So,
the unit circle is pretty handy, but there are some angles I've always wondered about and don't have the skillz to figure out.
1. The Pythagorean formula (x2 + y2 = z2) has solutions in natural numbers when x and y and z are multiples of 3, 4 and 5 (9 + 16 = 25). As typically expressed in radians (in terms of π), what are the angles of this
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I have posed these questions to my very own live-in mathematician. He drew some diagrams on his yellow legal pad and told me that sine gives you height in the unit circle and that it's an infinite sum. He says he doesn't know what the angles are in terms of pi, though. He's scribbling some more. I'll let you know if I can understand any of the results.
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