Here's the short answer for any windsurfer looking for maximum speed: the fastest angle is broad reach, not straight downwind.
The fastest you can possibly go is by cutting across the wind at a precise angle of about 124 to 126 degrees away from the dead-downwind direction.
Why? This angle creates the most powerful "apparent wind," using your sail like an airplane's wing to generate a massive forward "pull" that's even stronger than the "push" of the wind itself .
If you've ever windsurfed, you know the ultimate goal is "planing"—that magic moment when the board stops plowing through the water and glides on top of it. It's all about speed.
A scientific paper built a complete mathematical model to solve this exact problem: what course and sail combination makes a windsurfer go the fastest?
The results are best shown in this graph from the study:

This graph shows speed (Y-axis) versus the surfer's course (X-axis)5. The course is measured in radians, where 0 is dead downwind, 1.57 is 90° across the wind, and 3.14 is straight upwind.
As you can see, the speeds near 0 (downwind) are the slowest. The speed dramatically increases as the surfer points the board more across the wind, hitting a peak velocity around 2.2 radians, which is about 126 degrees.
So why is a 126° angle faster than 0°? It’s because your sail isn't a parachute; it's a wing.
The model explains that your speed comes from two different forces:
This is all powered by "apparent wind"—the wind you feel on the board, which is a combination of the true wind and the "wind" you create just by moving. At a broad reach, you are optimizing this apparent wind to generate the maximum possible "pull" from your sail.
Looking back at that graph, you'll see different lines for sail sizes from 5.4 m² to 10.0 m². This reveals two key things:
For more information, you can read this paper by yourself:
http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-3-07/2007-03-14.pdf