5.5_bzat4e - Section 5.5 Graphs of Sine and Cosine...

Section 5.5
Graphs of Sine and Cosine
Functions

The Graph of y=sin x

Continuation of the previous problem showing 3 cycles

Graphing Variations of y=sin x

Graphing y=2 Sin x

Graphing y=½ Sin x

Graphing y=-2 Sin x

Graphing y=3 Sin 2x

The Effect of Horizontally Shifting the Graph

Example
Determine the amplitude and period of the following
and graph:
1
sin 3x
4
y =

Example
Determine the amplitude and period of the following
and graph:
y=-2sin 2x

Example
Determine the amplitude and period of the following
and graph the function :
3sin x y π =
-4 -3 -2 -1 1 2 3 4 5
-4
-3
-2
-1
1
2
3
x

Example
Determine the amplitude and period of the following
and graph the function :
4 sin 2 x y π =
-4 -3 -2 -1 1 2 3 4 5
-4
-3
-2
-1
1
2
3
x

Example
( 29
Determine the amplitude, period and phase shift
of the following and graph the function :
2sin 4x+ y π =

Example
Determine the amplitude, period and phase shift
of the following and graph the function :
1
sin 2x -
2 2
y
π
 
=
 ÷
 