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| 1 : | jjholt | 206 | ## DESCRIPTION |
| 2 : | ## Precalculus: Trigonometric Identities | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | jj | 141 | |
| 5 : | jjholt | 206 | ## Tagged by cmd6a 5/11/06 |
| 6 : | |||
| 7 : | jj | 297 | ## DBsubject('Trigonometry') |
| 8 : | jjholt | 206 | ## DBchapter('Analytic Trigonometry') |
| 9 : | jj | 3115 | ## DBsection('Trigonometric Identities') |
| 10 : | ## Institution('ASU') | ||
| 11 : | ## KEYWORDS('trigonometry','half-angle','precalculus','identities') | ||
| 12 : | jjholt | 206 | |
| 13 : | jj | 141 | DOCUMENT(); # This should be the first executable line in the problem. |
| 14 : | |||
| 15 : | loadMacros( | ||
| 16 : | "PG.pl", | ||
| 17 : | "PGbasicmacros.pl", | ||
| 18 : | "PGchoicemacros.pl", | ||
| 19 : | "PGanswermacros.pl", | ||
| 20 : | "PGauxiliaryFunctions.pl", | ||
| 21 : | "PGgraphmacros.pl", | ||
| 22 : | "PGasu.pl" | ||
| 23 : | ); | ||
| 24 : | |||
| 25 : | TEXT(beginproblem()); | ||
| 26 : | |||
| 27 : | $showPartialCorrectAnswers = 1; | ||
| 28 : | |||
| 29 : | |||
| 30 : | $a=random(2,8,1); | ||
| 31 : | |||
| 32 : | |||
| 33 : | #evaluate answers | ||
| 34 : | |||
| 35 : | |||
| 36 : | $ans1=1/2; | ||
| 37 : | $ans2=1/2; | ||
| 38 : | $ans3=2*$a; | ||
| 39 : | |||
| 40 : | TEXT(EV2(<<EOT)); | ||
| 41 : | Use a half angle formula to fill in the blanks in the identity below: | ||
| 42 : | |||
| 43 : | $BR | ||
| 44 : | \( (\cos($a x))^2 \) = | ||
| 45 : | \{ans_rule(5) \}+\{ans_rule(5) \} \( \cos( \) \{ans_rule(5) \} \( x ) \) | ||
| 46 : | EOT | ||
| 47 : | |||
| 48 : | ANS(num_cmp($ans1)); | ||
| 49 : | ANS(num_cmp($ans2)); | ||
| 50 : | ANS(num_cmp($ans3)); | ||
| 51 : | |||
| 52 : | |||
| 53 : | ENDDOCUMENT(); # This should be the last executable line in the problem. | ||
| 54 : |
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