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

From JSXGraph Wiki
Jump to: navigation, search
Line 15: Line 15:
 
   function(t) {
 
   function(t) {
 
     var val = 0;
 
     var val = 0;
     for(var i = 0; i < Math.floor(s.X()) + 1; i++) {
+
     for(var i = 0; i < Math.floor(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 37: Line 37:
 
function(t) {
 
function(t) {
 
var val = 0;
 
var val = 0;
for(var i = 0; i < Math.floor(s.X()) + 1; i++) {
+
for(var i = 0; i < Math.floor(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 58: Line 58:
 
   function(t) {
 
   function(t) {
 
     var val = 0;
 
     var val = 0;
     for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {
+
     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);
 
       val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
 
     }
 
     }
Line 76: Line 76:
 
function(t) {
 
function(t) {
 
var val = 0;
 
var val = 0;
for(var i = 0; i < Math.floor(s2.X()) + 1; i++) {
+
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);
 
   val = val + Math.pow(-1, i) * Math.pow(t, 2 * i) / board2.factorial(2*i);
 
}
 
}

Revision as of 14:22, 4 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'});
board1.createElement('functiongraph', [
  function(t) {
    var val = 0;
    for(var i = 0; i < Math.floor(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();

References