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Trigonometry is a part of mathematics that studies triangles and the relationships in between their sides and the angles in between these sides. Trigonometry defines the trigonometric features, which identify those relationships and have applicability to cyclical phenomena, this kind of as waves. The subject progressed in the course of the third century BC as a branch of geometry used extensively for astronomical scientific studies. It is also the basis of the useful art of surveying.

Trigonometry basics are often taught in school possibly as a individual study course or as component of a pre-calculus study course. The trigonometric capabilities are pervasive in areas of pure mathematics and applied arithmetic such as Fourier assessment and the wave equation, which are in change important to many branches of science and technological innovation.

Spherical trigonometry research triangles on spheres, surfaces of constant optimistic curvature, in elliptic geometry. It is basic to astronomy and navigation. Trigonometry on surfaces of unfavorable curvature is part of Hyperbolic geometry.

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