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# View of /trunk/NationalProblemLibrary/Rochester/setTrig07Identity/srw7_3_49.pg

Thu Aug 16 23:07:34 2007 UTC (5 years, 9 months ago) by jj
File size: 1098 byte(s)
Moved problems back into place in the Rochester library, and set up
redirect files from their former locations.

1 ##DESCRIPTION
2 ## Algebra: Analytic Trigonometry
3 ##ENDDESCRIPTION
4
5 ##KEYWORDS('algebra', 'analytic trigonometry', 'product-to-sum')
6
7 ## tcao , PAID on 11-24-2003
8
9 ## DBsubject('Trigonometry')
10 ## DBchapter('Analytic Trigonometry')
11 ## DBsection('Double- and Half-Angle/Product-Sum Formulas')
12 ## Date('6/3/2002')
13 ## Author('')
14 ## Institution('')
15 ## TitleText1('Precalculus')
16 ## EditionText1('3')
17 ## AuthorText1('Stewart, Redlin, Watson')
18 ## Section1('7.3')
19 ## Problem1('43')
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(2,5,1);
34
35 TEXT(EV2(<<EOT));
36 Use the product-to-sum formula to find the exact value:
37 $BR 38 If $$\cos 37.5^\circ \sin 7.5^\circ = \frac{\sqrt{A}-B}{4}$$, then 39$BR
40 $$A =$$ \{ans_rule(10)\},
41 $BR 42 $$B =$$ \{ans_rule(10)\}. 43$BR
44 EOT
45
46 $ans1=2; 47$ans2=1;
48
49 ANS(num_cmp($ans1)); 50 ANS(num_cmp($ans2));
51
52 ENDDOCUMENT();        # This should be the last executable line in the problem.