cofunction

简明释义

英[kəʊˈfʌŋkʃən]美[ˈkoˌfʊŋkʃən]

n. [数] 余函数

英英释义

单词用法

同义词

反义词

例句

1."Compromise and competition" doesn't mean unprincipled compromise, but contains an affirmation of "competition", for it admits a coexistence and cofunction of varieties of ideas and theories.

“和诤”不是无原则的调和，其中体现着对“争”的肯定，它承认各种思想理论的并存并行。

2."Compromise and competition" doesn't mean unprincipled compromise, but contains an affirmation of "competition", for it admits a coexistence and cofunction of varieties of ideas and theories.

“和诤”不是无原则的调和，其中体现着对“争”的肯定，它承认各种思想理论的并存并行。

3.The formula for finding the cofunctions 余函数 can help in solving various mathematical problems.

寻找cofunctions 余函数的公式可以帮助解决各种数学问题。

4.In trigonometry, the sine and cosine functions are considered to be cofunctions 余函数 of each other.

在三角学中，正弦和余弦函数被认为是彼此的cofunctions 余函数。

5.Understanding cofunctions 余函数 is essential for mastering advanced trigonometric identities.

理解cofunctions 余函数对于掌握高级三角恒等式至关重要。

6.The relationship between tangent and cotangent can also be described using cofunctions 余函数.

正切和余切之间的关系也可以用cofunctions 余函数来描述。

7.When studying angles, we often use the concept of cofunctions 余函数 to simplify calculations.

在研究角度时，我们经常使用cofunctions 余函数的概念来简化计算。

作文

In mathematics, the term cofunction refers to a specific relationship between trigonometric functions. For instance, the sine function is related to the cosine function through the concept of cofunction. In simple terms, the cofunction of an angle in a right triangle is the function that corresponds to the complementary angle. This means that for any angle θ, the sine of θ is equal to the cosine of its complement (90° - θ). This relationship is not only fundamental in trigonometry but also has practical applications in various fields such as physics, engineering, and computer science.Understanding the concept of cofunction can significantly enhance one's ability to solve complex problems involving angles and triangles. For example, when analyzing wave patterns in physics, the sine and cosine functions often represent different aspects of the same phenomenon. By recognizing the cofunction relationships, students and professionals alike can simplify their calculations and gain deeper insights into the behavior of waves.Moreover, the idea of cofunction extends beyond just sine and cosine. Other trigonometric functions like tangent, cotangent, secant, and cosecant also have cofunction relationships. For instance, the tangent of an angle is the cofunction of the cotangent of its complement. This interconnectedness among the functions highlights the elegance of trigonometry and its underlying principles.In addition to its mathematical significance, the concept of cofunction can serve as a metaphor in various life situations. Just as trigonometric functions are interrelated, so too are different aspects of our lives. For instance, in teamwork, one person's strength can be complemented by another's weakness, creating a balanced and effective unit. This idea mirrors the mathematical principle where one function can enhance or complete another.Furthermore, the study of cofunction relationships encourages critical thinking and problem-solving skills. When faced with a challenging problem, recognizing the connections between different functions can lead to innovative solutions. This skill is crucial not only in mathematics but also in everyday decision-making and strategic planning.In conclusion, the term cofunction is more than just a mathematical concept; it embodies a broader understanding of relationships and interdependencies. By mastering the idea of cofunction, individuals can improve their mathematical abilities while also drawing parallels to real-life scenarios. Whether in academics, professional endeavors, or personal growth, the principles behind cofunction can provide valuable insights and foster a deeper appreciation for the interconnectedness of knowledge and experience.

在数学中，术语cofunction指的是三角函数之间的一种特定关系。例如，正弦函数通过共函数的概念与余弦函数相关联。简单来说，直角三角形中一个角的cofunction是与其互补角相对应的函数。这意味着对于任何角度θ，θ的正弦等于其补角（90° - θ）的余弦。这种关系不仅在三角学中是基础的，而且在物理、工程和计算机科学等各个领域都有实际应用。理解cofunction的概念可以显著增强一个人解决涉及角度和三角形的复杂问题的能力。例如，在物理学中分析波动模式时，正弦和余弦函数通常代表同一现象的不同方面。通过认识到cofunction关系，学生和专业人士可以简化计算，并深入了解波的行为。此外，cofunction的思想不仅限于正弦和余弦。其他三角函数如正切、余切、正割和余割也有共函数关系。例如，一个角的正切是其补角的余切的共函数。这些函数之间的相互联系突显了三角学的优雅及其基本原理。除了数学意义外，cofunction的概念还可以作为生活中各种情境的隐喻。就像三角函数是相互关联的，我们生活中的不同方面也是如此。例如，在团队合作中，一个人的优势可以被另一个人的劣势所补充，从而形成一个平衡有效的单位。这一理念反映了数学原理，即一个函数可以增强或完成另一个函数。此外，研究cofunction关系鼓励批判性思维和解决问题的能力。当面临挑战性问题时，识别不同函数之间的联系可以导致创新的解决方案。这项技能不仅在数学中至关重要，而且在日常决策和战略规划中也至关重要。总之，术语cofunction不仅仅是一个数学概念；它体现了对关系和相互依赖性的更广泛理解。通过掌握cofunction的理念，个人可以提高他们的数学能力，同时在现实生活场景中找到类比。无论是在学术研究、职业追求还是个人成长中，cofunction背后的原则都能提供宝贵的见解，并促进对知识和经验相互联系的更深刻理解。