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 ...

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This Chalk Talk highlights applications of a discrete Gaussian in various areas, following a 2025 paper by Chinta, Jorgenson, Karlsson, and Smajlović. The topics include heat diffusion, Bessel ...

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, both at ...

This is a preview. Log in through your library . Abstract Our main goal is to determine the general solution of the functional equation f1(xy) + f2(xy-1) = f3(x) + f4 ...

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 ...

The three sides of a right-angled triangle have special names. The hypotenuse (\(h\)) is the longest side. It is opposite the right angle. The opposite side (\(o\)) is opposite the angle in question ( ...

PERHAPS the best way of treating this work, which does not contain a single word of explanation, will be to give a summary of the tables contained in it. First we have proportional parts of all ...