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 ( ...

The tangent is defined as the single point where a straight line meets a curved surface. The tangent can be determined with a collection of mathematical formulas but is most commonly determined by ...

Excel has built-in functions for sine and cosine, the two core trigonometric functions, and for hyperbolic sine and hyperbolic cosine, their hyperbolic counterparts. It also has built-in functions for ...

This circle has the centre at the origin and a radius of 1 unit. The point P can move around the circumference of the circle. At point P the \(x\)-coordinate is \(\cos{\theta}\) and the ...

Trigonometry is the branch of mathematics that explains the relationship between sides and angles of a triangle. In a right angled triangle the three sides are perpendicular, base and hypotenuse, as ...

Master trigonometric equations for Olympiad success! In this tutorial, we’ll walk you through essential techniques to solve challenging trigonometric problems. Perfect for students preparing for math ...

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article not ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the ...