Trigonometry ... side in a right-angled triangle when another side and an angle are known. An understanding of the three trigonometric ratios and how to change the subject of a formula is essential.

Pythagoras is a star of trigonometry for his alleged discovery of the Pythagorean theorem, which states that "in a right-angled triangle the square of the hypotenuse is equal [to the sum of] the ...

Our new research, published in Historia Mathematica, shows that the Babylonians were able to construct a trigonometric table using only the exact ratios of sides of a right-angled triangle.

The famous theorem is summarised as a 2 +b 2 =c 2, which helps in finding the length of a right-angled triangle ... using algebra and geometry but using trigonometry was long believed impossible.

The ancient Babylonians understood key concepts in geometry, including how to make precise right-angled triangles. They used this mathematical know-how to divide up farmland – more than 1000 ...