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

    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 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.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.