Most trigonometry students look at triangles on a flat surface. However, people from ancient astronomers to modern navigators calculated the arc lengths and angles of triangles on a sphere. They used ...

Most trigonometry students look at triangles on a flat surface. However, people from ancient astronomers to modern navigators calculated the arc lengths and angles of triangles on a sphere. They used ...

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 ...

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

Now, a new article not only proves that theorem—which relies on the Law of Sines—but puts forth four more trigonometric proofs, as well as five additional proofs outside of trigonometry.