Difference between revisions of "Power Series for sine and cosine"

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Line 12: Line 12:
 
board1.createElement('axis', [[0,1], [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"});
+
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -5, 5],{strokeColor: "#cccccc"});
 
//
 
//
 
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});
 
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});
Line 28: Line 28:
 
return val;
 
return val;
 
},
 
},
"t", -10, 10], {strokeColor: "#bb0000"});
+
"t", -5, 5], {strokeColor: "#bb0000"});
 
board1.unsuspendUpdate();
 
board1.unsuspendUpdate();
 
/*
 
/*
Line 37: Line 37:
 
<script language="JavaScript">
 
<script language="JavaScript">
 
// Board
 
// Board
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});
+
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});
 
board2.suspendUpdate();
 
board2.suspendUpdate();
 
// Axes and Properties
 
// Axes and Properties
Line 44: Line 44:
 
board2.snapToGrid = true;
 
board2.snapToGrid = true;
 
//
 
//
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});
+
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -5, 5],{strokeColor: "#cccccc"});
 
//
 
//
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});
+
var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'T'});
 
//
 
//
 
board2.createElement('curve', [
 
board2.createElement('curve', [
Line 60: Line 60:
 
return val;
 
return val;
 
},
 
},
"t", -10, 10],{strokeColor: "#009900"});
+
"t", -5, 5],{strokeColor: "#009900"});
 
board2.unsuspendUpdate();
 
board2.unsuspendUpdate();
 
</script>
 
</script>

Revision as of 12:22, 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: 50, unitY: 50}); board1.suspendUpdate(); // Axes and Properties 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", -5, 5],{strokeColor: "#cccccc"}); // var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {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", -5, 5], {strokeColor: "#bb0000"}); board1.unsuspendUpdate(); /*

  • /

</script>

Power Series for Cosine

<script language="JavaScript"> // Board board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50}); 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", -5, 5],{strokeColor: "#cccccc"}); // var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {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", -5, 5],{strokeColor: "#009900"}); board2.unsuspendUpdate(); </script>