cosec

简明释义

英[/ˈkoʊsɛk/]美[/ˈkoʊsɛk/]

n. 余割（等于 cosecant）

英英释义

单词用法

同义词

反义词

例句

1.With the simulation of cylindrical array, the patterns of flat top beam and cosec beam are gained. Example simulation are shown to illustrate the effectiveness of the algorithm.

通过圆柱形阵列的仿真计算得到满足设计要求的三维平顶波束和余割波束方向图，证明这种算法的有效性。

2.With the simulation of cylindrical array, the patterns of flat top beam and cosec beam are gained. Example simulation are shown to illustrate the effectiveness of the algorithm.

通过圆柱形阵列的仿真计算得到满足设计要求的三维平顶波束和余割波束方向图，证明这种算法的有效性。

3.In trigonometry, cosec x can be calculated as 1/sin x.

在三角学中，cosec x 可以计算为 1/sin x。

4.The value of cosec θ is the reciprocal of the sine function.

cosec θ 的值是正弦函数的倒数。

5.If sin θ = 0.5, then cosec θ = 2.

如果 sin θ = 0.5，那么 cosec θ = 2。

6.To find the cosec of an angle, you first need to determine its sine.

要找到一个角的cosec，你首先需要确定它的正弦值。

7.The formula for cosec in a right triangle involves the length of the hypotenuse and the opposite side.

在直角三角形中，cosec 的公式涉及斜边和对边的长度。

作文

In the realm of mathematics, particularly in trigonometry, we often encounter various functions that play a crucial role in solving problems related to angles and triangles. One such function is the cosecant, commonly abbreviated as cosec. The cosec function is defined as the reciprocal of the sine function. This means that for any given angle θ, the cosec of θ can be expressed mathematically as cosec(θ) = 1/sin(θ). Understanding this relationship is fundamental for students delving into trigonometric identities and equations.The cosec function has several important properties. Firstly, it is undefined for angles where the sine value is zero, such as at 0°, 180°, and 360°. This characteristic is essential to note when working with trigonometric functions, as it indicates points where the function does not exist. Moreover, the cosec function is periodic, repeating its values in regular intervals, specifically every 360°. This periodicity allows us to predict the behavior of the function over different ranges of angles.Graphing the cosec function reveals its unique characteristics. The graph consists of branches that approach infinity as they near the angles where sine equals zero. Between these branches, the graph will exhibit a wave-like pattern, similar to the sine function, but reflected vertically due to its reciprocal nature. These visual representations help students better grasp the behavior of the cosec function and its relationship with other trigonometric functions.Furthermore, the cosec function is frequently used in real-world applications, such as physics and engineering. For instance, in analyzing waves and oscillations, engineers utilize the cosec function to model certain behaviors of periodic systems. Additionally, in navigation and astronomy, the cosec function helps in calculating angles of elevation and depression, which are vital for precise measurements and positioning.In conclusion, the cosec function is an integral part of trigonometry that offers valuable insights into the relationships between angles and sides of triangles. By understanding its definition as the reciprocal of the sine function, along with its properties and applications, students can develop a deeper appreciation for the importance of trigonometric functions in both theoretical and practical contexts. Mastery of the cosec function not only enhances one's mathematical skills but also opens doors to various fields of study and professional endeavors.

在数学领域，特别是在三角学中，我们经常遇到各种函数，这些函数在解决与角度和三角形相关的问题时发挥着至关重要的作用。其中一个函数是余弦函数，通常缩写为cosec。cosec函数定义为正弦函数的倒数。这意味着对于任何给定的角θ，cosec的θ可以用数学表达为cosec(θ) = 1/sin(θ)。理解这种关系对于深入研究三角恒等式和方程的学生来说是基础。cosec函数有几个重要的特性。首先，在正弦值为零的角度（如0°、180°和360°）下，它是未定义的。这个特性在处理三角函数时非常重要，因为它指示了函数不存在的点。此外，cosec函数是周期性的，每360°重复其值。这种周期性使我们能够预测函数在不同角度范围内的行为。绘制cosec函数的图形揭示了其独特的特性。图形由接近无穷大的分支组成，这些分支在正弦值为零的角度附近趋近于无穷大。在这些分支之间，图形将展现出类似于正弦函数的波浪模式，但由于其倒数性质而垂直反射。这些视觉表示帮助学生更好地理解cosec函数的行为及其与其他三角函数的关系。此外，cosec函数在现实世界的应用中也经常被使用，例如物理学和工程学。例如，在分析波和振动时，工程师利用cosec函数来建模某些周期系统的行为。此外，在导航和天文学中，cosec函数有助于计算仰角和俯角，这对于精确测量和定位至关重要。总之，cosec函数是三角学中的一个重要部分，它提供了关于三角形角度和边之间关系的宝贵见解。通过理解其作为正弦函数倒数的定义，以及其特性和应用，学生可以更深入地欣赏三角函数在理论和实际背景中的重要性。掌握cosec函数不仅增强了个人的数学技能，还为各种研究领域和专业事业打开了大门。