pre-cal 40s slides march 10, 2008
DESCRIPTION
Review of reciprocal and absolute value function graphs. Applications of transformations of trigonometric functions.TRANSCRIPT
End of a month Sunset August 31st by JBAT
The Saskatchewan Sunrise Problem
Sketch the graph of y = |2 - x|
Maria Gaetana Agnesi
May 16, 1718 - January 9, 1799
Biography
The Witch of AgnesiSketch the graph of
Sketch the graph of y = |ƒ(x)|
Given sketch the graph of
Given ƒ(x) = 2sin(x) sketch the graph of
The Reciprocal Trigonometric Functions ...
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
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?
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?
d) What is the average sunrise time throughout the year?
e) On what days will the sunrise at 7:00am?
e) On what days will the sunrise at 7:00am?
The Reciprocal Trigonometric Functions ...
The Reciprocal Trigonometric Functions ...
HOMEWORK
Given sketch the graph of , that is
HOMEWORK
Given sketch the graph of
HOMEWORK