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  1. Trigonometry | Definition, Formulas, Ratios, & Identities | Britannica

    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 …

  2. Trigonometry - Angles, Triangles, Sines | Britannica

    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 …

  3. Trigonometry - Angles, Triangles, Sines | Britannica

    Oct 2, 2025 · Trigonometric functions of a real variable x are defined by means of the trigonometric functions of an angle. For example, sin x in which x is a real number is defined to …

  4. Trigonometric function | Definition, Formula, & Concepts | Britannica

    Nov 28, 2025 · A trigonometric function is one of the six functions (sine, cosine, tangent, cotangent, secant, and cosecant) that represents ratios of sides of right triangles.

  5. Cosecant | Definition, Formulas, & Facts | Britannica

    trigonometric function, in mathematics, one of the six functions (sine [sin], cosine [cos], tangent [tan], cotangent [cot], secant [sec], and cosecant [csc]) that represent ratios of sides of right …

  6. Cosine | Definition, Formulas, & Facts | Britannica

    trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry.

  7. Trigonometry - Angles, Triangles, Sines | Britannica

    Oct 2, 2025 · These trigonometric or Fourier series have found numerous applications in almost every branch of science, from optics and acoustics to radio transmission and earthquake …

  8. Cotangent | Definition, Formulas, & Facts | Britannica

    Nov 14, 2025 · In trigonometry, the tangent function (tan) of an angle in a right triangle is the ratio of the opposite side to the adjacent side.

  9. Secant | Definition, Formulas, & Facts | Britannica

    A number of algebraic identities involving the tangent function are useful in trigonometry, particularly for simplifying expressions, solving equations, and analyzing angle relationships.

  10. Tangent | Definition, Formulas, & Facts | Britannica

    Nov 20, 2025 · trigonometric function, in mathematics, one of the six functions (sine [sin], cosine [cos], tangent [tan], cotangent [cot], secant [sec], and cosecant [csc]) that represent ratios of …