cot(θ)的意思、翻譯和例句

是什麼意思

「cot(θ)」是三角函數之一,表示餘切函數(cotangent)。它的定義是某個角度θ的餘弦值(cos(θ))與正弦值(sin(θ))的比值,即:cot(θ) = cos(θ) / sin(θ)。在直角三角形中,餘切函數可以被視為鄰邊長與對邊長的比值。餘切函數在數學、物理和工程等領域中有著廣泛的應用。

依照不同程度的英文解釋

  1. The ratio of the adjacent side to the opposite side in a right triangle.
  2. A function related to angles in triangles.
  3. The cosine divided by the sine of an angle.
  4. A trigonometric function that is the reciprocal of the tangent.
  5. A function used to find relationships in right triangles.
  6. A function that helps in solving problems involving angles.
  7. A mathematical function that can be used in calculus and geometry.
  8. A function defined as the ratio of the cosine to sine of an angle.
  9. A fundamental trigonometric function used in various mathematical applications.
  10. A key concept in trigonometry that relates to angles and sides of triangles.

相關英文單字或片語的差別與用法

1:Cotangent

用法:

在數學中,餘切函數通常用「cot」表示,是一種基本的三角函數。餘切函數的定義是某個角θ的餘弦值與正弦值的比率,這使得它在解決三角形問題和計算角度時非常有用。它在物理學、工程學和計算機科學等領域也有重要應用,尤其是在波動、振動和周期性現象的分析中。

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值。

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

例句 2:

計算角度的餘切值時,可以使用三角函數計算器。

When calculating the cotangent of an angle, you can use a trigonometric calculator.

例句 3:

餘切函數在許多數學問題中都非常有用。

The cotangent function is very useful in many mathematical problems.