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97 relations: Abu al-Wafa' Buzjani, Acute and obtuse triangles, Alternating current, Angle trisection, Antiderivative, Arabs, Basel problem, Beat (acoustics), Cardioid, Central limit theorem for directional statistics, Cofunction, Coordinate rotations and reflections, CORDIC, Dirichlet kernel, Dispersion (water waves), Equation, Euler's formula, Exercise (mathematics), Exponentiation, Factorization, Fresnel equations, G equation, Glossary of calculus, Gudermannian function, Hansen's problem, Heptagonal triangle, Hermite's cotangent identity, Heterodyne, History of trigonometry, Hyperbolic function, Ibn Yunus, Identity (mathematics), Inclined plane, Integration using Euler's formula, Inverse trigonometric functions, John Napier, Kepler's laws of planetary motion, Lagrange's identity (disambiguation), Laplace transform, Law of cosines, List of logarithmic identities, List of mathematical identities, List of mathematics reference tables, List of things named after Joseph-Louis Lagrange, List of things named after Pythagoras, List of triangle topics, List of trigonometric identities, Lists of mathematics topics, Logarithm, Math Girls, ..., Metric tensor, Minimum-shift keying, Mnemonics in trigonometry, Morrie's law, Nephroid, Optical flat, Orthoptic (geometry), Outline of geometry, Outline of trigonometry, Parallelogram law, Parent function, Pentagon, Plus-minus sign, Poisson–Boltzmann equation, Polar sine, Precalculus, Product detector, Project Mathematics!, Proofs of trigonometric identities, Prosthaphaeresis, Pythagorean trigonometric identity, Pythagorean triple, Range of a projectile, Rational trigonometry, Rifleman's rule, Root mean square, Sine, Snellius–Pothenot problem, Stereographic projection, Tangent half-angle formula, Tangent half-angle substitution, Theoretical gravity, Third-order intercept point, Time derivative, Triangulation (surveying), Trigonometric constants expressed in real radicals, Trigonometric functions, Trigonometric functions of matrices, Trigonometric substitution, Trigonometric tables, Trigonometry, Tycho Brahe, Uncertainty principle, Vaṭeśvara, Versine, Viète's formula, Wave interference. Expand index (47 more) »
Abu al-Wafa' Buzjani
Abū al-Wafāʾ, Muḥammad ibn Muḥammad ibn Yaḥyā ibn Ismāʿīl ibn al-ʿAbbās al-Būzjānī or Abū al-Wafā Būzhjānī (ابوالوفا بوزجانی or بوژگانی) (10 June 940 – 15 July 998) was a Persian mathematician and astronomer who worked in Baghdad.
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Acute and obtuse triangles
An acute triangle is a triangle with all three angles acute (less than 90°).
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Alternating current
Alternating current (AC) is an electric current which periodically reverses direction, in contrast to direct current (DC) which flows only in one direction.
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Angle trisection
Angle trisection is a classical problem of compass and straightedge constructions of ancient Greek mathematics.
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Antiderivative
In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function.
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Arabs
Arabs (عَرَب ISO 233, Arabic pronunciation) are a population inhabiting the Arab world.
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Basel problem
The Basel problem is a problem in mathematical analysis with relevance to number theory, first posed by Pietro Mengoli in 1644 and solved by Leonhard Euler in 1734 and read on 5 December 1735 in ''The Saint Petersburg Academy of Sciences''.
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Beat (acoustics)
In acoustics, a beat is an interference pattern between two sounds of slightly different frequencies, perceived as a periodic variation in volume whose rate is the difference of the two frequencies.
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Cardioid
A cardioid (from the Greek καρδία "heart") is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius.
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Central limit theorem for directional statistics
In probability theory, the central limit theorem states conditions under which the average of a sufficiently large number of independent random variables, each with finite mean and variance, will be approximately normally distributed.
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Cofunction
In mathematics, a function f is cofunction of a function g if f(A).
