trigonometric

简明释义

英[ˌtrɪɡənəˈmetrɪk]美[ˌtrɪɡənəˈmetrɪk]

adj. [数] 三角法的；三角学的

英英释义

单词用法

同义词

反义词

例句

1.A method for extracting the characteristics of one dimensional curves by trigonometric fitting is now proposed.

介绍了一种用三角形拟合的措施提取一维曲线的特征进行模式识别的新方法。

2.But the traditional trigonometric net control can not obtain high precise deformation observation.

然而传统的三角网控制方法已无法满足高精度的变形观测需要。

3.That would be a nice viewport for trigonometric graphics like SINS or cosines.

这对于三角图形(例如sin和cosine)来说是很好的一个viewport。

4.In this paper by using the property of Fourier series a compound series consisting of trigonometric series and power series is established.

摘要利用由三角级数和幂级数复合构成的函数项级数的有关性质，得到了一类变系数非齐次调和方程边值问题的级数解。

5.Inverse trigonometric (asin, acos, atan, atan2, acot, asec, acsc).

反三角函数(asin、acos、atan、atan 2、acot、asec、acsc)。

6.When completed river crossing leveling by means of trigonometric leveling with distance measurement, there are two types of observed values.

采用测距三角高程法进行跨河水准测量，可以不量取仪器高，但观测值中有两类不同的观测量。

7.Each kind of wave may use the trigonometric function equation to express.

各种波形曲线均可以用三角函数方程式来表示。

8.The effect of atmospheric refraction error on observed value is a very thorny problem in EDM trigonometric leveling.

在光电测距三角高程测量中，大气折光对观测量的影响是一个非常棘手的问题。

9.In geometry, we often use trigonometric 三角函数的 functions to solve for unknown angles.

在几何学中，我们经常使用三角函数的函数来求解未知角度。

10.The trigonometric 三角函数的 ratios like sine and cosine are essential in physics.

像正弦和余弦这样的三角函数的比率在物理学中是必不可少的。

11.To calculate the height of a building, you can use trigonometric 三角函数的 functions based on the angle of elevation.

要计算建筑物的高度，可以根据仰角使用三角函数的函数。

12.Many engineering problems require an understanding of trigonometric 三角函数的 principles.

许多工程问题需要理解三角函数的原理。

13.The unit circle is a fundamental concept in trigonometric 三角函数的 analysis.

单位圆是三角函数的分析中的一个基本概念。

作文

In the realm of mathematics, particularly in geometry and calculus, one cannot overlook the significance of trigonometric functions. These functions play a crucial role in understanding the relationships between the angles and sides of triangles. The term trigonometric refers to the study of triangles, derived from the Greek words 'trigonon' meaning triangle and 'metron' meaning measure. The most commonly used trigonometric functions include sine, cosine, and tangent, which are essential for solving various mathematical problems.Understanding trigonometric functions is not just limited to theoretical mathematics; they have practical applications in various fields such as physics, engineering, and even computer graphics. For instance, in physics, trigonometric functions are used to analyze wave patterns, sound waves, and light waves. Engineers utilize these functions to create models that predict the behavior of structures under different forces. Moreover, computer graphics rely heavily on trigonometric calculations to render images and animations accurately.One of the fundamental principles of trigonometric functions is the unit circle, which provides a visual representation of these functions. By defining angles in terms of their coordinates on the unit circle, we can derive the values of sine and cosine for any angle. This visualization helps students grasp the concept of periodicity, as both sine and cosine functions repeat their values at regular intervals, known as periods. The periodic nature of trigonometric functions is vital in various applications, such as signal processing, where understanding waveforms is essential.Furthermore, the relationships between different trigonometric functions can be expressed through identities, such as the Pythagorean identity, which states that sin²(θ) + cos²(θ) = 1. These identities allow mathematicians and scientists to simplify complex equations and solve problems more efficiently. Mastering these identities is crucial for anyone pursuing advanced studies in mathematics or related fields.In addition to their mathematical importance, trigonometric functions also have cultural significance. They have been studied for centuries, dating back to ancient civilizations such as the Greeks and Indians, who used trigonometric concepts for astronomical observations and navigation. This historical context enriches our understanding of how mathematics has evolved and its impact on our daily lives.To conclude, the study of trigonometric functions is an integral part of mathematics that extends beyond the classroom. Whether it’s in engineering, physics, or computer science, the applications of trigonometric principles are vast and varied. As we continue to explore the world around us, a solid grasp of trigonometric functions will undoubtedly enhance our problem-solving skills and deepen our appreciation for the beauty of mathematics. Thus, embracing the study of trigonometric functions is not merely an academic exercise but a journey into the heart of mathematical understanding and its real-world implications.

在数学的领域，特别是在几何和微积分中，三角函数的重要性不容忽视。这些函数在理解三角形的角度和边之间的关系方面起着至关重要的作用。术语三角函数源于希腊语中的“trigonon”，意为三角形，“metron”意为测量。最常用的三角函数包括正弦、余弦和正切，这些都是解决各种数学问题的基本工具。理解三角函数不仅限于理论数学；它们在物理学、工程学甚至计算机图形学等多个领域都有实际应用。例如，在物理学中，三角函数用于分析波动模式、声波和光波。工程师利用这些函数创建模型，以预测结构在不同力下的行为。此外，计算机图形学在精确渲染图像和动画时也严重依赖三角函数的计算。三角函数的一个基本原理是单位圆，它提供了这些函数的可视化表示。通过根据单位圆上的坐标定义角度，我们可以推导出任意角度的正弦和余弦值。这种可视化帮助学生理解周期性概念，因为正弦和余弦函数在规律的间隔内重复其值，称为周期。三角函数的周期性在信号处理等各种应用中至关重要，在这些应用中，理解波形是必不可少的。此外，不同三角函数之间的关系可以通过恒等式表达，例如勾股恒等式，指出sin²(θ) + cos²(θ) = 1。这些恒等式使数学家和科学家能够简化复杂的方程，更有效地解决问题。掌握这些恒等式对任何追求数学或相关领域高深研究的人来说都是至关重要的。除了数学的重要性外，三角函数在文化上也具有重要意义。几个世纪以来，古代文明如希腊人和印度人就研究三角函数的概念，用于天文观测和导航。这种历史背景丰富了我们对数学如何发展的理解以及其对我们日常生活的影响。总之，三角函数的研究是数学的一个重要组成部分，超越了课堂的界限。无论是在工程、物理学还是计算机科学中，三角函数原理的应用都广泛而多样。随着我们继续探索周围的世界，扎实掌握三角函数将无疑增强我们的解决问题的能力，加深我们对数学之美的欣赏。因此，拥抱三角函数的学习不仅仅是学术练习，而是进入数学理解及其现实世界影响的核心旅程。