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| 1 : | jj | 61 | ## DESCRIPTION |
| 2 : | jjholt | 317 | ## Precalculus: Trigonometry |
| 3 : | jj | 61 | ## ENDDESCRIPTION |
| 4 : | |||
| 5 : | jjholt | 317 | ## KEYWORDS('precalculus','trigonometric equation') |
| 6 : | ## Tagged by cmd6a 6/21/06 | ||
| 7 : | jj | 61 | |
| 8 : | jj | 318 | ## DBsubject('Trigonometry') |
| 9 : | jjholt | 317 | ## DBchapter('Analytic Trigonometry') |
| 10 : | jj | 61 | ## DBsection('Trigonometric Equations') |
| 11 : | jjholt | 317 | ## Date('') |
| 12 : | ## Author('') | ||
| 13 : | ## Institution('ASU') | ||
| 14 : | ## TitleText1('') | ||
| 15 : | ## EditionText1('') | ||
| 16 : | ## AuthorText1('') | ||
| 17 : | ## Section1('') | ||
| 18 : | ## Problem1('') | ||
| 19 : | jj | 61 | |
| 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 : | "extraAnswerEvaluators.pl" | ||
| 30 : | ); | ||
| 31 : | |||
| 32 : | # No partial credit on this problem, so we say: | ||
| 33 : | install_problem_grader(~~&std_problem_grader); | ||
| 34 : | |||
| 35 : | gage | 268 | TEXT(beginproblem()); |
| 36 : | jj | 61 | $showPartialCorrectAnswers = 0; |
| 37 : | $pi = 4*atan2(1,1); | ||
| 38 : | @values =('\frac{3}{4}','\frac{1}{4}','\frac{1}{2}'); | ||
| 39 : | $tag1 = random(0,2,1); | ||
| 40 : | |||
| 41 : | |||
| 42 : | @cos_answers1 = ("1/6", "1/3", "1/4"); | ||
| 43 : | @cos_answers2 = ("5/6", "2/3", "3/4"); | ||
| 44 : | @cos_answers3 = ("7/6", "4/3", "5/4"); | ||
| 45 : | @cos_answers4 = ("11/6", "5/3", "7/4"); | ||
| 46 : | |||
| 47 : | |||
| 48 : | |||
| 49 : | TEXT(EV2(<<EOT)); | ||
| 50 : | Solve the following equation in the interval [0, 2 \(\pi \)]. | ||
| 51 : | $BR | ||
| 52 : | $BBOLD Note: $EBOLD | ||
| 53 : | Give the answer as a multiple of \( \pi \). | ||
| 54 : | Do not use decimal numbers. The answer should be a fraction or an integer. | ||
| 55 : | Note that \( \pi\) is already included in the answer so you just have to | ||
| 56 : | enter the appropriate multiple. E.g. if the answer is \( \pi/2 \) you should | ||
| 57 : | enter 1/2. If there is more than one answer enter them separated by commas. | ||
| 58 : | $PAR | ||
| 59 : | |||
| 60 : | \( (\cos(t))^2=$values[$tag1] \) | ||
| 61 : | $PAR | ||
| 62 : | t = \{ans_rule(20) \} \( \pi \) | ||
| 63 : | |||
| 64 : | EOT | ||
| 65 : | $ans1 = $cos_answers1[$tag1]; | ||
| 66 : | $ans2 = $cos_answers2[$tag1]; | ||
| 67 : | $ans3 = $cos_answers3[$tag1]; | ||
| 68 : | $ans4 = $cos_answers4[$tag1]; | ||
| 69 : | ANS(no_decimal_list("$ans1,$ans2,$ans3,$ans4")); | ||
| 70 : | |||
| 71 : | |||
| 72 : | ENDDOCUMENT(); # This should be the last executable line |
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