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

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 ...

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, ...

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.

Two high school seniors have presented their proof of the Pythagorean theorem using trigonometry — which mathematicians thought to be impossible — at an American Mathematical Society meeting.

Ne’Kiya Jackson and Calcea Johnson have published a paper on a new way to prove the 2000-year-old Pythagorean theorem. Their work began in a high school math contest.

The standard Pythagorean theorem is used on an everyday basis in professions like architecture, building construction, navigation, spaceflight, computer sciences, and more. Calcea Johnson and Ne ...