cotangent

cotangent的音标是[ˌkɒtənˈdʒent]，基本翻译是余切。速记技巧是：后跟正切，前跟余弦。

cotangent的英文词源可以追溯到拉丁语词“cotanto”和“tangere”，意为“在某种程度上被触及”。它的变化形式包括“cotangent”, “co-tangent”, “counter-tangent”, “tangential”等。其中，“cotangent”表示余切函数，是三角函数的一种，用于描述角度和角度之间的比值关系。它常常在几何学和三角学中应用，特别是在三角函数表中查找角度和对应的余切值。相关单词可以解释为描述与切线相关的概念，如“tangential”意为切线的，与曲线或直线的相切状态相关；“counter-tangent”意为反切，与正切相对，用于描述两个角度的比值关系。

常用短语：

1. cotangent of angle

2. cotangent function

3. opposite cotangent

4. adjacent cotangent

5. reciprocal cotangent

6. cotangent sine product

7. cotangent cosine product

双语例句：

1. The cotangent of an angle measures the ratio of the opposite side to the adjacent sides of the triangle.

2. The reciprocal cotangent of a number is the reciprocal of its cotangent.

3. The cotangent function is a fundamental trigonometric function that can be used to solve problems related to triangles and circular arcs.

4. In trigonometric identities, we can use the cotangent sine product and the cotangent cosine product to simplify expressions.

5. The reciprocal of the cotangent of an angle is equal to the sine of the angle divided by the cosine of the angle.

6. The cotangent of a right angle is 1, and the reciprocal of the cotangent of a right angle is also 1.

7. In a triangle, the opposite and adjacent cotangents add up to 1, which is a fundamental property of the cotangent function.

英文小作文：

Title: The Cotangent Function: An Introduction

The cotangent function is a fundamental trigonometric function that plays a crucial role in understanding triangles and circular arcs. It measures the ratio of opposite sides to adjacent sides in a triangle, and it also relates to the sine and cosine functions in circular arcs.

One of the most important properties of the cotangent function is that its reciprocal is equal to the sine divided by the cosine, which helps us to understand how triangles and circular arcs are related. Another fundamental property is that the opposite and adjacent cotangents add up to 1, which helps us to simplify expressions involving the cotangent function.

The cotangent function is also used in trigonometric identities to simplify expressions and solve problems related to triangles and circular arcs. It is a powerful tool that can help us to understand these fundamental geometric shapes in a more comprehensive way.