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Coordinate rotations and reflections
In geometry, two-dimensional coordinate rotations and reflections are two kinds of Euclidean plane isometries which are related to one another.
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CORDIC
CORDIC (for COordinate Rotation DIgital Computer), also known as Volder's algorithm, is a simple and efficient algorithm to calculate hyperbolic and trigonometric functions, typically converging with one digit (or bit) per iteration.
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Dirichlet kernel
In mathematical analysis, the Dirichlet kernel is the collection of functions e^.
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Dispersion (water waves)
In fluid dynamics, dispersion of water waves generally refers to frequency dispersion, which means that waves of different wavelengths travel at different phase speeds.
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Equation
In mathematics, an equation is a statement of an equality containing one or more variables.
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Euler's formula
Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.
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Exercise (mathematics)
A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge.
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Exponentiation
Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.
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Factorization
In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
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Fresnel equations
The Fresnel equations (or Fresnel coefficients) describe the reflection and transmission of light (or electromagnetic radiation in general) when incident on an interface between different optical media.
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G equation
In Combustion, G equation is a scalar G(\mathbf,t) field equation which describes the instantaneous flame position, introduced by Forman A. Williams in 1985 in the study of premixed turbulent combustion.
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Glossary of calculus
Most of the terms listed in Wikipedia glossaries are already defined and explained within Wikipedia itself.
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Gudermannian function
The Gudermannian function, named after Christoph Gudermann (1798–1852), relates the circular functions and hyperbolic functions without explicitly using complex numbers.
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Hansen's problem
Hansen's problem is a problem in planar surveying, named after the astronomer Peter Andreas Hansen (1795–1874), who worked on the geodetic survey of Denmark.
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Heptagonal triangle
A heptagonal triangle is an obtuse scalene triangle whose vertices coincide with the first, second, and fourth vertices of a regular heptagon (from an arbitrary starting vertex).
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Hermite's cotangent identity
In mathematics, Hermite's cotangent identity is a trigonometric identity discovered by Charles Hermite.
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Heterodyne
Heterodyning is a signal processing technique invented in 1901 by Canadian inventor-engineer Reginald Fessenden that creates new frequencies by combining or mixing two frequencies.
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History of trigonometry
Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics.
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Hyperbolic function
In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions.
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Ibn Yunus
Abu al-Hasan 'Ali ibn 'Abd al-Rahman ibn Ahmad ibn Yunus al-Sadafi al-Misri (Arabic: ابن يونس; c. 950 – 1009) was an important Egyptian Muslim astronomer and mathematician, whose works are noted for being ahead of their time, having been based on meticulous calculations and attention to detail.
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Identity (mathematics)
In mathematics an identity is an equality relation A.
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Inclined plane
An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle, with one end higher than the other, used as an aid for raising or lowering a load.
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Integration using Euler's formula
In integral calculus, complex numbers and Euler's formula may be used to evaluate integrals involving trigonometric functions.
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Inverse trigonometric functions
In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains).
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John Napier
John Napier of Merchiston (1550 – 4 April 1617); also signed as Neper, Nepair; nicknamed Marvellous Merchiston) was a Scottish landowner known as a mathematician, physicist, and astronomer. He was the 8th Laird of Merchiston. His Latinized name was Ioannes Neper. John Napier is best known as the discoverer of logarithms. He also invented the so-called "Napier's bones" and made common the use of the decimal point in arithmetic and mathematics. Napier's birthplace, Merchiston Tower in Edinburgh, is now part of the facilities of Edinburgh Napier University. Napier died from the effects of gout at home at Merchiston Castle and his remains were buried in the kirkyard of St Giles. Following the loss of the kirkyard there to build Parliament House, he was memorialised at St Cuthbert's at the west side of Edinburgh.
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Kepler's laws of planetary motion
In astronomy, Kepler's laws of planetary motion are three scientific laws describing the motion of planets around the Sun.
