Edit in JSFiddle

function pow(a, b){
	var total = 1;
    
    while(b){
    	total *= a;
        b--;
    }
    
    return total;
}

function factorial(n){
    if(n <= 1)
        return n;
    return n * factorial(n - 1);
}

function deg_to_rad(x){
    return x * 3.1415926 / 180;
}

function vsin(n){
    return function(x){
        var total = x,
            temp1,
            temp2,
            i;

        for(i = 0; i <= n; i++){
            temp1 = 3 + (i * 4);
            temp2 = temp1 + 2
            total -= pow(x, temp1) / factorial(temp1);
            total += pow(x, temp2) / factorial(temp2);
        }
        
        return total;
    }
}

canvas.width = 400;
canvas.height = 400;
var ctx = canvas.getContext("2d");
var i;
var colors = [
	"#ff0000",
    "#007700",
    "#0000ff",
    "#ff7700",
    "#0077ff",
    "#ff00ff"
];

function drawSine(sinf, y, color){
    ctx.fillStyle = color;
    for(var i = 0; i < 360; i+=0.05){
        ctx.fillRect(i * 10,y-sinf(i) * 10, 2,2);
    }
}

drawSine(Math.sin, 10, "#000000");

for(i = 0; i < 30; i++){
    drawSine(vsin(i), 20 + i * 10, colors[i % colors.length]);
}

<canvas id=canvas></canvas>

canvas{
    border:1px solid black;
}