Graphing The Unit Circle And Trigonometric Curves - Texas Instruments TI-84 PLUS - Graphing Calculator Manual Book

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Graphing the Unit Circle and Trigonometric Curves

Problem
Using parametric graphing mode, graph the unit circle and the sine curve to show the relationship
between them.
Any function that can be plotted in
component as
and the
T
Procedure
1. Press z. Select
2. Press p. Set the viewing window.
Tmin=0
Tmax=2
p
Tstep=.1
3. Press o. Turn off all functions and stat plots. Enter the expressions to define the unit circle
centered on (0,0).
4. Enter the expressions to define the sine curve.
5. Press r. As the graph is plotting, you may press Í to pause and Í again to
resume graphing as you watch the sine function "unwrap" from the unit circle.
Note:
You can generalize the unwrapping. Replace
unwrap that function.
mode can be plotted in
Func
component as
Y
F(T)
,
, and the default settings.
Par
Simul
Xmin=
L
2
Ymin=
Xmax=7.4
Ymax=3
Yscl=1
Xscl=
2
Par
.
L
3
in
with any other trig function to
sin(T)
Y2T
mode by defining the
X
Chapter 17: Activities
315

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