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Lagrange's identity (disambiguation)
Lagrange's identity may refer to.
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Laplace transform
In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.
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Law of cosines
In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.
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List of logarithmic identities
In mathematics, there are many logarithmic identities.
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List of mathematical identities
This page lists mathematical identities, that is, identically true relations holding in mathematics.
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List of mathematics reference tables
See also: List of reference tables.
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List of things named after Joseph-Louis Lagrange
Several concepts from mathematics and physics are named after the mathematician and astronomer Joseph-Louis Lagrange, as are a crater on the moon and a street in Paris.
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List of things named after Pythagoras
This is a list of things named after Pythagoras, the ancient Greek philosopher, mystic, mathematician, and music theorist.
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List of triangle topics
This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal's triangle or triangular matrices, or concretely in physical space.
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List of trigonometric identities
In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables where both sides of the equality are defined.
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Lists of mathematics topics
This article itemizes the various lists of mathematics topics.
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Logarithm
In mathematics, the logarithm is the inverse function to exponentiation.
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Math Girls
is the first in a series of math-themed young adult novels of the same name by Japanese author Hiroshi Yuki.
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Metric tensor
In the mathematical field of differential geometry, a metric tensor is a type of function which takes as input a pair of tangent vectors and at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space.
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Minimum-shift keying
In digital modulation, minimum-shift keying (MSK) is a type of continuous-phase frequency-shift keying that was developed in the late 1950s and 1960s.
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Mnemonics in trigonometry
In trigonometry, it is common to use mnemonics to help remember trigonometric identities and the relationships between the various trigonometric functions.
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Morrie's law
Morrie's law is the trigonometric identity It is a special case of the more general identity with n.
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Nephroid
The nephroid (from the Greek ὁ νεφρός ho nephros) is a plane curve whose name means kidney-shaped (compare nephrology.) Although the term nephroid was used to describe other curves, it was applied to the curve in this article by Proctor in 1878.
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Optical flat
An optical flat is an optical-grade piece of glass lapped and polished to be extremely flat on one or both sides, usually within a few tens of nanometres (billionths of a meter).
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Orthoptic (geometry)
In the geometry of curves, an orthoptic is the set of points for which two tangents of a given curve meet at a right angle.
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Outline of geometry
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
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Outline of trigonometry
Trigonometry is a branch of mathematics that studies the relationships between the sides and the angles in triangles.
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Parallelogram law
In mathematics, the simplest form of the parallelogram law (also called the parallelogram identity) belongs to elementary geometry.
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Parent function
In mathematics, a parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
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Pentagon
In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.
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Plus-minus sign
The plus-minus sign (±) is a mathematical symbol with multiple meanings.
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Poisson–Boltzmann equation
The Poisson–Boltzmann equation is a useful equation in many settings, whether it be to understand physiological interfaces, polymer science, electron interactions in a semiconductor, or more.
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Polar sine
In geometry, the polar sine generalizes the sine function of angle to the vertex angle of a polytope.
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Precalculus
In mathematics education, precalculus is a course that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus.
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Product detector
A product detector is a type of demodulator used for AM and SSB signals.
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Project Mathematics!
Project Mathematics! (stylized as Project MATHEMATICS!), is a series of educational video modules and accompanying workbooks for teachers, developed at the California Institute of Technology to help teach basic principles of mathematics to high school students.
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Proofs of trigonometric identities
The main trigonometric identities between trigonometric functions are proved, using mainly the geometry of the right triangle.
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Prosthaphaeresis
Prosthaphaeresis (from the Greek προσθαφαίρεσις) was an algorithm used in the late 16th century and early 17th century for approximate multiplication and division using formulas from trigonometry.
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Pythagorean trigonometric identity
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions.
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Pythagorean triple
A Pythagorean triple consists of three positive integers,, and, such that.
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Range of a projectile
In physics, assuming a flat Earth with a uniform gravity field, and no air resistance, a projectile launched with specific initial conditions will have a predictable range.
