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Trigonometry, the branch of mathematics concerned with specific functions of angles. There are six functions commonly used in trigonometry: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). Learn more about trigonometry in this article.
trigonometric function, in mathematics, one of six functions (sine [sin], cosine [cos], tangent [tan], cotangent [cot], secant [sec], and cosecant [csc]) that represent ratios of sides of right triangles. These six trigonometric functions in relation to a right triangle are displayed in the figure.
secant, one of the six trigonometric functions, which, in a right triangle ABC, for an angle A, is sec A = length of hypotenuse / length of side adjacent angle A. (The other five trigonometric functions are sine [sin], cosine [cos], tangent [tan], cosecant [csc], and cotangent [cot].)
Trigonometry - Angles, Triangles, Sines: A somewhat more general concept of angle is required for trigonometry than for geometry. An angle A with vertex at V, the initial side of which is VP and the terminal side of which is VQ, is indicated in the figure by the solid circular arc.
TRIG meaning: trigonometry. What are the plural forms of check-in, passerby, and spoonful?
tangent, one of the six trigonometric functions, which, in a right triangle ABC, for an angle A, is tan A = length of side opposite angle A / length of side adjacent to angle A. The other five trigonometric functions are sine (sin), cosine (cos), secant (sec), cosecant (csc), and cotangent (cot).
sine, one of the six trigonometric functions, which, in a right triangle ABC, for an angle A, is sin A = length of side opposite angle A / length of hypotenuse. (The other five trigonometric functions are cosine [cos], tangent [tan], secant [sec], cosecant [csc], and cotangent [cot].)
Trigonometry - Angles, Triangles, Sines: In many applications of trigonometry the essential problem is the solution of triangles. If enough sides and angles are known, the remaining sides and angles as well as the area can be calculated, and the triangle is then said to be solved.
Spherical trigonometry involves the study of spherical triangles, which are formed by the intersection of three great circle arcs on the surface of a sphere. Spherical triangles were subject to intense study from antiquity because of their usefulness in navigation, cartography, and astronomy.
These functions are most conveniently defined in terms of the exponential function, with sinh z = 1 / 2 (e z − e −z) and cosh z = 1 / 2 (e z + e −z) and with the other hyperbolic trigonometric functions defined in a manner analogous to ordinary trigonometry.