2. Important Idea
Period and amplitude are
important in describing the
nature of many real world
phenomenon such as light
waves, sound waves and
radio waves.
13. Try This
•What are your observations
about the movement of the
bridge?
•What do you think is the
connection between this
bridge and today’s lesson?
29. Definition
Amplitude is
where is
the distance
from the
middle to the
top and
a
a+
a−
is the distance from the
middle to the bottom.
a
a−
Geom Sketchpad
31. Try This
What is the
amplitude
of
( ) 6tanp t t=
Hint: this is a
trick question.
?
32. Important Idea
( ) sinf t a bt= ( ) cosg t a bt=
The constant a controls the
amplitude (vertical stretch).
The constant b controls the
horizontal stretch. Amplitude
is .
Period is .
a
2
b
π