var sines = []; //create empty array

    function sine(angle) // angle in degrees 0 to 179
    {
        if (angle in sines) // got it already?
        {
            document.write("Cached ..");
            return sines[angle]; // return it
        }
        else
        {   // convert to radians
            var x = angle * Math.PI / 180;
            // Maclaurin series
            var sum = x;
            numerator = x;
            denom = 1;
            for (n = 3; n < 11; n += 2)
            {

                numerator = -numerator * x * x;
                denom = denom * (n - 1) * n;
                term = numerator / denom;
                sum += term;
            }
            sines[angle] = sum; // put in cache
            return sum; // and return
        }

    }
    // Try it out
    for (time = 1; time < 3; time++)
        for (d = 0; d < 10; d++)
            document.write(d + " " + sine(d) + "<br>");