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Actually cos(45 deg) = root 2/2 = approx. 0.707.
Coincidentally, sin (45 deg) also = root2/2.


Sooooo... if i read this all correctly.... as long as i dont have a 707 lb crew member sitting atop my mast, and an unladen african swallow doesn't drop a coconut on my spinnaker, i should be ok with my setup?