You probably have an intuitive idea of what a circle is: the shape of a basketball hoop, a wheel or a quarter. You may even remember from high school that the radius is any straight line that starts ...

Trigonometry is the branch of math that studies triangles, with a particular focus on the relationships between angles and the lengths of corresponding sides. Interestingly enough, the trigonometric ...

Mastering degree-radian conversions is crucial for trigonometry and calculus. Radians simplify mathematical formulas, especially in calculus where trigonometric function derivatives rely on radian ...

We study strictly positive definite functions on the unit circle in the Euclidean space of dimension two. We develop several conditions pertaining to the determination of such functions. The major ...

Understanding how to convert between degrees and radians is one of the most crucial skills for anyone studying trigonometry, calculus, or advanced mathematics. Whether you're a beginner student ...

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

In a recent paper, R. Morton and A. Krall introduced a new notion of orthogonality of polynomials on the real line in which a sequence of Chebyshev-type polynomials was shown to be orthogonal with ...