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 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 ...

Whether you're tackling calculus problems or preparing for standardized tests, understanding these fundamental relationships will give you a significant advantage.Think of trigonometric identities as ...

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.

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 ...

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 ...

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, ...

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 ...

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.