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

For two millennia, mathematicians have shown the Pythagorean theorem to be true through geometry and algebra, never trigonometry.

An interval-valued Pythagorean hesitant fuzzy set (IVPHFS) not only can be regarded as the union of some interval-valued Pythagorean fuzzy sets but also represent the Pythagorean hesitant fuzzy ...

Normal fuzzy sets and Pythagorean cubic fuzzy sets are the best means to deal with fuzziness. Combining both of these structures in our current work, we establish the idea of Pythagorean cubic normal ...

Two teenagers made significant strides in Mathematics after proving the Pythagorean Theorem with trigonometry. Even better, the US youths provided nine solutions after presenting their previous ...

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.

Two New Orleans students who solved the Pythagorean theorem using trigonometry have had their discovery confirmed by the math community after their findings were published in the American ...

Louisiana students amazed the math community by proving the Pythagorean theorem using trigonometry, a feat considered impossible for 2,000 years.

In a new peer-reviewed study, Ne'Kiya Jackson and Calcea Johnson outlined 10 ways to solve the Pythagorean theorem using trigonometry, including a proof they discovered in high school.