High school students may have just discovered an 'impossible' proof to the 2,000-year-old Pythagorean theorem

Apr 3, 2023
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Unfortunately, the mathematical typesetting for the trigonometric formula used in the text has been lost: the identity reads cos^2x + sin^2x=1 (that is, cosine squared and sine squared, rather than cosine and sine of the doubled angle, respectively).
 
Apr 3, 2023
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It's weird how logic - combined with numerous examples - tells us the Pythagorean theorem must be true for every right angle, and yet, at the same time, it's so hard to prove that it is.
 
Apr 4, 2023
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Simple HTML tags in a comment maybe won't make it through, but it should look like this: cos
Code:
<sup>
2
Code:
</sup>
x + sin
Code:
<sup>
2
Code:
</sup>
x = 1

I hate to rain on the parade, but this is just a trivial restatement of the theorem.
 
Apr 4, 2023
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Simple HTML tags in a comment maybe won't make it through, but it should look like this: cos
Code:
<sup>
2
Code:
</sup>
x + sin
Code:
<sup>
2
Code:
</sup>
x = 1

I hate to rain on the parade, but this is just a trivial restatement of the theorem.
Read more carefully - they said their proof works independently of the equation you quoted.
 
Apr 11, 2023
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They have used infinite series solution. I have a much simpler and better trigonometry proof without infinite series solution.