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

    1 ## DESCRIPTION
    2 ## Precalculus: Trigonometric Identities
    3 ## ENDDESCRIPTION
    4 
    5 ## Tagged by cmd6a 5/11/06
    6 
    7 ## DBsubject('Trigonometry')
    8 ## DBchapter('Analytic Trigonometry')
    9 ## DBsection('Trigonometric Identities')
   10 ## Institution('ASU')
   11 ## KEYWORDS('trigonometry','half-angle','precalculus','identities')
   12 
   13 DOCUMENT();        # This should be the first executable line in the problem.
   14 
   15 loadMacros(
   16 "PG.pl",
   17 "PGbasicmacros.pl",
   18 "PGchoicemacros.pl",
   19 "PGanswermacros.pl",
   20 "PGauxiliaryFunctions.pl",
   21 "PGgraphmacros.pl",
   22 "PGasu.pl"
   23 );
   24 
   25 TEXT(beginproblem());
   26 
   27 $showPartialCorrectAnswers = 1;
   28 
   29 
   30 $a=random(2,8,1);
   31 
   32 
   33 #evaluate answers
   34 
   35 
   36 $ans1=1/2;
   37 $ans2=1/2;
   38 $ans3=2*$a;
   39 
   40 TEXT(EV2(<<EOT));
   41 Use a half angle formula to fill in the blanks in the identity below:
   42 
   43 $BR
   44 \( (\cos($a x))^2 \) =
   45 \{ans_rule(5) \}+\{ans_rule(5) \} \( \cos( \) \{ans_rule(5) \} \( x ) \)
   46 EOT
   47 
   48 ANS(num_cmp($ans1));
   49 ANS(num_cmp($ans2));
   50 ANS(num_cmp($ans3));
   51 
   52 
   53 ENDDOCUMENT();        # This should be the last executable line in the problem.
   54