Difference between revisions of "Power Series for sine and cosine"
From JSXGraph Wiki
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== Power Series for Sine == | == Power Series for Sine == | ||
| + | <source lang="javascript"> | ||
| + | board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50}); | ||
| + | board1.suspendUpdate(); | ||
| + | board1.createElement('axis', [[1,0], [0,0]], {}); | ||
| + | board1.createElement('axis', [[0,1], [0,0]], {}); | ||
| + | board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); | ||
| + | var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'}); | ||
| + | board1.createElement('curve', [ | ||
| + | 't', | ||
| + | function(t) { | ||
| + | var val = 0; | ||
| + | for(var i = 0; i < Math.floor(s.X()) + 1; i++) { | ||
| + | val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1); | ||
| + | } | ||
| + | return val; | ||
| + | }, "t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'}); | ||
| + | board1.unsuspendUpdate(); | ||
| + | </source> | ||
| + | |||
<html> | <html> | ||
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /> | <link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /> | ||
| Line 33: | Line 52: | ||
</html> | </html> | ||
| + | == Power Series for Cosine == | ||
<source lang="javascript"> | <source lang="javascript"> | ||
| − | + | board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50}); | |
| − | + | board2.suspendUpdate(); | |
| − | + | board2.createElement('axis', [[1,0], [0,0]], {}); | |
| − | + | board2.createElement('axis', [[0,1], [0,0]], {}); | |
| − | + | board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); | |
| − | var | + | var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'T'}); |
| − | + | board2.createElement('curve', [ | |
't', | 't', | ||
function(t) { | function(t) { | ||
var val = 0; | var val = 0; | ||
| − | for(var i = 0; i < Math.floor( | + | for(var i = 0; i < Math.floor(s2.X()) + 1; i++) { |
| − | val = val + Math.pow(-1, i) * Math.pow(t, 2 * i | + | val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i); |
} | } | ||
return val; | return val; | ||
| − | }, "t", -10, 10], {strokeColor: "# | + | }, "t", -10, 10],{strokeColor: "#009900", curveType:'plot'}); |
| − | + | board2.unsuspendUpdate(); | |
</source> | </source> | ||
| − | |||
| − | |||
<html> | <html> | ||
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div> | <div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div> | ||
| Line 80: | Line 98: | ||
</script> | </script> | ||
</html> | </html> | ||
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[[Category:Examples]] | [[Category:Examples]] | ||
Revision as of 17:27, 17 September 2008
Power Series for Sine
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});
board1.suspendUpdate();
board1.createElement('axis', [[1,0], [0,0]], {});
board1.createElement('axis', [[0,1], [0,0]], {});
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});
board1.createElement('curve', [
't',
function(t) {
var val = 0;
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
}
return val;
}, "t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'});
board1.unsuspendUpdate();
Power Series for Cosine
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});
board2.suspendUpdate();
board2.createElement('axis', [[1,0], [0,0]], {});
board2.createElement('axis', [[0,1], [0,0]], {});
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});
var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'T'});
board2.createElement('curve', [
't',
function(t) {
var val = 0;
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
}
return val;
}, "t", -10, 10],{strokeColor: "#009900", curveType:'plot'});
board2.unsuspendUpdate();
