The problem is not with the Javascript math; it’s with the canvas.
http://jsfiddle.net/LDWBX/
function bigCircle(angle) {
var radius = 5000; //the bigger, the worse
var x = canvas.width/2 + radius*Math.cos(angle);
var y = canvas.height/2 + radius*Math.sin(angle);
ctx.beginPath();
ctx.arc(x, y, radius, 0, 2 * Math.PI);
ctx.lineWidth = 2;
ctx.stroke();
}
Notice that numbers appear exactly the same as in Firefox, but the red arc is obviously drawn incorrectly in Chrome.

Interestingly, this works for all angles that are multiples of Math.PI / 4 but is off for values between those (hence the undulating behavior in the OP’s example).
I’ve logged Chromium bug #320335.
EDIT: It looks like it was first reported in May 2012, and was caused by a bug in the Skia library.
It has now been resolved as fixed.