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NAME _____________________________________________________ CLASS __________ DATE __________
3.2
GRAPHICAL VERIFICATION OF FORMULAS AND IDENTITIES
Verify the half angle formula cos (
1. To verify the formula, you will graph Y1 = cos
and show that they are in fact th same graph.
2. 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.
3. To do this you will turn the calculator on and press Y= . Press CL to clear
Y1 of an old expression.
4. Now, enter the cos
(1 + cos x)
and the (
pressing CL
x
5. Cos (
) will be positive for a viewing window of 0 < x <
2
viewing window by pressing WINDOW
2ndF
6. Press GRAPH to view the graphs. Notice they appear as one graph.
7. To verify the formula for where cosine is negative, press Y=
the Y2 prompt and press (–) to insert a negative in front of the radical.
x
Cos (
) will be negative for a viewing window of
2
viewing window by pressing WINDOW
ENTER . Press GRAPH to view the graphs.
62
Blackline Masters/TRIGONOMETRY USING THE SHARP EL-9600
x
for Y1 by pressing cos
2
) for Y2 (limiting to where cosine is positive) by
2
2ndF
a/b
÷
2
ENTER
(–)
(1 + cos )
) = ± (
2
x
and Y2 = ± (
2
X/ /T/n
1
+
cos
X/ /T/n
0
ENTER
3
ENTER
3
ENTER
< x < 3 . Enter this
2ndF
ENTER
) :
2
(1 + cos x)
2
a/b
2
ENTER
2
ENTER .
. Enter this
2ndF
ENTER
1
ENTER .
to access
3
2ndF
)
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