The document discusses graphing the sine function, including defining the reference angle as the acute angle between the x-axis and the terminal side of a given angle. It provides examples of reference angles for 9830 and 900, and shows the relationship between the reference angle and the value of sine. Graphs are presented showing the sine function values over the range from 0 to 3600. Additional online resources on graphing sine and cosine are also listed.

1. Ch.14.3_GraphingFunctions.notebook March 05, 2012
Chapter 14.3
Graphing the Sine Function
Reference Angle
The acute angle between the x­axis
and the "terminal" side of the angle
90 90
180 180
0 or 360 0 or 360
270 270
What is the REFERENCE angle for
a 9830 angle?
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2. Ch.14.3_GraphingFunctions.notebook March 05, 2012
θ sin(θ)
00 1
y
300
600
θ
90 0
x
1200
1500
1800
2100
2400
2700
3000
3300
3600
1
.75
.5
.25
900 1800 2700 3600
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3. Ch.14.3_GraphingFunctions.notebook March 05, 2012
http://www.youtube.com/watch?v=Ohp6Okk_tww
http://www.math.utah.edu/~palais/cossin.html
3

4. Ch.14.3_GraphingFunctions.notebook March 05, 2012
Page 626
22 ­ 33 all
Give the ratio AND the reference angle
4