Two high school students have proved the Pythagorean theorem in a way that one early 20th-century mathematician thought was impossible: using trigonometry. Calcea Johnson and Ne’Kiya Jackson ...

By using the Law of Sines, and avoiding the Pythagorean theorem’s trig identity (sin²α + cos²α = 1), Johnson and Jackson successfully proved the theorem without resorting to circular reasoning.

Two students who discovered a seemingly impossible proof to the Pythagorean theorem in ... say there are two ways to present ...

the students showed that the "proof is independent of the Pythagorean trig identity sin2x + cos2x = 1." In their published paper, the duo stated there are two ways to demonstrate trigonometry and ...

The Pythagorean theorem has been a cornerstone ... trigonometry were considered logically flawed. This is because trigonometric functions such as sine and cosine are built on relationships derived ...

Calcea Johnson and Ne'Kiya Jackson believe they can prove the Pythagorean Theorem using ... the proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1." RELATED VIDEO ...

The standard Pythagorean theorem is used on an everyday ... and we show that the proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1.” Used to calculate the side lengths ...

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article ...

Notably, the 2,000-year-old Pythagorean theorem states that the ... we show that the proof is independent of the Pythagorean trig identity sin2x+cos2x=1." However, the findings have not yet ...

Both had studied geometry and some trigonometry, and both told us math was not easy. What no one told them was there had been more than 300 documented proofs of the Pythagorean Theorem using ...