Graphing The Unit Circle And Trigonometric Curves - Texas Instruments TI-83 Manual Book

Graphing the Unit Circle and Trigonometric Curves

Problem
Procedure
17-10 Applications
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
plotted in mode by defining the
Par
the component as F
Y
1. Press z. Select
2. Press p. Set the viewing window.
Tmin=0
Tmax=2p
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
any other trig function to unwrap that function.
Func
component as
X
.
(T)
, , and the default settings.
Par Simul
Xmin=L2
Xmax=7.4
Xscl=pà2
mode can be
and
T
Ymin=L3
Ymax=3
Yscl=1
sin(T) Y
in with
2T