Set the argument in sec(x) sec (x) equal to π 2 +πn π 2 + π n to find where the expression is undefined. x = π 2 +πn x = π 2 + π n, for any integer n n. The domain is all values of x x that …

正割是 三角函数 的一种。 在定义域为 (0, π/2) 时是在直角三角形某个锐角的斜边与邻边的比，用sec表示。 正割是 余弦 的倒数，即secθ=1/cosθ，正割的函数图像为 偶函数，且为 周期函数 [1]. 正割的数学符号为sec出自英文secant。 该符号最早由数学家吉拉德·笛沙格在他的著作《三角学》中所用。 设是平面直角坐标系中的一个角，且 ，点 是角的终边上一点， 是P到原点O的距离，则 。 图像中给出了用弧度度量的某个公共角。 逆时针方向的度量是正角而顺时针的度量是负角 …

There are six trigonometric functions sin θ, cos θ, tan θ, cot θ, tan θ, cosec θ, and sec θ. The domain and range of trigonometric functions are given by the angle θ and the resultant value, respectively. the range is the set of all or some real numbers.

2017年11月25日 · What is the domain and range of y = sec x? y = secx or y = 1 cosx ∴ secx is undefined at cosx = 0. cos(nπ+ π 2) = 0 ∴ x ≠ (nπ+ π 2) Thus, the domain of the. secant function is the set of real numbers excluding. x = (nπ+ π 2) i.e Domain: x ∈ R ∣ x ≠ (nπ+ π 2) Range: cosine function only takes values that are between −1 and. +1.

2015年2月19日 · secx is basically nothing more than 1/cosx. Therefore, secx would simply be undefined wherever cosx = 0. Those points are at pi/2 and (3pi)/2. Therefore, the domain is simply all reals except those two. Hope that helped :)

2025年2月27日 · Trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec), are mathematical functions that relate angles to the ratios of the sides of a right triangle. These functions are defined for all real numbers and have specific domains and ranges. What is Domain and Range?

The secant function or sec function can be defined as the ratio of the length of the hypotenuse to that of the length of the base in a right-angled triangle. It is the reciprocal of cosine function and hence, is also written as sec x = 1 / cos x.

We find the domain of (g(x))¡1, a composition, by first looking at the domain of its outside function, x¡1: the domain of x¡1 is all real numbers except 0. This tells us that, presuming g(x) is defined everywhere, (g(x))¡1 is defined at all real numbers except those x for which g(x) = 0.

2024年8月28日 · In mathematics, functions play a crucial role in representing relationships between variables. The domain of a function defines the set of input values for which the function is defined and produces a valid output. For the secant function, the independent variable is x, which represents the angle measure.

So, the domain of s e c (x) is R − {(2 n + 1) π 2: n ∈ Z}. The range of s e c (x) is the set of all real numbers y such that y ≤ − 1 or y ≥ 1. So, the range of s e c (x) is (− ∞, − 1] ∪ [1, ∞). The period of s e c (x) is the length of one complete cycle of the function.