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| 1 : | jj | 61 | ## DESCRIPTION |
| 2 : | jjholt | 317 | ## Precalculus: Trigonometry |
| 3 : | jj | 61 | ## ENDDESCRIPTION |
| 4 : | |||
| 5 : | jjholt | 317 | ## KEYWORDS('trigonometry','inverse trigonometric function') |
| 6 : | ## Tagged by cmd6a 6/22/06 | ||
| 7 : | jj | 61 | |
| 8 : | jjholt | 317 | ## DBsubject('Precalculus') |
| 9 : | ## DBchapter('Analytic Trigonometry') | ||
| 10 : | jj | 61 | ## DBsection('Inverse Trigonometric Functions') |
| 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 : | ); | ||
| 30 : | |||
| 31 : | gage | 268 | TEXT(beginproblem()); |
| 32 : | jj | 61 | $showPartialCorrectAnswers = 1; |
| 33 : | |||
| 34 : | TEXT(EV2(<<EOT)); | ||
| 35 : | Find the exact value (NO DECIMALS) of each expression by sketching a triangle. | ||
| 36 : | If the answer involves a square root enter it as $BITALIC sqrt $EITALIC. | ||
| 37 : | E.g. the square root | ||
| 38 : | of 2 should be entered as sqrt(2). | ||
| 39 : | |||
| 40 : | $BR | ||
| 41 : | (a) \( \cos(\tan^{-1} 2) = \) \{ans_rule(10)\}. | ||
| 42 : | $BR | ||
| 43 : | (b) \( \tan(\cos^{-1} \frac{1}{\sqrt{5}}) = \) \{ans_rule(10)\}. | ||
| 44 : | $BR | ||
| 45 : | EOT | ||
| 46 : | |||
| 47 : | $ans1= "1/sqrt(5)"; | ||
| 48 : | $ans2= 2; | ||
| 49 : | |||
| 50 : | gage | 268 | ANS(exact_no_trig($ans1)); |
| 51 : | ANS(exact_no_trig($ans2)); | ||
| 52 : | jj | 61 | |
| 53 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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