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.

Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core ...

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 ...

Discovered in the 5 th century B.C. by none other than Pythagoras himself, the Pythagorean Theorem (a 2 + b 2 = c 2) lies at the very foundations of trigonometry.That’s why it was particularly ...

The students said they can prove the theorem by using trigonometry and without ... Law of Sines — and we show that the proof is independent of the Pythagorean trig identity sin2x ...

Using a trigonometry rule called the Law of Sines, the students showed that the "proof is independent of the Pythagorean trig identity sin2x + cos2x = 1." In their published paper, ...

Calcea Johnson and Ne'Kiya Jackson believe they can prove the Pythagorean Theorem using trigonometry — and are being encouraged to submit their work for peer review Jason Hahn is a former Human ...

A high school teacher didn't expect a solution when she set a 2,000-year-old Pythagorean Theorem problem in front of her students. Then Calcea Johnson and Ne'Kiya Jackson stepped up to the challenge.

Calcea Johnson and Ne’Kiya Jackson, both 17, found a way to prove the Pythagorean theorem using trigonometry and without using circular logic. It’s a problem that has stumped mathematicians ...

Trigonometric identities are powerful tools for simplifying complex equations in math and science. Three core groups—reciprocal, quotient, and Pythagorean—form the foundation.