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# View of /trunk/NationalProblemLibrary/Rochester/setTrig07Identity/p6.pg

Wed Jun 28 22:52:53 2006 UTC (6 years, 11 months ago) by jj
File size: 1111 byte(s)
Fixed some tags.


    1 ## DESCRIPTION
2 ## Precalculus: Trigonometric Identities
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('trigonometry','half-angle')
6 ## Tagged by cmd6a 5/11/06
7
8 ## DBsubject('Trigonometry')
9 ## DBchapter('Analytic Trigonometry')
10 ## DBsection('Double- and Half-Angle/Product-Sum Formulas')
11 ## Date('')
12 ## Author('')
13 ## Institution('Rochester')
14 ## TitleText1('')
15 ## EditionText1('')
16 ## AuthorText1('')
17 ## Section1('')
18 ## Problem1('')
19
20 DOCUMENT();        # This should be the first executable line in the problem.
21
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGauxiliaryFunctions.pl",
28 "PGgraphmacros.pl",
29 "PGasu.pl"
30 );
31
32 TEXT(beginproblem());
33
34 $showPartialCorrectAnswers = 1; 35 36 37$a=random(2,8,1);
38
39
41
42
43 $ans1=1/2; 44$ans2=1/2;
45 $ans3=2*$a;
46
47 TEXT(EV2(<<EOT));
48 Use a half angle formula to fill in the blanks in the identity below:
49
50 $BR 51 $$(\cos(a x))^2$$ = 52 \{ans_rule(5) \}+\{ans_rule(5) \} $$\cos($$ \{ans_rule(5) \} $$x )$$ 53 EOT 54 55 ANS(num_cmp($ans1));
56 ANS(num_cmp($ans2)); 57 ANS(num_cmp($ans3));
58
59
60 ENDDOCUMENT();        # This should be the last executable line in the problem.
61