Outline of trigonometry
삼각법(Trigonometry)은 삼각형(triangle)에서 변과 각도 사이의 관계를 연구하는 수학(mathematics)의 한 가지입니다. 삼각법은 그들 관계를 설명하고 파동과 같은 주기적 현상에 적용가능성을 가지는 삼각 함수(trigonometric functions)를 정의합니다.
Basics
- 기하학(Geometry) – 모양, 크기, 그림의 상대적 위치, 및 공간의 속성의 질문과 관련된 수학. 기하학은 삼각법에서 광범위하게 사용됩니다.
- 각도(Angle) – 각도는 각도의 꼭짓점이라고 불리는 공통 끝점을 공유하는 각도의 변이라고 불리는 둘의 반-직선에 의해 형성된 그림입니다. 둘의 반-직선에 의해 형성된 각도는 평면에 놓여 있지만, 이 평면은 유클리드 평면일 필요는 없습니다.
- 비율(Ratio) – 비율은 한 숫자에 다른 숫자가 얼마나 많은 횟수로 포함되었는지를 나타냅니다.
Content of trigonometry
Scholars
- Archimedes
- Aristarchus
- Aryabhata
- Bhaskara I
- Claudius Ptolemy
- Euclid
- Hipparchus
- Madhava of Sangamagrama
- Ptolemy
- Pythagoras
- Regiomontanus
History
- Aristarchus's inequality
- Bhaskara I's sine approximation formula
- Greek astronomy
- Indian astronomy
- Jyā, koti-jyā and utkrama-jyā
- Madhava's sine table
- Ptolemy's table of chords
- Rule of marteloio
- Āryabhaṭa's sine table
Fields
- Acoustics
- Architecture
- Astronomy
- Biology
- Cartography
- Chemistry
- Civil engineering
- Computer graphics
- Cryptography
- Crystallography
- Economics
- Electrical engineering
- Electronics
- Game development
- Geodesy
- Mechanical engineering
- Medical imaging
- Meteorology
- Music theory
- Number theory
- Oceanography
- Optics
- Pharmacy
- Phonetics
- Physical science
- Probability theory
- Seismology
- Statistics
- Surveying
Physics
Astronomy
Chemistry
Geography, geodesy, and land surveying
- Hansen's problem
- Snellius–Pothenot problem
- Great-circle distance – 만약 우리가 위도(latitude)와 경도(longitude)를 알고 있으면 해당 거리를 찾는 방법.
- Resection (orientation)
- Vincenty's formulae
- Geographic distance
- Triangulation in three dimensions
Engineering
Analog devices
Calculus
- Inverse trigonometric functions
- List of integrals of trigonometric functions
- List of integrals of inverse trigonometric functions
- Regiomontanus' angle maximization problem
- Tangent half-angle substitution
- Trigonometric integral
- Trigonometric substitution
- Applications
Other areas of mathematics
- 조합론(combinatorics)에서 생성하는 함수(generating functions)로 삼각 함수의 예제에 대해, 교대하는 순열(Alternating permutation)을 참조하십시오.
- Dirichlet kernel
- Euler's formula
- Exact trigonometric constants
- Exponential sum
- Trigonometric integral
- Trigonometric number
- Trigonometric polynomial
- Trigonometric series
Geometric foundations
- Altern base
- Angle
- Angle excess
- Angular distance
- Angular unit
- Degree (angle)
- Gon (angle) (일명 Grad, Gradian)
- Radian
- Turn (angle)
- Brocard points
- Chord (geometry)
- Circle (역시 원 주제의 목록을 참조하십시오)
- Hypotenuse
- Opposites post
- π (pi)
- Ptolemy's theorem
- Pythagorean theorem
- Regiomontanus' angle maximization problem
- Thales' theorem
- Trigonometric function
- Trigonometry of a tetrahedron
- Triangle (역시 삼각형 주제의 목록을 참조하십시오)
Trigonometric functions
- Sine, Cosine, Tangent (trigonometric function), Cotangent, Secant (trigonometric function), Cosecant – 삼각 함수(Trigonometric function)를 참조하십시오
- atan2
- cis—오일러의 공식(Euler's formula)을 참조하십시오
- Cofunction
- Exsecant
- Gudermannian function
- Inverse trigonometric functions
- Jyā, koti-jyā and utkrama-jyā
- Versine
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
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, 1500년대 후반에 도입된 사인을 계산하는 알고리듬
Trigonometric tables
- Generating trigonometric tables
- Āryabhaṭa's sine table
- Bhaskara I's sine approximation formula
- Madhava's sine table
- Ptolemy's table of chords, 기원후 2세기에 쓰였습니다.
- Rule of marteloio
- Canon Sinuum, 1500년대 후반에 발표된, 2 아크초의 단위에서 사인을 나열함.
Spherical trigonometry
Mnemonics
Lists
- List of integrals of trigonometric functions
- List of integrals of inverse trigonometric functions
- List of trigonometric identities
- Table of mathematical symbols
See also
- Algebra
- Hyperbolic function
- List of exponential topics
- Outline of geometry
- Precalculus
- Spherical geometry
- Table of mathematical symbols
External links
Wikibooks has a book on the topic of: Trigonometry
- An introduction to trigonometry
- Benjamin Banneker's Trigonometry Puzzle at Convergence
- Dave's short trig course
- 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 FAQ
- Trigonometry on Mathwords.com index of trigonometry entries on Mathwords.com
- Trigonometry on PlainMath.net Trigonometry Articles from PlainMath.Net