trigonometry

简明释义

[ˌtrɪɡəˈnɒmətri][ˌtrɪɡəˈnɑːmətri]

n. 三角学

复 数 t r i g o n o m e t r i e s

英英释义

A branch of mathematics dealing with the relationships between the angles and sides of triangles.

一门研究三角形的角和边之间关系的数学分支。

It involves the study of trigonometric functions, such as sine, cosine, and tangent, which are used to model periodic phenomena.

它涉及对三角函数的研究,如正弦、余弦和正切,这些函数用于建模周期性现象。

单词用法

trigonometric functions

三角函数

trigonometric identities

三角恒等式

inverse trigonometric functions

反三角函数

solve a trigonometry problem

解决一个三角学问题

apply trigonometry to real-world situations

将三角学应用于现实情况

understand trigonometry concepts

理解三角学概念

同义词

triangle mathematics

三角数学

In trigonometry, we study the relationships between the angles and sides of triangles.

在三角学中,我们研究三角形的角和边之间的关系。

trig

三角函数

Trig is often used in physics to solve problems involving waves and oscillations.

三角函数常用于物理中解决涉及波动和振荡的问题。

反义词

arithmetic

算术

Arithmetic is the foundation of all mathematics.

算术是所有数学的基础。

algebra

代数

Algebra is often used to solve equations.

代数通常用于解方程。

例句

1.If you want to be a draftsman a machinist a molder or a patternmaker you'll need algebra and geometry and even trigonometry.

如果你想成为手工艺人、纫工、型工或制模工,你需要代数和几何,甚至三角。

2.Until about 1450 spherical trigonometry consisted of loose rules based on Greek, Hindu and Arabic versions.

差不多直到1450年球面三角的内容由一些不严谨的法则组成,这此法则的基础是希腊、印度和阿拉伯译本。

3.Arithmetic, algebra, geometry, and trigonometry are branches of mathematics.

算术、代数、几何和三角是数学的分科。

4.Although these calculations are nothing more than basic trigonometry and algebra, the formulas are very complicated.

虽然这些计算无非是最基本的三角形和代数计算,但是所使用的公式非常复杂。

5.Topics include the physical laws of fluids and the application of physics and trigonometry to bloodstain pattern analysis.

课题包含利用流体物理学规律,以及物理学和三角学的应用来对血溅形态进行分析。

6.It was also programmed with subroutines for logarithms and trigonometry.

它也用编好的子程序计算对数和三角。

7.Now, I know the trigonometry; I've got to get the angles right and so forth.

现在,我知道三角,我已经得到了正确的角度等等。

8.We may determine the height of a mountain by trigonometry.

我们可用三角原理测定山的高度。

9.One naturally wants for things to go well, but if an obdurate pupil flunks trigonometry, it is - at base - their problem.

他们自然希望事情顺利,但是如果一个差生在三角学上挂了科,从根本上说,那是他们自己的问题。

10.Many professions, including aviation, rely on trigonometry 三角学 for navigation.

包括航空在内的许多职业依赖于trigonometry 三角学进行导航。

11.Understanding trigonometry 三角学 is essential for solving problems in physics.

理解trigonometry 三角学对解决物理问题至关重要。

12.In high school, I struggled with trigonometry 三角学 but eventually found it fascinating.

在高中,我对trigonometry 三角学感到困惑,但最终发现它很有趣。

13.Architects use trigonometry 三角学 to calculate structural loads and angles.

建筑师使用trigonometry 三角学来计算结构负载和角度。

14.The engineer explained how trigonometry 三角学 helps in designing roads and bridges.

