How to draw sine waves with SVG (+JS)?

Question

What would be the simplest solution to draw sine waves in SVG? I guess sine waves should be repeated in a simple loop with JavaScript... :)

Here are the X-Y coordinates as a good start... :)

http://jsbin.com/adaxuy/1/edit

<svg>
  <line x1="0" y1="250" x2="500" y2="250"
        style="stroke:black;stroke-width:1"/>
  <line x1="250" y1="0" x2="250" y2="500"
        style="stroke:black;stroke-width:1"/>
</svg>

Answer 1

Here is a proof of concept that adds multiple line elements to the SVG element:

var svg = document.getElementById('sine_wave').children[0];
var origin = { //origin of axes
    x: 100,
    y: 100
};
var amplitude = 10; // wave amplitude
var rarity = 1; // point spacing
var freq = 0.1; // angular frequency
var phase = 0; // phase angle

for (var i = -100; i < 1000; i++) {
    var line = document.createElementNS("http://www.w3.org/2000/svg", "line");

    line.setAttribute('x1', (i - 1) * rarity + origin.x);
    line.setAttribute('y1', Math.sin(freq*(i - 1 + phase)) * amplitude + origin.y);

    line.setAttribute('x2', i * rarity + origin.x);
    line.setAttribute('y2', Math.sin(freq*(i + phase)) * amplitude + origin.y);

    line.setAttribute('style', "stroke:black;stroke-width:1");

    svg.appendChild(line);
}

html, body, div{
    height:100%;
}

<div id="sine_wave">

  <svg width="1000" height="1000">
    <line x1="100" y1="0" x2="100" y2="200"
          style="stroke:black;stroke-width:1"/>
    <line x1="0" y1="100" x2="1000" y2="100"
          style="stroke:black;stroke-width:1"/>
  </svg>

</div>