File: sin.html

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jsxgraph 1.3.5+dfsg1-2
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<html>
<head>
   <title>JSXGraph example</title>
   <link rel="stylesheet" type="text/css" href="../distrib/jsxgraph.css" />
   <script type="text/javascript" src="/javascript/prototype/prototype.js"></script>
   <script type="text/javascript" src="../src/loadjsxgraph.js"></script>
</head>
<body>
    <h2>Power Series for Sine</h2>
    <div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div>
<br clear=all>
<div id="debug" style="display:block;"></div>
<script language="JavaScript">
// Board
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 200, originY: 150, unitX: 5, unitY: 5});

board1.suspendUpdate();
// Axes and Properties
board1.createElement('axis', [[0,0], [1,0]], {});
board1.createElement('axis', [[0,0], [0,1]], {});
board1.snapToGrid = true;
//
board1.createElement('functiongraph', [function(t){ return Math.sin(t); }, -10, 10],{strokeColor: "#cccccc"});
var s = board1.createElement('slider', [[2,-4],[7,-4],[0,1,10]], {name:'S',snapWidth:1});

board1.createElement('curve', [
    function(t){ return t; }, 
    function(t) {
        var val = 0;
        for(var i = 0; i < s.Value() + 1; i++) {
            var f = JXG.Math.factorial(2*i+1);  // sin
            val += Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;
        }
        return val;
    },
-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', [[0,0], [1,0]], {});
board2.createElement('axis', [[0,0], [0,1]], {});
board2.snapToGrid = true;
//
board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
var s2 = board2.createElement('slider', [[2,-4],[7,-4],[0,0,10]], {name:'S2',snapWidth:1});

board2.createElement('curve', [
    function(t){ return t; }, 
    function(t) {
        var val = 0;
        for(var i = 0; i < s2.Value() + 1; i++) {
            //var f = 1;
            //var n = 1;
            //while (n <= 2 * i) { f = f * n++; }
            var f = JXG.Math.factorial(2*i);
               val += Math.pow(-1, i) * Math.pow(t, 2 * i) / f;
        }
        return val;
    },
-10, 10],{strokeColor: "#009900"});
board2.unsuspendUpdate();
</script>

<h2>Binomial theorem</h2>
<div id="jxgbox3" class="jxgbox" style="width:600px; height:300px;"></div>
<script language="JavaScript">
board3 = JXG.JSXGraph.initBoard('jxgbox3', {originX: 300, originY: 150, unitX: 25, unitY: 25, axis:true, grid:true});
board3.suspendUpdate();
board3.snapToGrid = true;
//
var s3 = board3.createElement('slider', [[2,-4],[7,-4],[0,0,10]], {name:'S3',snapWidth:1});
board3.createElement('functiongraph', [function(t){ return Math.pow(1+t,s3.Value()); }, -10, 10],{strokeColor: "#cccccc"});

board3.createElement('functiongraph', [
    function(x) {
        var val = 0;
        var n = Math.round(s3.Value());
        var z = 1;
        for(var k=0; k<=n; k++) {
            var f = JXG.Math.binomial(n,k);
            val += z*f;
            z *= x;
        }
        return val;
    },
-3, 3],{strokeColor: "#009900"});
board3.unsuspendUpdate();
</script>

</body>
</html>