trigonometry
Sign in to saveTrigonometry () 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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Article
32 sectionsContents
- History
- Trigonometric ratios
- {{anchor|SOHCAHTOA}}Mnemonics
- The unit circle and common trigonometric values
- Trigonometric functions of real or complex variables
- Graphs of trigonometric functions
- Inverse trigonometric functions
- Power series representations
- Calculating trigonometric functions
- Other trigonometric functions
- Applications
- Astronomy
- Navigation
- Surveying
- Periodic functions
- Optics and acoustics
- Other applications
- Identities
- Triangle identities
- Law of sines
- Law of cosines
- Law of tangents
- Area
- Trigonometric identities
- Pythagorean identities
- Euler's formula
- Other trigonometric identities
- See also
- References
- Bibliography
- Further reading
- External links
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.
Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation.