Cotangent的意思、翻譯和例句

是什麼意思

「餘切」是三角函數之一,通常用於數學和物理中。它是直角三角形中,對邊與鄰邊的比率的倒數,或在圓的上下文中,定義為一個角的餘弦值與正弦值的比值。餘切函數的定義為:cot(θ) = 1/tan(θ) = cos(θ)/sin(θ)。在數學上,餘切函數的值在 0 和 π 的範圍內是無法定義的,因為在這些點上正弦值為零。餘切函數在許多數學應用中非常重要,尤其是在解析三角形、解方程和計算波動時。

依照不同程度的英文解釋

  1. A function related to angles in triangles.
  2. The ratio of the adjacent side to the opposite side in a right triangle.
  3. The reciprocal of the tangent function.
  4. A trigonometric function that is the ratio of cosine to sine.
  5. A function used to describe relationships between angles and sides in geometry.
  6. A function that is essential in many areas of mathematics, particularly in trigonometry.
  7. A mathematical function defined as the cosine of an angle divided by the sine of the same angle.
  8. A trigonometric function that is undefined for certain angles where sine equals zero.
  9. A key function in trigonometry that helps solve problems involving angles and lengths.
  10. A function that plays a significant role in the study of triangles and periodic phenomena.

相關英文單字或片語的差別與用法

1:Cotangent

用法:

在數學中,餘切是三角函數之一,通常用於描述直角三角形的邊長比。它的定義是:餘切等於鄰邊長除以對邊長,或是餘弦值除以正弦值。餘切函數在三角學中非常重要,因為它與其他三角函數(如正切、正弦和餘弦)密切相關。餘切通常用於解決三角形問題、計算角度及分析波動現象。

例句及翻譯:

例句 1:

在直角三角形中,餘切是鄰邊與對邊的比率。

In a right triangle, the cotangent is the ratio of the adjacent side to the opposite side.

例句 2:

我們可以使用餘切函數來計算這個角的值。

We can use the cotangent function to calculate the value of this angle.

例句 3:

餘切的圖形在 x 軸的某些點上是無法定義的。

The graph of the cotangent is undefined at certain points on the x-axis.