This document discusses using a sinusoidal equation to predict sunrise times for a town in Saskatchewan throughout the year based on the latest sunrise of 9:15am on December 21 and earliest sunrise of 3:15am on June 21. It provides questions to sketch the sinusoidal graph, write equations using sine and cosine, predict the sunrise time on April 6, calculate the average sunrise time, and determine dates when sunrise is at 7:00am.

1. The Saskatchewan
Sunrise Problem
End of a month Sunset August 31st by JBAT

2. Sketch the graph of y = |2 - x|

3. Biography
Sketch the graph of Maria Gaetana Agnesi
The Witch of Agnesi
May 16, 1718 -
January 9, 1799

4. Sketch the graph of y = |ƒ(x)|

5. Given sketch the graph of

6. Given ƒ(x) = 2sin(x) sketch the graph of

7. The Reciprocal Trigonometric Functions ...

9. Trigonometric Modeling
and Transformations
An Example
For 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 Morning at Swiftcurrent Lake
photo source: http://www.flickr.com/photos/58518845@N00/381683114
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?

10. Trigonometric Modeling and
Transformations
An Example
For 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?

11. a) Sketch the graph of the sinusoidal function described above.

12. b) Write 2 equations for the function; one using sine the other cosine.

13. 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?

14. d) What is the average sunrise time throughout the year?

15. e) On what days will the sunrise at 7:00am?

16. e) On what days will the sunrise at 7:00am?

18. The Reciprocal Trigonometric Functions ...

19. The Reciprocal Trigonometric Functions ...
HOMEWORK

20. Given sketch the graph of , that is
HOMEWORK

21. Given sketch the graph of
HOMEWORK