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单词 Half angle formulas
释义

Half angle formulas

中文百科

三角恒等式 List of trigonometric identities

(重定向自Half angle formulas)
在几何上依据以O为中心的单位圆可以构造角θ的很多三角函数。
单位圆的角度
三角函数间的关系
图标正弦与余弦的角和公式,强调的线段是单位长度。

在数学中,三角恒等式是对出现的变量的所有值都为实的涉及到三角函数的等式。这些恒等式在表达式中有些三角函数需要简化的时候是很有用的。一个重要应用是非三角函数的积分:一个常用技巧是首先使用使用三角函数的代换规则,则通过三角恒等式可简化结果的积分。

英语百科

List of trigonometric identities 三角恒等式

(重定向自Half angle formulas)
Cosines and sines around the unit circle
All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. Many of these terms are no longer in common use.
Illustration of angle addition formulae for the sine and cosine. Emphasized segment is of unit length.

In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every single value of the occurring variables where both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles. They are distinct from triangle identities, which are identities potentially involving angles but also involving side lengths or other lengths of a triangle.

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更新时间:2025/6/20 21:02:44