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