View of /trunk/NationalProblemLibrary/Rochester/setTrig04FunctionsAnyAngle/p8.pg

    1 ## DESCRIPTION
    2 ## Precalculus: Trigonometry
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('trigonometry','unit circle')
    6 ## Tagged by cmd6a 5/9/06
    7 
    8 ## DBsubject('Trigonometry')
    9 ## DBchapter('Trigonometric Functions of Real Numbers')
   10 ## DBsection('The Unit Circle')
   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 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGauxiliaryFunctions.pl",
   28 "PGasu.pl"
   29 );
   30 
   31 TEXT(beginproblem());
   32 $showPartialCorrectAnswers = 1;
   33 
   34 $tag = random(0,5,1);
   35 @choose1 = (3,5,8,7,6,10);
   36 @choose2 = (4,12,15,24,8,24);
   37 @choose3 = (5,13,17,25,10,26);
   38 $a1 = $choose1[$tag];
   39 $o1 = $choose2[$tag];
   40 $h1 = $choose3[$tag];
   41 
   42 TEXT(EV2(<<EOT));
   43 Evaluate the following. Your answer should be given as a fraction, NO DECIMALS.
   44 $PAR
   45 If \( \sec (\theta) = \frac { $h1  } { $a1 } \),  \( 0 \leq \theta \leq \pi/2 \),
   46 then
   47 $BR
   48 $BR
   49 \( \sin ( \theta ) \) equals \{ans_rule(10) \}
   50 $BR
   51 EOT
   52 $ans = $o1/$h1;
   53 ANS(exact_no_trig($ans));
   54 TEXT(EV2(<<EOT));
   55 \( \cos ( \theta ) \) equals \{ans_rule(10) \}
   56 $BR
   57 EOT
   58 $ans = $a1/$h1;
   59 ANS(exact_no_trig($ans));
   60 TEXT(EV2(<<EOT));
   61 \( \tan ( \theta ) \) equals \{ans_rule(10) \}
   62 $BR
   63 EOT
   64 $ans = $o1/$a1;
   65 ANS(exact_no_trig($ans));
   66 
   67 ENDDOCUMENT();        # This should be the last executable line in the problem.