Trigonometry is a branch of mathematics which deals with triangles, particularly triangles in a plane where one angle of the triangle is 90 degrees (right triangles).
Triangles on a sphere are also studied, in spherical trigonometry.
Trigonometry specifically deals with the relationships between the sides and the angles of triangles, that is, the trigonometric functions, and with calculations based on these functions.
Trigonometry has important applications in many branches of pure mathematics as well as of applied mathematics and, consequently, much of science and precalculus.
For example, the robotic arm on the International Space Station is operated by controlling the angles of its joints.
Calculating the final position of the astronaut at the end of the arm requires repeated use of the trigonometric functions of those angles.
Triangle A triangle is one of the basic shapes of geometry: a polygon with three vertices and three sides which are straight line segments. Any three ... >
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Angle An angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. Angles provide a means of expressing the ... >
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Antiprism An n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of ... >
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Hyperbolic geometry In mathematics, hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry is rejected. The parallel ... >
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Euclidean geometry Euclidean geometry is a mathematical well-known system attributed to the Greek mathematician Euclid of Alexandria. Euclid's text Elements was the ... >
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Ellipse In mathematics, an ellipse is a plane algebraic curve where the sum of the distances from any point on the curve to two fixed points is constant. An ... >
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Probability theory Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for ... >
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Algebraic geometry Algebraic geometry is a branch of mathematics which, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the ... >
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Tessellation A tessellation or tiling of the plane is a collection of plane figures that fill the plane with no overlaps and no gaps. One may also speak of ... >
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