Difference between revisions of "Power Series for sine and cosine"
From JSXGraph Wiki
Jump to navigationJump to search| Line 36: | Line 36: | ||
</html> | </html> | ||
<source lang="javascript"> | <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', [ | ||
| + | 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(); | ||
</source> | </source> | ||
| Line 70: | Line 89: | ||
</html> | </html> | ||
<source lang="javascript"> | <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', [ | ||
| + | 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(); | ||
</source> | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
Revision as of 13:31, 17 September 2008
Power Series for Sine
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', [
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();
Power Series for Cosine
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', [
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();
