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What are the ancient mathematical and cultural knowledge related to sine and cosine theorem?
The knowledge of sine and cosine theorems involved in ancient mathematical culture is as follows:

1. Ancient Greek Mathematics: The early forms of sine and cosine theorems were discovered in ancient Greek mathematics. Pythagoras theorem, also known as Pythagoras triangle theorem, is one of the earliest sine and cosine theorems. This theorem points out that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of two right angles. This discovery is one of the important achievements of ancient Greek mathematics.

2. Indian mathematics: Indian mathematician Ayedada discovered an important formula related to sine and cosine theorem in the 6th century A.D., called Ayedada theorem. This theorem describes the relationship between cosine and three sides of an arbitrary triangle. It can be regarded as a generalized form of sine and cosine theorem.

3. China Mathematics: The ancient mathematicians in China also described some knowledge related to sine and cosine theorems in ancient books such as Classic of Parallel Computing. These documents contain some contents about trigonometric functions and trigonometric identities, and some contents can also be related to modern sine and cosine theorems.

In addition to the knowledge of ancient mathematical culture, sine and cosine theorems are also widely used in modern education. It is a basic tool to solve triangle related problems and is widely used in navigation, surveying, architecture and physics. It is a very important concept in mathematics education.