Trigonometric function Meaning: Definition, Examples, and Translations
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trigonometric function
[หtraษชษกษnษหmษtrษชk fสลkสษn ]
Definition
Context #1 | Noun
mathematics
Any of the six functions sine, cosine, tangent, cosecant, secant, and cotangent of an angle.
Examples of usage
- The trigonometric functions are used to calculate the relationships between the angles and sides of triangles.
- Sine, cosine, and tangent are the primary trigonometric functions.
Translations
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Interesting Facts
History
- Ancient Babylonians used early forms of trigonometry as far back as 2000 BCE to find angles, laying groundwork for future studies.
- Greek mathematician Hipparchus is often referred to as the 'father of trigonometry' for creating the first known trigonometric table.
Applications
- These functions are essential in various fields like astronomy, engineering, physics, and architecture for studying waves and angles.
- They help in navigation systems, including GPS, by determining positions based on angles.
- In everyday life, trigonometric functions assist in designing buildings, bridges, and even video game graphics.
Science
- Trigonometric functions describe periodic phenomena, making them vital in physics for waves, oscillations, and harmonic motion.
- They play a fundamental role in calculus, particularly in solving integrals and derivatives involving periodic functions.
Pop Culture
- Trigonometric identities sometimes appear in music theory, helping composers structure their melodies based on wave patterns.
- Mathematical concepts, including these functions, are often referenced in TV shows and movies, showcasing the intersection of math and storytelling.
Origin of 'trigonometric function'
Main points about word origin
- The word comes from Greek roots: 'trigonon' meaning 'triangle' and 'metron', which means 'measure'.
- The term was first used in the 16th century as mathematicians began studying the relationships between angles and sides.
The study of trigonometric functions dates back to ancient civilizations, such as the Babylonians and Greeks. The word 'trigonometry' itself comes from the Greek words 'trigลnon' (triangle) and 'metron' (measure). Trigonometric functions have wide applications in various fields, including mathematics, physics, engineering, and astronomy. They are essential for solving problems related to angles and distances in both theoretical and practical contexts.