Sine and cosine: Difference between revisions
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Animation of the sine and cosine curve. | Animation of the sine and cosine curve. | ||
<html> | <html> | ||
<a href="javascript:void(0);" onclick="animate(b1p1, -10, 41);">Click here to start and stop animation</a>. | <a href="javascript:void(0);" onclick="animate(b1p1, -10, 41);">Click here to start and stop animation</a>. | ||
< | </html> | ||
<jsxgraph box="box" width="400" height="400"> | |||
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1.33, 1.33, 1.33, -1.33], axis: true}); | |||
board.suspendUpdate(); | |||
var b1c1 = board.create('circle', [[0,0], [1,0]]); | |||
var b1p1 = board.create('point', [2, 0], {slideObject: b1c1}); | |||
var perp = board.create('perpendicular', [board.defaultAxes.x,b1p1],[{strokeColor: '#ff0000', visible: true}, {visible: false}]); | |||
var perp2 = board.create('perpendicular',[board.defaultAxes.y,b1p1],[{strokeColor: '#0000ff', visible: true}, {visible: false}]); | |||
board.unsuspendUpdate(); | |||
// Animation | |||
var animated = false; | |||
function animate(point, direction, count) { | |||
if(animated) { | |||
point.stopAnimation(); | |||
animated = false; | |||
} else { | |||
point.startAnimation(direction, count); | |||
animated = true; | |||
} | |||
} | |||
</jsxgraph> | |||
<jsxgraph box="box2" width="400" height="400"> | |||
var board2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-1, 1.33, 7, -1.33], axis: true}); | |||
board2.suspendUpdate(); | |||
board2.create('ticks', [board2.defaultAxes.x, [Math.PI, 2*Math.PI]], {strokeColor: 'green', strokeWidth: 2}); | |||
// sine: | |||
var b2p1 = board2.create('point', [ | |||
function(){ return JXG.Math.Geometry.rad([1,0],[0,0],b1p1); }, | |||
function(){ | |||
function() { return b1p1.Y() }], | function() { return b1p1.Y() }], | ||
{fixed: true, trace: true, | {fixed: true, trace: true, color: '#ff0000', name: 'S'}); | ||
// cosine: | |||
var b2p2 = board2.create('point', [ | |||
function(){ return | function(){ return JXG.Math.Geometry.rad([1,0],[0,0],b1p1); }, | ||
function() { return b1p1.X() }], | function() { return b1p1.X() }], | ||
{fixed: true, trace: true, | {fixed: true, trace: true, color: '#0000ff', name: 'C'}); | ||
// Dependencies (only necessary if b2p1 or b2p2 is deleted) | |||
b1p1.addChild(b2p1); | |||
b1p1.addChild(b2p2); | |||
board2.unsuspendUpdate(); | |||
board.addChild(board2); | |||
</jsxgraph> | |||
===The underlying JavaScript code=== | |||
<source lang="javascript"> | |||
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1.33, 1.33, 1.33, -1.33], axis: true}); | |||
board.suspendUpdate(); | |||
var b1c1 = board.create('circle', [[0,0], [1,0]]); | |||
var b1p1 = board.create('point', [2, 0], {slideObject: b1c1}); | |||
var perp = board.create('perpendicular', [board.defaultAxes.x,b1p1],[{strokeColor: '#ff0000', visible: true}, {visible: false}]); | |||
var perp2 = board.create('perpendicular',[board.defaultAxes.y,b1p1],[{strokeColor: '#0000ff', visible: true}, {visible: false}]); | |||
board.unsuspendUpdate(); | |||
// Animation | |||
var animated = false; | |||
function animate(point, direction, count) { | |||
if(animated) { | if(animated) { | ||
point.stopAnimation(); | |||
animated = false; | |||
} else { | } else { | ||
point.startAnimation(direction, count); | |||
animated = true; | |||
} | } | ||
} | |||
var board2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-1, 1.33, 7, -1.33]}); | |||
board2.suspendUpdate(); | |||
var xax2 = board2.create('axis', [[0,0], [1,0]]); | |||
board2.create('axis', [[0,0], [0,1]]); | |||
board2.create('ticks', [xax2, [Math.PI, 2*Math.PI]], {strokeColor: 'green', strokeWidth: 2}); | |||
// sine: | |||
var b2p1 = board2.create('point', [ | |||
function(){ return JXG.Math.Geometry.rad([1,0],[0,0],b1p1); }, | |||
function(){ | |||
function() { return b1p1.Y() }], | function() { return b1p1.Y() }], | ||
{fixed: true, trace: true, | {fixed: true, trace: true, color: '#ff0000', name: 'S'}); | ||
// cosine: | |||
var b2p2 = board2.create('point', [ | |||
function(){ return | function(){ return JXG.Math.Geometry.rad([1,0],[0,0],b1p1); }, | ||
function() { return b1p1.X() }], | function() { return b1p1.X() }], | ||
{fixed: true, trace: true, | {fixed: true, trace: true, color: '#0000ff', name: 'C'}); | ||
// Dependencies (only necessary if b2p1 or b2p2 is deleted) | |||
b1p1.addChild(b2p1); | |||
b1p1.addChild(b2p2); | |||
board2.unsuspendUpdate(); | |||
board.addChild(board2); | |||
</source> | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Geometry]] |
Latest revision as of 15:58, 20 February 2013
Animation of the sine and cosine curve. Click here to start and stop animation.
The underlying JavaScript code
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1.33, 1.33, 1.33, -1.33], axis: true});
board.suspendUpdate();
var b1c1 = board.create('circle', [[0,0], [1,0]]);
var b1p1 = board.create('point', [2, 0], {slideObject: b1c1});
var perp = board.create('perpendicular', [board.defaultAxes.x,b1p1],[{strokeColor: '#ff0000', visible: true}, {visible: false}]);
var perp2 = board.create('perpendicular',[board.defaultAxes.y,b1p1],[{strokeColor: '#0000ff', visible: true}, {visible: false}]);
board.unsuspendUpdate();
// Animation
var animated = false;
function animate(point, direction, count) {
if(animated) {
point.stopAnimation();
animated = false;
} else {
point.startAnimation(direction, count);
animated = true;
}
}
var board2 = JXG.JSXGraph.initBoard('box2', {boundingbox: [-1, 1.33, 7, -1.33]});
board2.suspendUpdate();
var xax2 = board2.create('axis', [[0,0], [1,0]]);
board2.create('axis', [[0,0], [0,1]]);
board2.create('ticks', [xax2, [Math.PI, 2*Math.PI]], {strokeColor: 'green', strokeWidth: 2});
// sine:
var b2p1 = board2.create('point', [
function(){ return JXG.Math.Geometry.rad([1,0],[0,0],b1p1); },
function() { return b1p1.Y() }],
{fixed: true, trace: true, color: '#ff0000', name: 'S'});
// cosine:
var b2p2 = board2.create('point', [
function(){ return JXG.Math.Geometry.rad([1,0],[0,0],b1p1); },
function() { return b1p1.X() }],
{fixed: true, trace: true, color: '#0000ff', name: 'C'});
// Dependencies (only necessary if b2p1 or b2p2 is deleted)
b1p1.addChild(b2p1);
b1p1.addChild(b2p2);
board2.unsuspendUpdate();
board.addChild(board2);