Difference between revisions of "TrigIdentities1"
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(Created page with '<h2>Trig Identities 1: Cleverly Redefining Functions</h2> <p style="background-color:#eeeeee;border:black solid 1px;padding:3px;"> This PG code shows how to redefine a named fu…') |
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− | <h2>Trig Identities |
+ | <h2>Requiring Trig Identities to be Used by Cleverly Redefining Functions</h2> |
+ | [[File:TrigIdentities1.png|300px|thumb|right|Click to enlarge]] |
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<p style="background-color:#eeeeee;border:black solid 1px;padding:3px;"> |
<p style="background-color:#eeeeee;border:black solid 1px;padding:3px;"> |
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This PG code shows how to redefine a named function internally so that students must apply a trig identity and simplify their answer. |
This PG code shows how to redefine a named function internally so that students must apply a trig identity and simplify their answer. |
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− | <ul> |
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− | <li>Download file: [[File:TrigIdentities1.txt]] (change the file extension from txt to pg when you save it)</li> |
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− | <li>File location in NPL: <code>NationalProblemLibrary/FortLewis/Authoring/Templates/Trig/TrigIdentities.pg</code></li> |
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− | </ul> |
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</p> |
</p> |
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+ | * Download file: [[File:TrigIdentities1.txt]] (change the file extension from txt to pg when you save it) |
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+ | * File location in NPL: <code>FortLewis/Authoring/Templates/Trig/TrigIdentities.pg</code> |
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+ | <br clear="all" /> |
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<p style="text-align:center;"> |
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[[SubjectAreaTemplates|Templates by Subject Area]] |
[[SubjectAreaTemplates|Templates by Subject Area]] |
Revision as of 16:25, 2 December 2010
Requiring Trig Identities to be Used by Cleverly Redefining Functions
This PG code shows how to redefine a named function internally so that students must apply a trig identity and simplify their answer.
- Download file: File:TrigIdentities1.txt (change the file extension from txt to pg when you save it)
- File location in NPL:
FortLewis/Authoring/Templates/Trig/TrigIdentities.pg
PG problem file | Explanation |
---|---|
Problem tagging: |
|
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "AnswerFormatHelp.pl", "answerHints.pl", ); TEXT(beginproblem()); |
Initialization: |
Context("Numeric"); Context()->functions->remove("tan"); package NewFunc; # this next line makes the function a # function from reals to reals our @ISA = qw(Parser::Function::numeric); sub tan { shift; my $x = shift; return CORE::exp($x*3.1415926535); } package main; # Make it work on formulas as well as numbers sub tan {Parser::Function->call('tan',@_)} # Add the new functions to the Context Context()->functions->add( tan => {class =>'NewFunc', TeX =>'\tan'}, ); |
Setup:
We redefine the function whose
name is |
Context()->texStrings; BEGIN_TEXT Simplify the expression as much as possible. $BR $BR \( \tan(x) \cos(x) \) = \{ ans_rule(20) \} \{ AnswerFormatHelp("formulas") \} END_TEXT Context()->normalStrings; |
Main Text: |
$showPartialCorrectAnswers = 1; ANS(Formula("sin(x)")->cmp() ->withPostFilter(AnswerHints( Compute("tan(x)*cos(x)") => "No credit for entering what you were given.", )) ); |
Answer Evaluation: |
Context()->texStrings; BEGIN_SOLUTION ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT(); |
Solution: |