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Lesson 4: GRAPHS OF TRIGONOMETRIC FUNCTIONS
Math 12 Plane and Spherical Trigonometry
OBJECTIVES
At the end of the lesson the students are expected to:•Develop the properties of trigonometric functions.•Find the amplitude, period, phase shift and vertical shift of a trigonometric function from its equation.•Graph trigonometric functions.
x siny
x siny
y
x
1
-1
y
x
xcosy
xcosy
1
-1
The Amplitude and Period of Sinusoidal Graphs
The Amplitude and Period of Sinusoidal Graphs
Examples
y
x
y
x
Examples
x
y
x secy
x cscy
x
y
Examples
References
• Algebra and Trigonometry by Cynthia Young• Trigonometry by Jerome Hayden and Bettye Hall
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