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

Thu Jun 29 19:14:59 2006 UTC (6 years, 10 months ago) by jj
File size: 1435 byte(s)
Fixed tags.


    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
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.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.