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Mean value theorem, that every secant of the graph of a smooth function has a parallel tangent line; Quadrisecant, a line that intersects four points of a curve (usually a space curve) Secant plane, the three-dimensional equivalent of a secant line; Secant variety, the union of secant lines and tangent lines to a given projective variety
The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used.
A standard method of evaluating the secant integral presented in various references involves multiplying the numerator and denominator by sec θ + tan θ and then using the substitution u = sec θ + tan θ. This substitution can be obtained from the derivatives of secant and tangent added together, which have secant as a common factor. [6]
The root of this linear function, that is the value of x such that y = 0 is ... In the graph, the x intercept of the secant line seems to be a good approximation of ...
a secant line, in geometry; the secant variety, in algebraic geometry; secant (trigonometry) (Latin: secans), the multiplicative inverse (or reciprocal) trigonometric function of the cosine; the secant method, a root-finding algorithm in numerical analysis, based on secant lines to graphs of functions; a secant ogive in nose cone design
The word secant comes from Latin for "to cut", and a general secant line "cuts" a circle, intersecting it twice; this concept dates to antiquity and can be found in Book 3 of Euclid's Elements, as used e.g. in the intersecting secants theorem. 18th century sources in Latin called any non-tangential line segment external to a circle with one endpoint on the circumference a secans exterior.
The Gudermannian function is a sigmoid function, and as such is sometimes used as an activation function in machine learning. The (scaled and shifted) Gudermannian function is the cumulative distribution function of the hyperbolic secant distribution .
2.2 The unit circle and common trigonometric values. ... 3.1 Graphs of trigonometric functions. ... secant (sec), and cotangent (cot), ...