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| 1 : | jj | 141 | ##DESCRIPTION |
| 2 : | ##KEYWORDS('trigonometry', 'inverse functions') | ||
| 3 : | ## | ||
| 4 : | ##ENDDESCRIPTION | ||
| 5 : | |||
| 6 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 7 : | |||
| 8 : | loadMacros( | ||
| 9 : | "PG.pl", | ||
| 10 : | "PGbasicmacros.pl", | ||
| 11 : | "PGchoicemacros.pl", | ||
| 12 : | "PGanswermacros.pl", | ||
| 13 : | "PGauxiliaryFunctions.pl", | ||
| 14 : | "PGasu.pl", | ||
| 15 : | "extraAnswerEvaluators.pl" | ||
| 16 : | ); | ||
| 17 : | |||
| 18 : | TEXT(beginproblem()); | ||
| 19 : | $showPartialCorrectAnswers = 1; | ||
| 20 : | |||
| 21 : | @values =('\frac{1}{36}','\frac{1}{9}','\frac{1}{16}','\frac{1}{25}'); | ||
| 22 : | |||
| 23 : | $tag1 = random(0,3,1); | ||
| 24 : | $pi = 3.1415927; | ||
| 25 : | @ans1 = (arccos(1/6), arccos(1/3), arccos(1/4), arccos(1/5)); | ||
| 26 : | @ans2= (arccos(-1/6),arccos(-1/3),arccos(-1/4),arccos(-1/5)); | ||
| 27 : | @ans3=(2*$pi-arccos(-1/6),2*$pi-arccos(-1/3),2*$pi-arccos(-1/4),2*$pi-arccos(-1/5)); | ||
| 28 : | @ans4=(2*$pi-arccos(1/6),2*$pi-arccos(1/3),2*$pi-arccos(1/4),2*$pi-arccos(1/5)); | ||
| 29 : | |||
| 30 : | TEXT(EV2(<<EOT)); | ||
| 31 : | Solve the equation in the interval [0,2 \( \pi \)]. | ||
| 32 : | If there is more than one solution write them separated by commas. | ||
| 33 : | |||
| 34 : | $PAR | ||
| 35 : | \( (\cos(x))^2=$values[$tag1] \) | ||
| 36 : | $PAR | ||
| 37 : | \( x= \) \{ans_rule(20) \} | ||
| 38 : | |||
| 39 : | EOT | ||
| 40 : | ANS(number_list_cmp("$ans1[$tag1],$ans2[$tag1],$ans3[$tag1],$ans4[$tag1]")); | ||
| 41 : | |||
| 42 : | |||
| 43 : | ENDDOCUMENT(); # This should be the last executable line in the problem. | ||
| 44 : |
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