http://jsxgraph.org/wiki/api.php?action=feedcontributions&user=132.180.198.33&feedformat=atom
JSXGraph Wiki - User contributions [en]
2024-03-29T13:03:19Z
User contributions
MediaWiki 1.40.1
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=176
Power Series for sine and cosine
2008-09-17T11:40:19Z
<p>132.180.198.33: </p>
<hr />
<div>== Power Series for Sine ==<br />
<html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
't', <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
</html><br />
<source lang="javascript"><br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});<br />
board1.createElement('curve', [<br />
't', <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
}, "t", -10, 10], {strokeColor: "#bb0000", curveType:'plot'});<br />
board1.unsuspendUpdate();<br />
</source><br />
<br />
== Power Series for Cosine ==<br />
<html><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
't', <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900", curveType:'plot'}); <br />
board2.unsuspendUpdate();<br />
</script><br />
</html><br />
<source lang="javascript"><br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board2.suspendUpdate();<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'T'});<br />
board2.createElement('curve', [<br />
't', <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
}, "t", -10, 10],{strokeColor: "#009900", curveType:'plot'}); <br />
board2.unsuspendUpdate();<br />
</source><br />
<br />
[[Category:Examples]]</div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=170
Power Series for sine and cosine
2008-09-17T11:23:43Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=169
Power Series for sine and cosine
2008-09-17T11:23:22Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=168
Power Series for sine and cosine
2008-09-17T11:22:30Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -5, 5],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -5, 5], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -5, 5],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -5, 5],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=167
Power Series for sine and cosine
2008-09-17T11:20:53Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=166
Power Series for sine and cosine
2008-09-17T11:20:33Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.75,-2.5,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=165
Power Series for sine and cosine
2008-09-17T11:20:13Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.75,-3,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=164
Power Series for sine and cosine
2008-09-17T11:19:22Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:400px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.75,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=163
Power Series for sine and cosine
2008-09-17T11:17:57Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:400px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [0.5,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=162
Power Series for sine and cosine
2008-09-17T11:17:19Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:400px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 100, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [1,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=161
Power Series for sine and cosine
2008-09-17T11:16:34Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 100, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=160
Power Series for sine and cosine
2008-09-17T11:15:57Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 50, unitY: 50});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=159
Power Series for sine and cosine
2008-09-17T11:15:21Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 25, unitY: 25});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=158
Power Series for sine and cosine
2008-09-17T11:12:46Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 30, unitY: 30});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 30, unitY: 30});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=157
Power Series for sine and cosine
2008-09-17T11:10:47Z
<p>132.180.198.33: </p>
<hr />
<div><div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 30, unitY: 30});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 30, unitY: 30});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=156
Power Series for sine and cosine
2008-09-17T11:10:28Z
<p>132.180.198.33: </p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 30, unitY: 30});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 30, unitY: 30});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33
http://jsxgraph.org/wiki/index.php?title=Power_Series_for_sine_and_cosine&diff=155
Power Series for sine and cosine
2008-09-17T11:09:23Z
<p>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...</p>
<hr />
<div><html><br />
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" /><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script><br />
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script><br />
<div id="jxgbox1" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board1 = JXG.JSXGraph.initBoard('jxgbox1', {originX: 300, originY: 150, unitX: 30, unitY: 30});<br />
board1.suspendUpdate();<br />
// Axes and Properties<br />
board1.createElement('axis', [[1,0], [0,0]], {});<br />
board1.createElement('axis', [[0,1], [0,0]], {});<br />
board1.snapToGrid = true;<br />
//<br />
board1.createElement('curve', [function(t){ return t; }, function(t){ return Math.sin(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s = board1.createElement('slider', [2,-4,5,0,10,0], {name:'S'});<br />
//<br />
board1.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i + 1) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10], {strokeColor: "#bb0000"});<br />
board1.unsuspendUpdate();<br />
/*<br />
*/ <br />
</script> <br />
<h2>Power Series for Cosine</h2><br />
<div id="jxgbox2" class="jxgbox" style="width:600px; height:300px;"></div><br />
<script language="JavaScript"><br />
// Board<br />
board2 = JXG.JSXGraph.initBoard('jxgbox2', {originX: 300, originY: 150, unitX: 30, unitY: 30});<br />
board2.suspendUpdate();<br />
// Axes and Properties<br />
board2.createElement('axis', [[1,0], [0,0]], {});<br />
board2.createElement('axis', [[0,1], [0,0]], {});<br />
board2.snapToGrid = true;<br />
//<br />
board2.createElement('curve', [function(t){ return t; }, function(t){ return Math.cos(t); }, "t", -10, 10],{strokeColor: "#cccccc"});<br />
//<br />
var s2 = board2.createElement('slider', [2,-4,5,0,10,0], {name:'T'});<br />
//<br />
board2.createElement('curve', [<br />
function(t){ return t; }, <br />
function(t) {<br />
var val = 0;<br />
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {<br />
var f = 1;<br />
var n = 1;<br />
while (n <= 2 * i) { f = f * n++; }<br />
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / f;<br />
}<br />
return val;<br />
},<br />
"t", -10, 10],{strokeColor: "#009900"}); <br />
board2.unsuspendUpdate();<br />
</script></div>
132.180.198.33