table of trigonometric function

简明释义

三角函数表

英英释义

例句

1.The engineer used the table of trigonometric function to determine the angles in the construction project.

工程师使用三角函数表来确定建筑项目中的角度。

2.During the calculus course, the table of trigonometric function helped us integrate trigonometric identities.

在微积分课程中，三角函数表帮助我们积分三角恒等式。

3.For the physics exam, I memorized the table of trigonometric function to solve problems involving angles.

为了物理考试，我记住了三角函数表来解决涉及角度的问题。

4.When learning about waves, the table of trigonometric function was essential for understanding sine and cosine.

在学习波动时，三角函数表对于理解正弦和余弦是必不可少的。

5.In my math class, we often refer to the table of trigonometric function for quick calculations.

在我的数学课上，我们经常参考三角函数表进行快速计算。

作文

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It plays a crucial role in various fields such as physics, engineering, and computer science. One of the essential tools in trigonometry is the table of trigonometric function, which provides values for the sine, cosine, tangent, and their respective inverses at specific angles. Understanding this table of trigonometric function is fundamental for anyone studying mathematics or related disciplines.The table of trigonometric function typically includes angles measured in degrees and radians, along with their corresponding sine, cosine, and tangent values. For instance, at 0 degrees (or 0 radians), the sine value is 0, the cosine value is 1, and the tangent value is also 0. As we move through the angles, these values change, reflecting the cyclical nature of trigonometric functions. This table not only aids in calculations but also helps in visualizing the unit circle, where these functions can be represented graphically.In practical applications, the table of trigonometric function is invaluable. Engineers use it to calculate forces in structures, while physicists apply it to understand wave patterns and oscillations. In computer graphics, trigonometric functions are used to create realistic animations and simulations. Hence, having a solid grasp of the table of trigonometric function enhances one’s ability to solve real-world problems efficiently.Moreover, learning how to derive the values in the table of trigonometric function can deepen one’s understanding of trigonometry. For example, by using the Pythagorean theorem, one can derive the sine and cosine values for common angles like 30°, 45°, and 60°. This approach not only reinforces the concepts but also builds confidence in using trigonometric identities and equations.In conclusion, the table of trigonometric function is an essential resource for students and professionals alike. It serves as a quick reference guide for calculating trigonometric values and aids in comprehending more complex mathematical concepts. By mastering the table of trigonometric function, individuals can enhance their analytical skills and apply trigonometry effectively in various fields. Whether you are a high school student preparing for exams or an engineer working on a project, understanding the table of trigonometric function is a vital step towards success in mathematics and its applications.

三角学是数学的一个分支，研究三角形的边和角之间的关系。它在物理学、工程学和计算机科学等多个领域中发挥着至关重要的作用。在三角学中，一个基本工具是三角函数表，它提供了特定角度下正弦、余弦、正切及其各自反函数的值。理解这个三角函数表对于任何学习数学或相关学科的人来说都是基础。三角函数表通常包括以度和弧度为单位的角度，以及它们对应的正弦、余弦和正切值。例如，在0度（或0弧度）时，正弦值为0，余弦值为1，正切值也为0。当我们通过这些角度时，这些值会变化，反映出三角函数的周期性特征。这个表不仅有助于计算，还帮助可视化单位圆，在那里这些函数可以图形化表示。在实际应用中，三角函数表是无价的。工程师用它来计算结构中的力，而物理学家则用它来理解波动模式和振荡。在计算机图形学中，三角函数用于创建逼真的动画和模拟。因此，扎实掌握三角函数表可以提高解决现实问题的能力。此外，学习如何推导三角函数表中的值可以加深对三角学的理解。例如，通过使用勾股定理，可以推导出常见角度（如30°、45°和60°）的正弦和余弦值。这种方法不仅巩固了概念，还增强了使用三角恒等式和方程的信心。总之，三角函数表是学生和专业人士的重要资源。它作为计算三角函数值的快速参考指南，并帮助理解更复杂的数学概念。通过掌握三角函数表，个人可以提升分析能力，并有效地将三角学应用于各个领域。无论您是准备考试的高中生还是正在进行项目的工程师，理解三角函数表都是在数学及其应用中取得成功的重要一步。