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Trigonometry is a branch of mathematics that studies the relationships between the sides and the angles in triangles. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves.

Basics

∠, the angle symbol in Unicode is U+2220

Geometry – mathematics concerned with questions of shape, size, the relative position of figures, and the properties of space. Geometry is used extensively in trigonometry.
Angle – the angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane.
Ratio –

Content of trigonometry

Scholars

History

Fields

Uses of trigonometry

Physics

Astronomy

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
Triangulation in three dimensions

Engineering

Analog devices

Calculus

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

Geometric foundations

Altern base
Angle
Angle excess
Angular distance
Angular unit
- Degree (angle)
- Gon (angle) (aka Grad, Gradian)
- Radian
- Turn (angle)
Brocard points
Chord (geometry)
Circle (also see List of circle topics)
- Unit circle
Hypotenuse
Opposites post
$π$ (pi)
Ptolemy's theorem
Pythagorean theorem
Regiomontanus' angle maximization problem
Thales' theorem
Trigonometric function
Trigonometry of a tetrahedron
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

Trigonometric identity (list)

Solution of triangles

More advanced trigonometric concepts and methods

Numerical mathematics

Abbe error
Hypot
Prosthaphaeresis
Trigonometric interpolation
Kunstweg, an algorithm for computing sines, introduced in the late 1500s

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

Spherical trigonometry

Mnemonics

mnemonics in trigonometry

All Students Take Calculus

Lists

External links

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

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			{{Short description\|1=Overview of and topical guide to trigonometry}}
	'''[[Trigonometry]]''' is a branch of [[mathematics]] that studies the relationships between the sides and the angles in [[triangle]]s. Trigonometry defines the [[trigonometric functions]], which describe those relationships and have applicability to cyclical phenomena, such as waves.		'''[[Trigonometry]]''' is a branch of [[mathematics]] that studies the relationships between the sides and the angles in [[triangle]]s. Trigonometry defines the [[trigonometric functions]], which describe those relationships and have applicability to cyclical phenomena, such as waves.