Final answer:
Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of right-angled triangles. Trigonometric functions, such as sine, cosine, and tangent, are ratios of the sides of a right-angled triangle. These functions are essential for solving problems related to angles and distances.
Step-by-step explanation:
Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of right-angled triangles. Trigonometric functions, such as sine, cosine, and tangent, are mathematical expressions that relate the angles of a triangle to the lengths of its sides. These functions are ratios of the sides of a right-angled triangle, with sine being the ratio of the opposite side to the hypotenuse, cosine being the ratio of the adjacent side to the hypotenuse, and tangent being the ratio of the opposite side to the adjacent side.
Trigonometric functions are essential for solving problems related to angles and distances. They are widely used in various fields, including physics, engineering, and navigation. By applying trigonometric principles and formulas, you can calculate unknown angles or side lengths in a right-angled triangle or solve more complex trigonometric equations.