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# View of /trunk/NationalProblemLibrary/ASU-topics/setTrigIdentities/srw7_3_53.pg

Thu Jun 29 18:44:08 2006 UTC (6 years, 10 months ago) by jj
File size: 1185 byte(s)
Fixed tags.


    1 ##DESCRIPTION
2 ## Precalculus, Trigonometric Identities
3 ##ENDDESCRIPTION
4
5 ## KEYWORDS('precalculus','trigonometry','identities')
6 ## Tagged by skm9b
7
8 ## DBsubject('Trigonometry')
9 ## DBchapter('Analytic Trigonometry')
10 ## DBsection('Trigonometric Identities')
11 ## Date('')
12 ## Author('')
13 ## Institution('ASU')
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 );
29
30 TEXT(beginproblem());
31 $showPartialCorrectAnswers = 0; 32 33$a = random(2,9,1);
34
35 TEXT(EV2(<<EOT));
36 Use the formula for lowering the powers to simplify the expression:
37 $BR 38 (a) If $$\cos^2 a x - \sin^2 a x = \cos (f(x))$$, then 39$BR
40 $$f(x) =$$ \{ans_rule(10)\};
41 $BR 42 (b) If $$\cos^4 a x - \sin^4 a x = \cos (g(x))$$, then 43$BR
44 $$g(x) =$$ \{ans_rule(10)\}.
45 $BR 46$BBOLD
47 Hint: $EBOLD For part (b), use $$a^4-b^4=(a^2-b^2)(a^2+b^2)$$! 48 49$BR
50 EOT
51
52 $ans1= "2*$a*x";
53 $ans2= "2*$a*x";
54
55 ANS(fun_cmp($ans1)); 56 ANS(fun_cmp($ans2));
57
58 ENDDOCUMENT();        # This should be the last executable line in the problem.