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Using Blackline Master 3.2
The following problem appears on Blackline Master 3.2. Verify the half angle
formula cos
2
" as Y1 = cos
2
are in fact the same graph. In this problem, you will need to limit your domain
or x values to intervals where cosine is either negative or positive and enter the
appropriate radical for Y2.
To do this, you will turn the calculator on and press Y= . Press CL
to clear Y1 of an old expression.
Now enter the cos
1 + cos x
the
2
2ndF
a/b
positive for a viewing window of 0 < x <
pressing WINDOW
(–)
3
ENTER
Notice they appear as one graph.
To verify the formula for where cosine is negative, press Y=
Y2 prompt and press (–) to insert a negative in front of the radical. Cos
be negative for a viewing window of
pressing WINDOW
Press GRAPH to view the graphs. Notice they appear as one graph.
12
Graphical Verification of Formulas and Identities/TRIGONOMETRY USING THE SHARP EL-9600
= ± (1 + cos
). To verify the formula, you will graph the "cos
2
x
1 + cos
and the "±
2
2
x
for Y1 by pressing cos
2
for Y2 (limiting to where cosine is positive) by pressing CL
1
+
cos
X/ /T/n
0
ENTER
2ndF
3
ENTER
1
2ndF
ENTER
1 + cos
" as Y2 = ±
2
X/ /T/n
2
ENTER . Cos
. Enter this viewing window by
ENTER
2ndF
ENTER . Press GRAPH to view the graphs.
< x < 3 . Enter this viewing window by
3
2ndF
and show that they
a/b
2
ENTER and
x
will be
2
÷
2
ENTER
to access the
x
will
2
ENTER .
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