工程师解释了trigonometry 三角学如何帮助设计道路和桥梁。

作文

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It is particularly important in various fields such as physics, engineering, and architecture. In essence, trigonometry (三角学) provides tools to measure distances and angles, enabling us to understand the properties of triangles better. One of the fundamental concepts in trigonometry (三角学) is the use of sine, cosine, and tangent functions. These functions relate the angles of a triangle to the lengths of its sides, allowing us to solve for unknown values when given certain information.The history of trigonometry (三角学) dates back to ancient civilizations. The Greeks were among the first to study these relationships systematically. Notably, the mathematician Hipparchus is often referred to as the 'father of trigonometry' because he compiled the first known trigonometric table. This early work laid the foundation for future advancements in the field. Over time, trigonometry (三角学) evolved, with significant contributions from Indian and Islamic mathematicians who expanded on Greek theories and introduced new concepts.In modern times, trigonometry (三角学) has found applications beyond pure mathematics. For example, in physics, it helps in understanding wave patterns and oscillations. Engineers use trigonometry (三角学) to design structures, ensuring they can withstand various forces. This is crucial in fields like civil engineering, where the stability of buildings and bridges depends on precise calculations involving angles and distances.Another area where trigonometry (三角学) plays a vital role is in navigation. Sailors and pilots rely on trigonometric principles to determine their position and course. By applying trigonometry (三角学), they can calculate distances and angles between landmarks or celestial bodies, ensuring safe travel across vast distances.Moreover, trigonometry (三角学) is essential in computer graphics. When creating realistic images and animations, programmers use trigonometric functions to simulate light, shadows, and perspectives. This application highlights how trigonometry (三角学) is not just an abstract concept but a practical tool that enhances our visual experiences in digital media.In conclusion, trigonometry (三角学) is a fundamental aspect of mathematics with a rich history and diverse applications. Its significance extends far beyond the classroom, influencing various industries and scientific fields. Understanding trigonometry (三角学) equips individuals with valuable skills for problem-solving and critical thinking. As we continue to explore the world around us, the principles of trigonometry (三角学) will undoubtedly remain a key component in our quest for knowledge and innovation.

三角学是数学的一个分支,研究三角形的角和边之间的关系。它在物理学、工程学和建筑学等多个领域中尤为重要。从本质上讲,trigonometry(三角学)提供了测量距离和角度的工具,使我们能够更好地理解三角形的性质。trigonometry(三角学)中的一个基本概念是正弦、余弦和正切函数的使用。这些函数将三角形的角与其边的长度联系起来,使我们能够在给定某些信息时求解未知值。trigonometry(三角学)的历史可以追溯到古代文明。希腊人是最早系统研究这些关系的人之一。值得注意的是,数学家希帕恰斯被称为“三角学之父”,因为他编制了第一部已知的三角函数表。这一早期工作为该领域未来的发展奠定了基础。随着时间的推移,trigonometry(三角学)不断发展,印度和伊斯兰数学家对希腊理论进行了扩展并引入了新概念。在现代,trigonometry(三角学)在纯数学之外找到了应用。例如,在物理学中,它有助于理解波动模式和振荡。工程师使用trigonometry(三角学)设计结构,确保其能够承受各种力量。这在土木工程等领域至关重要,因为建筑物和桥梁的稳定性取决于涉及角度和距离的精确计算。trigonometry(三角学)发挥重要作用的另一个领域是导航。水手和飞行员依赖三角学原理来确定他们的位置和航向。通过应用trigonometry(三角学),他们可以计算地标或天体之间的距离和角度,从而确保在广阔的距离上安全旅行。此外,trigonometry(三角学)在计算机图形学中也是必不可少的。在创建逼真的图像和动画时,程序员使用三角函数来模拟光线、阴影和透视。这一应用突显了trigonometry(三角学)不仅仅是一个抽象概念,而是一个提升我们在数字媒体中视觉体验的实用工具。总之,trigonometry(三角学)是数学的一个基本方面,具有丰富的历史和多样的应用。它的重要性超越了课堂,影响着各个行业和科学领域。理解trigonometry(三角学)使个人具备了解决问题和批判性思维的宝贵技能。在我们继续探索周围世界的过程中,trigonometry(三角学)的原理无疑将继续成为我们追求知识和创新的关键组成部分。