cos(θ)的意思、翻譯和例句

是什麼意思

「cos(θ)」是三角函數中的餘弦函數,表示一個角度θ的餘弦值。餘弦函數是基於一個直角三角形的鄰邊與斜邊的比率,或在單位圓中,對應於該角度的x坐標。餘弦函數在數學、物理及工程學中有廣泛的應用,比如在波動、振動及圓周運動等領域。

依照不同程度的英文解釋

  1. A function that helps find the length of a side in a triangle.
  2. A tool to calculate angles and sides in triangles.
  3. A way to describe how much one side relates to another in a triangle.
  4. A function that gives a value based on the angle in a right triangle.
  5. A mathematical function that relates an angle to the ratio of two sides in a triangle.
  6. A trigonometric function that provides the x-coordinate of a point on the unit circle corresponding to a given angle.
  7. A function used in mathematics to model periodic phenomena, defined as the adjacent side over the hypotenuse.
  8. A fundamental function in trigonometry that expresses the relationship between an angle and the lengths of the sides of a right triangle.
  9. A critical function in trigonometry that describes the cosine of an angle as the ratio of the length of the adjacent side to the hypotenuse.
  10. A function that represents the cosine of an angle, used extensively in various fields of science and engineering.

相關英文單字或片語的差別與用法

1:Cosine

用法:

在數學中,餘弦是一個重要的三角函數,通常用於描述角度與邊的關係。它的值可以通過直角三角形的鄰邊與斜邊的比率來計算,或透過單位圓中對應於該角度的x坐標來獲得。餘弦函數在物理學、工程學及計算機科學等多個領域都有應用,尤其是在波動、振動及圓周運動的分析中。

例句及翻譯:

例句 1:

在直角三角形中,餘弦值等於鄰邊除以斜邊。

In a right triangle, the cosine value equals the adjacent side divided by the hypotenuse.

例句 2:

你可以使用計算器來計算cos(30°)的值。

You can use a calculator to find the value of cos(30°).

例句 3:

在物理學中,餘弦函數常用於描述波的運動。

In physics, the cosine function is often used to describe the motion of waves.