secant function что это

secant function

Смотреть что такое «secant function» в других словарях:

Secant — Secant, n. [Cf. F. s[ e]cante. See , a.] 1. (Geom.) A line that cuts another; especially, a straight line cutting a curve in two or more points. [1913 Webster] 2. (Trig.) A right line drawn from the center of a circle through one end of a … The Collaborative International Dictionary of English

Secant — is a term in mathematics. It comes from the Latin secare (to cut). It can refer to: * a secant line, in geometry * the trigonometric function called secant * the secant method, a root finding algorithm in numerical analysismathdab … Wikipedia

Function — Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of his public … The Collaborative International Dictionary of English

Chapman function — A Chapman function describes the integration of atmospheric absorption along a slant path on a spherical earth, relative to the vertical case. It applies for any quantity with a concentration decreasing exponentially with increasing altitude. To… … Wikipedia

Algebraic function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

Arbitrary function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

Carnot’s function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

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secant function

1 secant function

2 secant function

3 secant function

См. также в других словарях:

Secant — Secant, n. [Cf. F. s[ e]cante. See , a.] 1. (Geom.) A line that cuts another; especially, a straight line cutting a curve in two or more points. [1913 Webster] 2. (Trig.) A right line drawn from the center of a circle through one end of a … The Collaborative International Dictionary of English

Secant — is a term in mathematics. It comes from the Latin secare (to cut). It can refer to: * a secant line, in geometry * the trigonometric function called secant * the secant method, a root finding algorithm in numerical analysismathdab … Wikipedia

Function — Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of his public … The Collaborative International Dictionary of English

Chapman function — A Chapman function describes the integration of atmospheric absorption along a slant path on a spherical earth, relative to the vertical case. It applies for any quantity with a concentration decreasing exponentially with increasing altitude. To… … Wikipedia

Algebraic function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

Arbitrary function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

Carnot’s function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

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secant function

Смотреть что такое «secant function» в других словарях:

Secant — Secant, n. [Cf. F. s[ e]cante. See , a.] 1. (Geom.) A line that cuts another; especially, a straight line cutting a curve in two or more points. [1913 Webster] 2. (Trig.) A right line drawn from the center of a circle through one end of a … The Collaborative International Dictionary of English

Secant — is a term in mathematics. It comes from the Latin secare (to cut). It can refer to: * a secant line, in geometry * the trigonometric function called secant * the secant method, a root finding algorithm in numerical analysismathdab … Wikipedia

Function — Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of his public … The Collaborative International Dictionary of English

Chapman function — A Chapman function describes the integration of atmospheric absorption along a slant path on a spherical earth, relative to the vertical case. It applies for any quantity with a concentration decreasing exponentially with increasing altitude. To… … Wikipedia

Algebraic function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

Arbitrary function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

Carnot’s function — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. .] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… … The Collaborative International Dictionary of English

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In a right triangle, the secant of an angle is the length of the hypotenuse divided by the length of the adjacent side. In a formula, it is abbreviated to just ‘sec’.

Of the six possible trigonometric functions, secant, cotangent, and cosecant, are rarely used. In fact, most calculators have no button for them, and software function libraries do not include them.

They can be easily replaced with derivations of the more common three: sin, cos and tan.
Secant can be derived as the reciprocal of cosine:

For every trigonometry function such as sec, there is an inverse function that works in reverse. These inverse functions have the same name but with ‘arc’ in front. So the inverse of sec is arcsec etc. When we see «arcsec A», we interpret it as «the angle whose secant is A».

Large and negative angles

In a right triangle, the two variable angles are always less than 90° (See Interior angles of a triangle). But we can in fact find the secant of any angle, no matter how large, and also the secant of negative angles. For more on this see Functions of large and negative angles.

Graph of the secant function

Because the secant function is the reciprocal of the cosine function, it goes to infinity whenever the cosine function is zero.

The derivative of sec(x)

In calculus, the derivative of sec(x) is sec(x)tan(x). This means that at any value of x, the rate of change or slope of sec(x) is sec(x)tan(x).

For more on this see Derivatives of trigonometric functions together with the derivatives of other trig functions. See also the Calculus Table of Contents.

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СЕКАНС

Смотреть что такое «СЕКАНС» в других словарях:

СЕКАНС — (лат., от secare сечь, рассекать). В тригонометрии: радиус круга, проведенный из центра круга до конца касательной черты, за окружность. Словарь иностранных слов, вошедших в состав русского языка. Чудинов А.Н., 1910. СЕКАНС лат. secans, от secare … Словарь иностранных слов русского языка

СЕКАНС — (лат. secans секущая) одна из тригонометрических функций … Большой Энциклопедический словарь

СЕКАНС — [сэ], секанса, муж. (латин secans, букв. рассекающий) (мат.). Тригонометрическая функция угла, в прямоугольном треугольнике равная отношению гипотенузы к катету, прилежащему к углу. Толковый словарь Ушакова. Д.Н. Ушаков. 1935 1940 … Толковый словарь Ушакова

СЕКАНС — муж. тригоном. луч (радиус) круга, протянутый до конца касательной черты, за окружность. Толковый словарь Даля. В.И. Даль. 1863 1866 … Толковый словарь Даля

секанс — сущ., кол во синонимов: 1 • функция (49) Словарь синонимов ASIS. В.Н. Тришин. 2013 … Словарь синонимов

секанс — секанс. Произносится [сэканс] … Словарь трудностей произношения и ударения в современном русском языке

Секанс — Рис. 1 Графики тригонометрических функций: синуса, косинуса, тангенса, секанса, косеканса, котангенса Тригонометрические функции вид элементарных функций. Обычно к ним относят синус (sin x), косинус (cos x), тангенс (tg x), котангенс (ctg x),… … Википедия

секанс — а; м. [от лат. secans секущий] Матем. Одна из тригонометрических функций угла, в прямоугольном треугольнике равная отношению гипотенузы к катету, прилежащему к данному углу. * * * секанс (лат. secans секущая), одна из тригонометрических функций … Энциклопедический словарь

Секанс — [лат. secans, здесь секущая (прямая); от seco режу, рассекаю], одна из тригонометрических функций (См. Тригонометрические функции); обозначение sec. В прямоугольном треугольнике С. острого угла называют отношение гипотенузы к катету,… … Большая советская энциклопедия

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