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Precalc 4.5 Notes.notebook January 30, 2017
Sec 4.5
Graphs of the Sine and Cosine Functions
Domain: All Real numbers
(radians or degrees)
Range:
Domain: All Real numbers
(radians or degrees)
Range:
1
Precalc 4.5 Notes.notebook January 30, 2017
Characteristics of Trig Functions
all trig functions repeat themselves, the horizontal distance it takes for
.
period
the graph to repeat itself is called the
. It is defined as half
amplitude
the sine and cosine functions have an
the distance between the maximum and minimum values.
For the basic sine function
period =
amplitude =
For the basic cosine function
period =
amplitude =
2
Precalc 4.5 Notes.notebook January 30, 2017
The sine & cosine graphs can be changed to any size wave by
changing some things in the equation. Right now we are going to
concentrate on amplitude and period.
amplitude
= period
go to applet page
3
Precalc 4.5 Notes.notebook January 30, 2017
Example
Identify the amplitude and period from the equations
4
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