Section 6.4

Graphs of the Sine and Cosine Functions

OBJECTIVE 1

Graph y = 5 sin x using transformations. Use the graph to determine the domain and the range of y = 5 sin x.

Graph using transformations.

Use the graph to determine the domain and the range of

1sin

2y x

1sin

2y x

OBJECTIVE 2

Graph y = – cos (2x) using transformations. Use the graph to determine the domain and the range of y = – cos (2x) .

OBJECTIVE 3

Amplitude

Determine the amplitude and period of y = – 4 cos (3x)

OBJECTIVE 4

Graph y = 4 sin (2x) using key points.

Graph using key points.5cos2

y x

Graph using key points.3cos 12

y x

OBJECTIVE 5

x

y

-5 5

-2

2