Download - Pre-Cal 40S Slides March 10, 2008
![Page 1: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/1.jpg)
End of a month Sunset August 31st by JBAT
The Saskatchewan Sunrise Problem
![Page 2: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/2.jpg)
Sketch the graph of y = |2 - x|
![Page 3: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/3.jpg)
Maria Gaetana Agnesi
May 16, 1718 - January 9, 1799
Biography
The Witch of AgnesiSketch the graph of
![Page 4: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/4.jpg)
Sketch the graph of y = |ƒ(x)|
![Page 5: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/5.jpg)
Given sketch the graph of
![Page 6: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/6.jpg)
Given ƒ(x) = 2sin(x) sketch the graph of
![Page 7: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/7.jpg)
The Reciprocal Trigonometric Functions ...
![Page 8: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/8.jpg)
![Page 9: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/9.jpg)
Trigonometric Modeling and Transformations
An ExampleFor a Saskatchewan town the latest sunrise is on Dec 21 at 9:15 am. The earliest sunrise is on June 21 at 3:15 am. Sunrise times on other dates can be predicted using a sinusoidal equation.Note: There is no daylight savings time in Saskatchewan.
a) Sketch the graph of the sinusoidal function described above.b) Write 2 equations for the function; one using sine the other cosine.c) Use one of the equations in (b) to predict the time of sunrise on April 6.d) What is the average sunrise time throughout the year?e) On what days will the sunrise at 7:00am?
Morning at Swiftcurrent Lakephoto source: http://www.flickr.com/photos/58518845@N00/381683114
![Page 10: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/10.jpg)
Trigonometric Modeling and Transformations
An ExampleFor a Saskatchewan town the latest sunrise is on Dec 21 at 9:15 am. The earliest sunrise is on June 21 at 3:15 am. Sunrise times on other dates can be predicted using a sinusoidal equation.Note: There is no daylight savings time in Saskatchewan.
a) Sketch the graph of the sinusoidal function described above.b) Write 2 equations for the function; one using sine the other cosine.c) Use one of the equations in (b) to predict the time of sunrise on April 6.d) What is the average sunrise time throughout the year?e) On what days will the sunrise at 7:00am?
![Page 11: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/11.jpg)
a) Sketch the graph of the sinusoidal function described above.
![Page 12: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/12.jpg)
b) Write 2 equations for the function; one using sine the other cosine.
![Page 13: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/13.jpg)
c) Use one of the equations in (b) to predict the time of sunrise on April 6.d) What is the average sunrise time throughout the year?e) On what days will the sunrise at 7:00am?
![Page 14: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/14.jpg)
d) What is the average sunrise time throughout the year?
![Page 15: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/15.jpg)
e) On what days will the sunrise at 7:00am?
![Page 16: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/16.jpg)
e) On what days will the sunrise at 7:00am?
![Page 17: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/17.jpg)
![Page 18: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/18.jpg)
The Reciprocal Trigonometric Functions ...
![Page 19: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/19.jpg)
The Reciprocal Trigonometric Functions ...
HOMEWORK
![Page 20: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/20.jpg)
Given sketch the graph of , that is
HOMEWORK
![Page 21: Pre-Cal 40S Slides March 10, 2008](https://reader033.vdocuments.us/reader033/viewer/2022042714/54c2cd414a7959a07c8b4620/html5/thumbnails/21.jpg)
Given sketch the graph of
HOMEWORK