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Aug 29, 2011 at 3:48 history edited Robert Bryant CC BY-SA 3.0
fixed grammar, added a comment
Aug 28, 2011 at 19:38 comment added Michael Hardy That $c^2 = 0$ and $c^2 = (3/2)^2$ are the two opposite extreme values of the sum of squares of the three sines follows from the first constraint. That $c^2 = 2$ gives an exceptionally well-behaved situation is actually seen just be thinking about secondary-school-level trigonometry. It's striking how a little trigonometry problem leads straight into moderately exotic (by comparison to this sort of trigonometry) functions, but I suppose the same can be said of other things that we've all seen. I'm going to print out the two answers posted so far and think about them before saying much more.
Aug 28, 2011 at 14:36 history answered Robert Bryant CC BY-SA 3.0