JSXGraph Wiki - User contributions [en]

Power Series for sine and cosine

2008-09-17T11:40:19Z

132.180.198.33:

== Power Series for Sine ==
<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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", -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++) {
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", curveType:'plot'});
board1.unsuspendUpdate();
/*
*/
</script>
</html>
<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++) {
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", curveType:'plot'});
board1.unsuspendUpdate();
</source>

== Power Series for Cosine ==
<html>
<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: 50, unitY: 50});
board2.suspendUpdate();
// Axes and Properties
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++) {
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", curveType:'plot'});
board2.unsuspendUpdate();
</script>
</html>
<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 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++) {
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", curveType:'plot'});
board2.unsuspendUpdate();
</source>

[[Category:Examples]]

Power Series for sine and cosine

2008-09-17T11:23:43Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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", -10, 10],{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", -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: 50, unitY: 50});
board2.suspendUpdate();
// Axes and Properties
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', [
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>

Power Series for sine and cosine

2008-09-17T11:23:22Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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", -10, 10],{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", -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: 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", -10, 10],{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", -10, 10],{strokeColor: "#009900"});
board2.unsuspendUpdate();
</script>

Power Series for sine and cosine

2008-09-17T11:22:30Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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>
<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: 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>

Power Series for sine and cosine

2008-09-17T11:20:53Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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", -10, 10],{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", -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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:20:33Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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.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', [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", -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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:20:13Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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.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', [0.75,-3,5,0,10,0], {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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:19:22Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:400px;"></div>
<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.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', [0.75,-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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:17:57Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:400px;"></div>
<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.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', [0.5,-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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:17:19Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:400px;"></div>
<script language="JavaScript">
// Board
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 100, unitX: 50, unitY: 50});
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', [1,-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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:16:34Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<script language="JavaScript">
// Board
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 100, unitX: 50, unitY: 50});
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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:15:57Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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.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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:15:21Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<script language="JavaScript">
// Board
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 25, unitY: 25});
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: 25, unitY: 25});
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>

Power Series for sine and cosine

2008-09-17T11:12:46Z

132.180.198.33:

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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>

Power Series for sine and cosine

2008-09-17T11:10:47Z

132.180.198.33:

<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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>

Power Series for sine and cosine

2008-09-17T11:10:28Z

132.180.198.33:

<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>
<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>

Power Series for sine and cosine

2008-09-17T11:09:23Z

132.180.198.33: 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...

<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>
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<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>