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Rational trigonometry
Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales.
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Rifleman's rule
Rifleman's rule is a "rule of thumb" that allows a rifleman to accurately fire a rifle that has been calibrated for horizontal targets at uphill or downhill targets.
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Root mean square
In statistics and its applications, the root mean square (abbreviated RMS or rms) is defined as the square root of the mean square (the arithmetic mean of the squares of a set of numbers).
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Sine
In mathematics, the sine is a trigonometric function of an angle.
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Snellius–Pothenot problem
The Snellius–Pothenot problem is a problem in planar surveying.
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Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
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Tangent half-angle formula
In trigonometry, tangent half-angle formulas relate the tangent of half of an angle to trigonometric functions of the entire angle.
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Tangent half-angle substitution
In integral calculus, the tangent half-angle substitution is a substitution used for finding antiderivatives, and hence definite integrals, of rational functions of trigonometric functions.
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Theoretical gravity
In geodesy and geophysics, theoretical gravity or normal gravity is an approximation of the true effective or apparent gravity on Earth's surface by means of a mathematical model representing (a physically smoothed) Earth.
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Third-order intercept point
In telecommunications, a third-order intercept point (IP3 or TOI) is a measure for weakly nonlinear systems and devices, for example receivers, linear amplifiers and mixers.
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Time derivative
A time derivative is a derivative of a function with respect to time, usually interpreted as the rate of change of the value of the function.
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Triangulation (surveying)
In surveying, triangulation is the process of determining the location of a point by measuring only angles to it from known points at either end of a fixed baseline, rather than measuring distances to the point directly as in trilateration.
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Trigonometric constants expressed in real radicals
Exact algebraic expressions for trigonometric values are sometimes useful, mainly for simplifying solutions into radical forms which allow further simplification.
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Trigonometric functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.
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Trigonometric functions of matrices
The trigonometric functions (especially sine and cosine) for real or complex square matrices occur in solutions of second-order systems of differential equations.
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Trigonometric substitution
In mathematics, Trigonometric substitution is the substitution of trigonometric functions for other expressions.
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Trigonometric tables
In mathematics, tables of trigonometric functions are useful in a number of areas.
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Trigonometry
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles.
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Tycho Brahe
Tycho Brahe (born Tyge Ottesen Brahe;. He adopted the Latinized form "Tycho Brahe" (sometimes written Tÿcho) at around age fifteen. The name Tycho comes from Tyche (Τύχη, meaning "luck" in Greek, Roman equivalent: Fortuna), a tutelary deity of fortune and prosperity of ancient Greek city cults. He is now generally referred to as "Tycho," as was common in Scandinavia in his time, rather than by his surname "Brahe" (a spurious appellative form of his name, Tycho de Brahe, only appears much later). 14 December 154624 October 1601) was a Danish nobleman, astronomer, and writer known for his accurate and comprehensive astronomical and planetary observations.
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Uncertainty principle
In quantum mechanics, the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety of mathematical inequalities asserting a fundamental limit to the precision with which certain pairs of physical properties of a particle, known as complementary variables, such as position x and momentum p, can be known.
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Vaṭeśvara
Vaṭeśvara (वटेश्वर) (born 880), a tenth-century Indian mathematician from Kashmir who presented several trigonometric identities.
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Versine
The versine or versed sine is a trigonometric function already appearing in some of the earliest trigonometric tables.
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Viète's formula
In mathematics, Viète's formula is the following infinite product of nested radicals representing the mathematical constant pi: It is named after François Viète (1540–1603), who published it in 1593 in his work Variorum de rebus mathematicis responsorum, liber VIII.
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Wave interference
In physics, interference is a phenomenon in which two waves superpose to form a resultant wave of greater, lower, or the same amplitude.
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References
[1] https://en.wikipedia.org/wiki/List_of_trigonometric_identities
