List of trigonometry topics
This is a list of trigonometry topics, by Wikipedia page.
(Some topics appear in more than one section below.)
Geometric foundations of trigonometry
- Altern base
- Angle
- Angle excess
- Angular distance
- Angular unit
- Degree (angle)
- Gon (angle) (aka Grad, Gradian)
- Radian
- Turn (angle)
- Chord (geometry)
- Circle (also see List of circle topics)
- Hypotenuse
- Opposites post
- π (pi)
- Ptolemy's theorem
- Pythagorean theorem
- Thales' theorem
- Trigonometric function
- Triangle (also see List of triangle topics)
Trigonometric functions
- Sine, Cosine, Tangent (trigonometric function), Cotangent, Secant (trigonometric function), Cosecant – see Trigonometric function
- atan2
- cis—see Euler's formula
- Cofunction
- Exsecant
- Gudermannian function
- Inverse trigonometric functions
- Jyā, koti-jyā and utkrama-jyā
- Versine
Trigonometric identities
Main article: Trigonometric identity
Main article: List of trigonometric identities
- De Moivre's formula
- Euler's formula
- Hermite's cotangent identity
- Lagrange's trigonometric identities
- Morrie's law
- Proofs of trigonometric identities
- Pythagorean trigonometric identity
- Tangent half-angle formula
Solution of triangles
Main article: Solution of triangles
More advanced trigonometric concepts and methods
- Chebyshev polynomials
- Conway triangle notation
- Exact trigonometric constants
- Generalized trigonometry
- Gudermannian function
- Lissajous curve
- Polar sine
- Rational trigonometry
- Spread polynomials
Numerical mathematics
- Abbe error
- Hypot
- Prosthaphaeresis
- Trigonometric interpolation
- Kunstweg, an algorithm for computing sines, introduced in the late 1500s
Trigonometric tables
Main article: Trigonometric tables
- Generating trigonometric tables
- Āryabhaṭa's sine table
- Bhaskara I's sine approximation formula
- Madhava's sine table
- Ptolemy's table of chords, written in the second century A.D.
- Rule of marteloio
- Canon Sinuum, listing sines at increments of two arcseconds, published in the late 1500s
Use in geometry
Spherical trigonometry
Main article: Spherical trigonometry
Elementary calculus
- List of integrals of trigonometric functions
- List of integrals of inverse trigonometric functions
- Regiomontanus' angle maximization problem
- Trigonometric substitution
- Tangent half-angle substitution
Other areas of mathematics
- For examples of trigonometric functions as generating functions in combinatorics, see Alternating permutation.
- Dirichlet kernel
- Euler's formula
- Exact trigonometric constants
- Exponential sum
- Trigonometric integral
- Trigonometric number
- Trigonometric polynomial
- Trigonometric series
- Trigonometry in Galois fields
Trigonometry in science and engineering
Main article: Uses of trigonometry
Physics
Astronomy
Chemistry
Geography, geodesy, and land surveying
- Hansen's problem
- Snellius–Pothenot problem
- Great-circle distance – how to find that distance if one knows the latitude and longitude.
- Resection (orientation)
- Vincenty's formulae
- Geographic distance
- Triangulation in three dimensions
Navigation
Engineering
Analog devices
History
Main article: History of trigonometry
- Aristarchus' inequality
- Āryabhaṭa's sine table
- Bhaskara I's sine approximation formula
- Jyā, koti-jyā and utkrama-jyā
- Madhava's sine table
- Ptolemy's table of chords
- Rule of marteloio
People
Mnemonics
Main article: mnemonics in trigonometry
See also
External links
Wikibooks has a book on the topic of: Trigonometry |
- Dave's short trig course
- An introduction to trigonometry
- Trigonometry FAQ
- Trigonometric Delights, by Eli Maor, Princeton University Press, 1998. Ebook version, in PDF format, full text presented.
- Trigonometry by Alfred Monroe Kenyon and Louis Ingold, The Macmillan Company, 1914. In images, full text presented.
- Trigonometry on PlainMath.net Trigonometry Articles from PlainMath.Net
- Trigonometry on Mathwords.com index of trigonometry entries on Mathwords.com
- Benjamin Banneker's Trigonometry Puzzle at Convergence
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