Power Series for sine and cosine: Difference between revisions
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| Line 11: | Line 11: | ||
board1.suspendUpdate(); | board1.suspendUpdate(); | ||
board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"}); | board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"}); | ||
var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S'}); | var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1}); | ||
board1.createElement('functiongraph', [ | board1.createElement('functiongraph', [ | ||
function(t) { | function(t) { | ||
var val = 0; | var val = 0; | ||
for(var i = 0; i < | for(var i = 0; i < s.Value()+1; i++) { | ||
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1); | val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1); | ||
} | } | ||
| Line 33: | Line 33: | ||
board1.suspendUpdate(); | board1.suspendUpdate(); | ||
board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"}); | board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"}); | ||
var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S'}); | var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1}); | ||
board1.createElement('functiongraph', [ | board1.createElement('functiongraph', [ | ||
function(t) { | function(t) { | ||
var val = 0; | var val = 0; | ||
for(var i = 0; i < | for(var i = 0; i < s.Value() + 1; i++) { | ||
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1); | val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1); | ||
} | } | ||
| Line 72: | Line 72: | ||
board2.suspendUpdate(); | board2.suspendUpdate(); | ||
board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"}); | board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"}); | ||
var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T'}); | var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T',snapWidth:1}); | ||
board2.createElement('functiongraph', [ | board2.createElement('functiongraph', [ | ||
function(t) { | function(t) { | ||
var val = 0; | var val = 0; | ||
for(var i = 0; i < | for(var i = 0; i < s2.Value() + 1; i++) { | ||
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i); | val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i); | ||
} | } | ||
Revision as of 16:59, 22 June 2009
Power Series for Sine
<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:600px;"></div>
board1 = JXG.JSXGraph.initBoard('jxgbox1', {axis:true, originX: 300, originY: 150, unitX: 50, unitY: 50});
board1.suspendUpdate();
board1.createElement('functiongraph', [function(t){ return Math.sin(t); },-10, 10],{strokeColor: "#cccccc"});
var s = board1.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'S',snapWidth:1});
board1.createElement('functiongraph', [
function(t) {
var val = 0;
for(var i = 0; i < s.Value()+1; i++) {
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i + 1) / board1.factorial(2*i+1);
}
return val;
}, -10, 10], {strokeColor: "#bb0000"});
board1.unsuspendUpdate();
Power Series for Cosine
board2 = JXG.JSXGraph.initBoard('jxgbox2', {axis:true, originX: 300, originY: 150, unitX: 50, unitY: 50});
board2.suspendUpdate();
board2.createElement('functiongraph', [function(t){ return Math.cos(t); }, -10, 10],{strokeColor: "#cccccc"});
var s2 = board2.createElement('slider', [[0.75,-1.5],[5.75,-1.5],[0,0,10]], {name:'T'});
board2.createElement('functiongraph', [
function(t) {
var val = 0;
for(var i = 0; i < Math.floor(s2.Value()) + 1; i++) {
val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
}
return val;
}, -10, 10],{strokeColor: "#009900"});
board2.unsuspendUpdate();
