Frequency, Wavelength and Period - University of Minnesota

Frequency, Wavelength and Period

University of Minnesota

Frequency, Wavelength and Period

Preliminaries and Objectives

Preliminaries ? Graph y = sin x and y = cos x ? Amplitude ? Transformations of graphs (stretching vertically and horizontally).

Objectives ? Given an equation, find the period (wavelength) and frequency. ? Given a graph, find the period (wavelength) and frequency. ? Graph waves of the form y = ?A sin(Bx) and y = ?A sin(Bx).

University of Minnesota

Frequency, Wavelength and Period

Amplitude = 5

5

4

3

2

1

0

-1

2

3 2

2

-2

-3

-4

-5

y = 5 sin x y = sin x

University of Minnesota

Frequency, Wavelength and Period

B changes the width of the graph

y = sin(Bx)

University of Minnesota

Frequency, Wavelength and Period

Wavelength and Period

y = sin x y

1

x

2

3 2 5

2

2

-1

University of Minnesota

Frequency, Wavelength and Period

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