Trigonometry

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is a fundamental part of geometry and has applications in various scientific fields such as physics, engineering, and astronomy.

Basic concepts

The three main trigonometric functions are sine (sin), cosine (cos), and tangent (tan). These functions relate the angles of a triangle to the lengths of its sides. The sine of an angle is the ratio of the length of the side opposite the angle to the hypotenuse. The cosine of an angle is the ratio of the length of the side adjacent to the angle to the hypotenuse. The tangent of an angle is the ratio of the length of the side opposite the angle to the side adjacent to the angle.

Applications

Trigonometry is used in a wide range of real-world applications. In physics, it is essential for analyzing the motion of objects and understanding waves. In engineering, trigonometry is used in fields such as architecture, civil engineering, and mechanical engineering to solve problems involving angles and distances. In astronomy, trigonometry is used to calculate distances between stars and planets.

Overall, trigonometry plays a crucial role in various disciplines and provides a foundation for understanding the relationships between angles and sides in geometric figures.