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, ...

US Teens Discover New Proof For The Pythagoras' Theorem, Stun Mathematicians The students said they can prove the theorem by using trigonometry and without circular reasoning.