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# View of /trunk/NationalProblemLibrary/Rochester/setTrig06Inverses/srw7_6_12-16c.pg

Revision 297 - (download) (annotate)
Wed Jun 28 22:52:53 2006 UTC (6 years, 10 months ago) by jj
File size: 1338 byte(s)
Fixed some tags.


    1 ## DESCRIPTION
2 ## Precalculus: Trigonometry
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('trigonometry','inverse trigonometric functions')
6 ## Tagged by cmd6a 5/11/06
7
8 ## DBsubject('Trigonometry')
9 ## DBchapter('Analytic Trigonometry')
10 ## DBsection('Inverse Trigonometric Functions')
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 );
29
30 TEXT(beginproblem());
31 $showPartialCorrectAnswers = 1; 32 33 @values =('0','\frac{\sqrt{3}}{3}','1','\sqrt{3}'); 34$tag1 = random(0,3,1);
35 $tag2 = random(0,3,1); 36 while ($tag2 == $tag1) {$tag2 = random(0,3,1);}
37
38 @sin_arctan_answers = ( 0, 1/2, sqrt(2)/2,sqrt(3)/2);
39 @cos_arctan_answers = ( 1, sqrt(3)/2, sqrt(2)/2, 1/2);
40
41 TEXT(EV2(<<EOT));
42 Evaluate the following expressions. $BR 43 $$\sin(\tan^{-1}(values[tag1]))$$ 44 \{ans_rule(20) \} 45 EOT 46$ans = $sin_arctan_answers[$tag1];
47 ANS(num_cmp($ans, mode=>"arith")); 48 TEXT(EV2(<<EOT)); 49$BR
50 $$\cos(\tan^{-1}(values[tag2]))$$ \{ans_rule(20) \}
51 EOT
52 $ans =$cos_arctan_answers[$tag2]; 53 ANS(num_cmp($ans, mode=>"arith"));
54
55 ENDDOCUMENT();        # This should be the last executable line in the problem.
56


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