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Trigonometry is the branch of mathematics dealing with relationships between angles and the lengths of the corresponding sides of triangles. It derives from the Greek "trigonon" meaning triangle, and "metron" meaning measure. It encompasses numerous identities, equations, and functions such as sine, cosine, tangent, and their inverses. Trigonometry is fundamental to various scientific disciplines including physics, astronomy, navigation, engineering, computer science, and many others. In the context of applied mathematics within science and mathematics, trigonometry provides a systematic approach for analyzing and solving problems involving angles and lengths, particularly in triangles, but also in more complex geometric figures and abstract spaces.