Difference between revisions of "Power Series for sine and cosine"
(New page: <html> <link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /> <script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/pro...) |
|||
| Line 3: | Line 3: | ||
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script> | <script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script> | ||
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script> | <script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script> | ||
| − | + | <script language="JavaScript"> | |
| − | + | // Board | |
| − | + | board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 30, unitY: 30}); | |
| − | + | board1.suspendUpdate(); | |
| − | + | // Axes and Properties | |
| − | + | board1.createElement('axis', [[1,0], [0,0]], {}); | |
| − | + | board1.createElement('axis', [[0,1], [0,0]], {}); | |
| − | + | board1.snapToGrid = true; | |
| − | + | // | |
| − | + | board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); | |
| − | + | // | |
| − | + | var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'}); | |
| − | + | // | |
| − | + | board1.createElement('curve', [ | |
| − | + | function(t){ return t; }, | |
| − | + | function(t) { | |
| − | + | var val = 0; | |
| − | + | for(var i = 0; i < Math.floor(s.X()) + 1; i++) { | |
| − | + | var f = 1; | |
| − | + | var n = 1; | |
| − | + | while (n <= 2 * i + 1) { f = f * n++; } | |
| − | + | val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f; | |
| − | + | } | |
| − | + | return val; | |
| − | + | }, | |
| − | + | "t", -10, 10], {strokeColor: "#bb0000"}); | |
| − | + | board1.unsuspendUpdate(); | |
| − | + | /* | |
| − | + | */ | |
| − | + | </script> | |
| − | + | <h2>Power Series for Cosine</h2> | |
| − | + | <div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div> | |
| − | + | <script language="JavaScript"> | |
| − | + | // Board | |
| − | + | board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 30, unitY: 30}); | |
| − | + | board2.suspendUpdate(); | |
| − | + | // Axes and Properties | |
| − | + | board2.createElement('axis', [[1,0], [0,0]], {}); | |
| − | + | board2.createElement('axis', [[0,1], [0,0]], {}); | |
| − | + | board2.snapToGrid = true; | |
| − | + | // | |
| − | + | board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); | |
| − | + | // | |
| − | + | var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'}); | |
| − | + | // | |
| − | + | board2.createElement('curve', [ | |
| − | + | function(t){ return t; }, | |
| − | + | function(t) { | |
| − | + | var val = 0; | |
| − | + | for(var i = 0; i < Math.floor(s2.X()) + 1; i++) { | |
| − | + | var f = 1; | |
| − | + | var n = 1; | |
| − | + | while (n <= 2 * i) { f = f * n++; } | |
| − | + | val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f; | |
| − | + | } | |
| − | + | return val; | |
| − | + | }, | |
| − | + | "t", -10, 10],{strokeColor: "#009900"}); | |
| − | + | board2.unsuspendUpdate(); | |
| − | + | </script> | |
| − | |||
Revision as of 13:10, 17 September 2008
<html> <link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /> <script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script> <script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script> <script language="JavaScript"> // Board board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 30, unitY: 30}); board1.suspendUpdate(); // Axes and Properties board1.createElement('axis', [[1,0], [0,0]], {}); board1.createElement('axis', [[0,1], [0,0]], {}); board1.snapToGrid = true; // board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); // var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'}); // board1.createElement('curve', [ function(t){ return t; }, function(t) { var val = 0; for(var i = 0; i < Math.floor(s.X()) + 1; i++) { var f = 1; var n = 1; while (n <= 2 * i + 1) { f = f * n++; }
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;
} return val; }, "t", -10, 10], {strokeColor: "#bb0000"}); board1.unsuspendUpdate(); /*
- /
</script>
Power Series for Cosine
<script language="JavaScript"> // Board board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 30, unitY: 30}); board2.suspendUpdate(); // Axes and Properties board2.createElement('axis', [[1,0], [0,0]], {}); board2.createElement('axis', [[0,1], [0,0]], {}); board2.snapToGrid = true; // board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"}); // var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'}); // board2.createElement('curve', [ function(t){ return t; }, function(t) { var val = 0; for(var i = 0; i < Math.floor(s2.X()) + 1; i++) { var f = 1; var n = 1; while (n <= 2 * i) { f = f * n++; }
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;
} return val; }, "t", -10, 10],{strokeColor: "#009900"}); board2.unsuspendUpdate(); </script>
