List of trigonometry topics

This is a list of trigonometry topics, by Wikipedia page.

(Some topics appear in more than one section below.)

Contents 1 Geometric foundations of trigonometry 2 Trigonometric functions 3 Trigonometric identities 4 Solution of triangles 5 More advanced trigonometric concepts and methods 6 Numerical mathematics 6.1 Trigonometric tables 7 Use in geometry 7.1 Spherical trigonometry 8 Elementary calculus 9 Other areas of mathematics 10 Trigonometry in science and engineering 10.1 Physics 10.2 Astronomy 10.3 Chemistry 10.4 Geography, geodesy, and land surveying 10.5 Navigation 10.6 Engineering 11 History 11.1 People 12 Mnemonics 13 See also 14 External links

Geometric foundations of trigonometry

• Altern base
• Angle
• Angular distance
• Angle excess
• Chord (geometry)
• Circle (also see List of circle topics)
  • Unit circle
• Degree (angle)
• Grad (angle)
• Hypotenuse
• Opposites theorem
• π (pi)
• Ptolemy's theorem
• Pythagorean theorem
• Radian
• Right angle
• Thales' theorem
• Trigonometric function
• Triangle (also see List of triangle topics)

Trigonometric functions

• Sine, Cosine, Tangent, Cotangent, Secant, 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

• 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

• Law of sines
• Law of cosines
• Law of tangents
• Law of cotangents
• Mollweide's formula

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

Trigonometric tables

• Generating trigonometric tables
• Āryabhaṭa's sine table
• Bhaskara I's sine approximation formula
• Madhava's sine table
• Ptolemy's table of chords
• Rule of marteloio

Use in geometry

• Brocard points
• Regiomontanus' angle maximization problem

Spherical trigonometry

• Half-side formula
• Haversine formula

Elementary calculus

• List of integrals of trigonometric functions
• List of integrals of inverse trigonometric functions
• Regiomontanus' angle maximization problem
• Trigonometric substitution
• Weierstrass 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

Physics

• Abbe sine condition
• Greninger chart
• Phasor
• Snell's law

Astronomy

• Equant
• Parallax

Chemistry

• Greninger chart

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

Navigation

• Haversine formula
• Rule of marteloio

Engineering

• Belt problem
• Phase response
• Phasor
• Rake (angle)

History

• 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

• Aristarchus
• Ptolemy
• Bhaskara I
• Madhava
• Pythagoras
• Regiomontanus

Mnemonics

• All Students Take Calculus

See also

• List of exponential topics
• Hyperbolic function

External links

• 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