In fact, there have been hundreds of proofs of the Pythagoras’ groundbreaking ... and avoiding the Pythagorean theorem’s trig identity (sin²α + cos²α = 1), Johnson and Jackson successfully ...

"In fact, in the book containing the largest known collection of proofs (The Pythagorean Proposition ... proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1." ...

If verified, Johnson and Jackson’s proof would contradict mathematician ... Jackson and Johnson said a trigonometric identity called the law of sines didn’t depend on the Pythagorean theorem ...

"We present a new proof of Pythagoras's Theorem which is ... and we show that the proof is independent of the Pythagorean trig identity sin2x+cos2x=1." However, the findings have not yet been ...

While the proof still needs to be scrutinized by mathematicians ... we show that the proof is independent of the Pythagorean trig identity sin2x+cos2x=1." In other words, the high school seniors ...

In fact, in the book containing the largest known collection of proofs (The Pythagorean Proposition ... proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1.” ...

“In the 2,000 years since trigonometry was discovered ... the Law of Sines — and we show that the proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1.” ...

We present a new proof of Pythagoras’s Theorem which ... and we show that the proof is independent of the Pythagorean trig identity sin2x+cos2x=1.” When they returned to school and their ...

Mathematicians have long argued the theorem, which uses trigonometry - the ... of Sines - and we show that the proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1." ...