## DESCRIPTION
## Precalculus: Trigonometry
## ENDDESCRIPTION

## KEYWORDS('trigonometry','unit circle')
## Tagged by cmd6a 5/9/06

## DBsubject('Trigonometry')
## DBchapter('Trigonometric Functions of Real Numbers')
## DBsection('The Unit Circle')
## Date('')
## Author('')
## Institution('Rochester')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')

DOCUMENT(); # This should be the first executable line in the problem.

loadMacros(
"PG.pl",
"PGbasicmacros.pl",
"PGchoicemacros.pl",
"PGanswermacros.pl",
"PGauxiliaryFunctions.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 1;

$tag = random(0,5,1);
@choose1 = (3,5,8,7,6,10);
@choose2 = (4,12,15,24,8,24);
@choose3 = (5,13,17,25,10,26);
$a1 = $choose1[$tag];
$o1 = $choose2[$tag];
$h1 = $choose3[$tag];

TEXT(EV2(<<EOT));
If \( \cos(\theta) = \frac { $a1 } { $h1 } \), \( 0 \leq \theta \leq \pi/2 \), then
$BR
$BR
\( \sin ( \theta ) \) equals \{ans_rule(10) \}
$BR
EOT
$ans = $o1/$h1;
ANS(num_cmp($ans));
TEXT(EV2(<<EOT));
\( \tan ( \theta ) \) equals \{ans_rule(10) \}
$BR
EOT
$ans = $o1/$a1;
ANS(num_cmp($ans));
TEXT(EV2(<<EOT));
\( \sec ( \theta ) \) equals \{ans_rule(10) \}
$BR
EOT
$ans = $h1/$a1;
ANS(num_cmp($ans));

ENDDOCUMENT(); # This should be the last executable line in the problem.