOTES

13. Final Interpretation:

14. I know the last example was challenging. The point was to show you how these functions are used in the real world.