TrigIdentities1
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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 |
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Problem tagging: |
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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: |