Cosine

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Revision as of 13:41, 6 March 2016 by Bookofproofs (talk | contribs)
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Complex PlaneCosine Graph
var brd = JXG.JSXGraph.initBoard('box', {boundingbox: [-1.5, 1.5, 1.5, -1.5], axis:true}); var ax = brd.create('line',[[0,0],[1,0]],{visible:false}); var ay = brd.create('line',[[0,0],[0,1]],{visible:false}); var p0 = brd.create('point',[0,0],{fixed:true,visible:false}); var p1 = brd.create('point',[1,0],{name:'',visible:false,fixed:true}); var c = brd.create('circle',[p0,p1],{dash:2,strokeWidth:1,strokeOpacity:0.6}); var p2 = brd.create('point',[Math.cos(x.X()),Math.sin(x.X())],{name:'exp(ix)',fixed:true,size:1, strokeColor:'green'}); var p3 = brd.create('point',[function(){return p2.X();},0.0],{visible:false,name:'',withLabel:false}); var p4 = brd.create('point',[0.0,function(){return p2.Y();}],{visible:false,name:'',withLabel:false}); brd.create('line',[p2,p4],{straightFirst:false,straightLast:false,strokeColor:'red'}); // cos brd.create('text',[ function(){return (p2.X()+p4.X())*0.3;}, function(){return p2.Y()+0.05;}, 'cos'],{}); var brd1 = JXG.JSXGraph.initBoard('boxR', {boundingbox: [-10, 1.5, 10, -1.5], axis:true}); var xr = brd1.create('line',[[-9,0],[9,0]],{visible:false}); var x = brd1.create('glider',[-9,0,xr],{visible:true, name:'x'}); var y = brd1.create('point',[x.X(),Math.cos(x.X())],{size:1,name:'',strokeColor:'green'}); var x1 = brd1.create('segment',[x,y],{visible:true, straightFirst:false,straightLast:false,strokeColor:'red'}); x.on('drag', function(){ transform(x);}); var f = brd1.create('functiongraph', [function(x){ return Math.cos(x); }]); brd1.create('text',[ function(){return x.X()+0.3;}, function(){return y.Y()*0.5;}, 'cos'],{}); function transform(x) { p2.setPosition(JXG.COORDS_BY_USER,[Math.cos(x.X()),Math.sin(x.X())]); y.setPosition(JXG.COORDS_BY_USER,[x.X(),Math.cos(x.X())]); brd.update(); }