Final answer:
Trigonometry is a branch of mathematics that deals with the relationship between the angles and sides of right-angled triangles. It is based on trigonometric ratios, which are ratios of the lengths of different sides of a triangle. Trigonometry has many applications in real-world situations and is used in fields like physics, engineering, and navigation.
Step-by-step explanation:
Trigonometry is a branch of mathematics that deals with the relationship between the angles and sides of right-angled triangles. It is based on trigonometric ratios, which are ratios of the lengths of different sides of a triangle. The main trigonometric ratios are sine, cosine, and tangent, and they can be used to solve problems involving angles and sides of triangles.
For example, the sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the hypotenuse. The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. And the tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side.
Trigonometry has many applications in real-world situations, such as measuring the height of a building using angle measurements and distances. It is also used in fields like physics, engineering, and navigation.