What is secant formula?

What is secant formula?

Secant is one of the ratios that is derived from the cosine ratio. The secant formula helps in finding out the hypotenuse, the length, and the adjacent side of a right-angled triangle. The formula is sec ⁡θ = H/B.

What is the secant in math?

A secant line, also simply called a secant, is a line passing through two points of a curve. In geometry, a secant line commonly refers to a line that intersects a circle at exactly two points (Rhoad et al. 1984, p. 429).

What is sec trig function?

In a right angled triangle, the secant of an angle is: The length of the hypotenuse divided by the length of the adjacent side. The abbreviation is sec. sec(θ) = hypotenuse / adjacent. It is not commonly used, and is equal to 1/cosine.

Why is secant not defined?

Secant is the reciprocal of cosine, so the secant of any angle x for which cos x = 0 must be undefined, since it would have a denominator equal to 0. The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.

Why do we use secant method?

In numerical analysis, the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. The secant method can be thought of as a finite-difference approximation of Newton’s method.

What is secant on a calculator?

Description. Secant function. SEC(x) returns the secant of x. The argument x must be expressed in radians.

Why is it called secant line?

In geometry, a secant is a line that intersects a curve at a minimum of two distinct points. The word secant comes from the Latin word secare, meaning to cut. In the case of a circle, a secant intersects the circle at exactly two points.

What is sec equal to?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

Is sec opposite of Cos?

The secant ( sec ⁡ ) (\sec) (sec) The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

What is the range of Secant function?

The graph of the secant function looks like this: The domain of the function y=sec(x)=1cos(x) is again all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the function is y≤−1 or y≥1 .

What is secant ratio?

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

What is the difference between secant and cosine?

As nouns the difference between secant and cosine is that secant is (geometry) a straight line that intersects a curve at two or more points while cosine is (trigonometry) in a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse symbol: cos.

What is secant in math?

Secant is a term in mathematics derived from the Latin secare (“to cut”). It may refer to: 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.

What is the secant line of this function?

A secant line is a straight line joining two points on a function. (See below.) It is also equivalent to the average rate of change, or simply the slope between two points. The average rate of change of a function between two points and the slope between two points are the same thing.

Is secant the inverse of cosine?

The secant is the inverse of the cosine. The reciprocal of the abscissa of the endpoint of an arc of a unit circle centered at the origin of a Cartesian coordinate system , the arc being of length x and measured counterclockwise from the point (1, 0) if x is positive or clockwise if x is negative.

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