Trigonometry is a branch of mathematics that focuses on the relationships between angles and sides of triangles. It involves the study of trigonometric functions, which are functions that relate angles to ratios of side lengths in a right triangle. Trigonometry explores the properties and behaviors of these functions, including sine, cosine, tangent, cosecant, secant, and cotangent, as well as their inverses. Trigonometry also includes the analysis of circular functions, trigonometric identities, the Law of Sines, the Law of Cosines, and applications of trigonometry in various fields such as physics, engineering, navigation, and geometry. It provides tools for measuring distances and angles, solving triangles, analyzing periodic phenomena, and modeling oscillatory motion.