三角学

Also known as trig

Trigonometry () is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine.

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Trigonometry is a branch of mathematics that studies the relationships between the angles and side lengths of triangles, particularly using trigonometric functions that connect a right triangle's angles to ratios of its sides. The field developed in the Hellenistic world over 2,000 years ago out of a need to solve problems in astronomy, and it became foundational enough that mathematicians across cultures—from ancient Greece to India—developed various tools and tables to work with it.

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Wikidata facts

Instance of: branch of mathematics
Subclass of: geometry
Has part: trigonometric table
Image: Fotothek df tg 0000230 Geometrie ^ Trigonometrie.jpg
Has use: uses of trigonometry

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on focus list of Wikimedia project: Wikipedia:List of articles all languages should have
Commons category: Trigonometry
topic's main category: Category:Trigonometry
Stack Exchange tag: matheducators.stackexchange.com/tags/trigonometry
described by source: Encyclopædia Britannica 11th edition
maintained by WikiProject: WikiProject Mathematics
is the study of: unit circle
history of topic: history of trigonometry
P8168: Lars Björn

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Article · 中文

三角学（英語：Trigonometry）是數學的一個分支，主要研究三角形，以及三角形中边与角之间的关系。三角学定義了三角函數，可以描述三角形边与角的关系，而且都是周期函数，可以用來描述周期性的現象。三角学在西元前三世紀時開始發展，最早是幾何學的一個分支，廣泛的用在天文量測中，三角学也是測量學的基礎。三角学的基礎是平面三角学，研究平面上的三角形中边与角之间的关系，分为角的度量、三角函数与反三角函数、诱导公式、和与差的公式、倍角、半角公式、和差化积与积化和差公式、解三角形等内容，可能會是單獨的一個科目或是在预科微积分教授，三角函數在純數學及應用數學中的許多領域中出現，例如傅立葉分析及波函數等，是許多科技領域的基礎。三角学也包括球面三角學，研究球面上，由大圓的弧所包圍成的球面三角形，位在曲率為正值常數的曲面上，是橢圓幾何的一部份，球面三角學是天文學及航海的基礎，也在测量学、制图学、结晶学、仪器学等方面有广泛的应用。負曲率曲面上的三角学則是雙曲幾何中的一部份。

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