In fact this shows more: sin(10 deg) is of degree 3, which isn’t a power of 2, from which it follows that an angle of 30 degrees cannot be trisected with ruler and compass.
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Galois? Is that you???
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I was going to ask if there are any other rational theta between 0 & 90 which have rational sines, but, no: https://en.m.wikipedia.org/wiki/Niven%27s_theorem …
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Beautiful proof
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You are awesome ! Love this account
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May proof to sa 210.2 haha
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Thanks
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Would it in principle be possible to prove the power series expansion for sin(x) and cos(x) using the same same approach? If so, it would be a neat alternate method! And by the way, thanks for brightening up each morning with these posts. They are
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Brilliant!
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Interesting. See https://github.com/skaslev/papers/blob/master/iterating.pdf … for another place when the same cubic equation x^3 - 3x + 1 = 0 pop out.
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I can't download..
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