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Fundamental trigonometric functions
In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle:
Sine_and_cosine
Topics referred to by the same term
Look up SINE in Wiktionary, the free dictionary. SINE can refer to : Short interspersed nuclear elements, a type of retrotransposon in DNA Selective inhibitors
SINE
Functions of an angle
trigonometric functions most commonly used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively
Trigonometric_functions
Wave shaped like the sine function
A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics, as a
Sine_wave
Topics referred to by the same term
Look up sine in Wiktionary, the free dictionary. Sine is a trigonometric function. Sine may also refer to: Maurice Sinet or Siné (1928–2016), a French
Sine_(disambiguation)
French cartoonist
(French pronunciation: [mɔʁis albɛʁ sine]; 31 December 1928 – 5 May 2016), known professionally as Siné (pronounced [sine]), was a French political cartoonist
Siné
Indispensable and essential action, condition, or ingredient
up sine qua non in Wiktionary, the free dictionary. A sine qua non (/ˌsaɪni kweɪ ˈnɒn, ˌsɪni kwɑː ˈnoʊn/, Latin: [ˈsɪnɛ kʷaː ˈnoːn]) or condicio sine qua
Sine_qua_non
Property of all triangles on a Euclidean plane
Law of sines In trigonometry, the law of sines (sometimes called the sine formula or sine rule) is a mathematical equation relating the lengths of the
Law_of_sines
Meeting closed without a date to reconvene
Adjournment sine die (Latin for 'without a date') is the conclusion of a meeting by a deliberative assembly, such as a legislature or organizational board
Adjournment_sine_die
Village in Dibër, Albania
Sinë (Albanian definite form: Sina), is a small village in Dibër, Albania. After the 2015 local government reforms, it became part of the municipality
Sinë
Device that changes direct current (DC) to alternating current (AC)
system. An inverter may produce a square wave, sine wave, modified sine wave, pulsed sine wave, or near-sine pulse-width modulated wave (PWM) depending on
Power_inverter
English-American actor (born 1947)
Guy Domville Siner (born October 16, 1947) is an English-American actor best known for his role as Lieutenant Hubert Gruber in 'Allo 'Allo! and Dr. Mittenhand
Guy_Siner
Variant Fourier transforms
mathematics, the Fourier sine and cosine transforms are integral equations that decompose arbitrary functions into a sum of sine waves representing the
Sine_and_cosine_transforms
Nonlinear partial differential equation
The sine-Gordon equation is a second-order nonlinear partial differential equation for a function φ {\displaystyle \varphi } dependent on two variables
Sine-Gordon_equation
27 BC–476/1453 AD state and civilization
throughout Europe, North Africa, and the Middle East. The Latin phrase imperium sine fine ("empire without end") expressed the ideology that neither time nor
Roman_Empire
Region of Senegal
14°11′N 16°15′W / 14.183°N 16.250°W / 14.183; -16.250 Sine-Saloum is a region in Senegal located north of the Gambia and south of the Petite Côte. It
Sine-Saloum
Municipality in Alentejo, Portugal
Sines (Portuguese pronunciation: [ˈsinɨʃ] ) is a town and a municipality in Portugal. The municipality, divided into two parishes, has around 14,214 inhabitants
Sines
Decomposition of periodic functions
example of a trigonometric series. By expressing a function as a sum of sines and cosines, many problems involving the function become easier to analyze
Fourier_series
Hyperbolic analogues of trigonometric functions
transfer, and fluid dynamics. The basic hyperbolic functions are: hyperbolic sine "sinh" (/ˈsɪŋ, ˈsɪntʃ, ˈʃaɪn/), hyperbolic cosine "cosh" (/ˈkɒʃ, ˈkoʊʃ/)
Hyperbolic_functions
Post-classical Serer kingdom in Senegal
The Kingdom of Sine (or Siin in Serer, variations: Sin or Siine) was a post-classical Serer kingdom along the north bank of the Saloum River delta in modern
Kingdom_of_Sine
Inverse functions of sin, cos, tan, etc.
suitably restricted domains. Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used
Inverse trigonometric functions
Inverse_trigonometric_functions
Romanian royal dynasty motto
Nihil sine Deo, Latin for "Nothing without God" (German: Nichts ohne Gott; Romanian: Nimic fără Dumnezeu), is used as a motto of the German Hohenzollern-Sigmaringen
Nihil_sine_Deo
Area of geometry, about angles and lengths
values for trigonometric ratios (also called trigonometric functions) such as sine. Throughout history, trigonometry has been applied in areas such as geodesy
Trigonometry
Latin expression meaning "without a name"
Sine nomine (abbreviated s.n.) is a Latin expression, meaning "without a name". It is most commonly used in the contexts of publishing and bibliographical
Sine_nomine
2012 video game
Sine Mora is a shoot 'em up video game developed by Digital Reality and Grasshopper Manufacture for the Xbox 360, Windows, PlayStation 3, PlayStation Vita
Sine_Mora
1993 studio album by Polygon Window
Surfing on Sine Waves is a studio album by the musician and producer Richard D. James under the alias Polygon Window. It is the only album released under
Surfing_on_Sine_Waves
Private university in Washington, D.C.
Creates the Sine Institute of Policy and Politics American University, Washington, DC, September 24, 2018 "President Sylvia Burwell Announces Sine Institute
American_University
Measuring instrument in metalworking
A sine bar consists of a hardened, precision ground body with two precision ground cylinders fixed at the ends. The distance between the centers of the
Sine_bar
Country in South Asia
Trigonometry was further advanced in India, and the modern definitions of sine and cosine were developed there. These mathematical concepts were transmitted
India
1 minus the cosine of an angle
Look up versine or versed sine in Wiktionary, the free dictionary. The versine or versed sine is a trigonometric function found in some of the earliest
Versine
Pathological topological space
the branch of mathematics known as topology, the topologist's sine curve or Warsaw sine curve is a topological space with several interesting properties
Topologist's_sine_curve
A Missa sine nomine, literally a "Mass without a name", is a musical setting of the Ordinary of the Mass, usually from the Renaissance, which uses no pre-existing
Missa_sine_nomine
Latin doctrine meaning "no penalty without law"
Nulla poena sine lege (Latin for "no penalty without law", Anglicized pronunciation: /ˈnʌlə ˈpiːnə ˈsaɪniː ˈliːdʒiː/ NUL-ə PEE-nə SY-nee LEE-jee) is a
Nulla_poena_sine_lege
Type of electronic circuit
produces a periodic, oscillating or alternating current (AC) signal, usually a sine wave, square wave or a triangle wave, powered by a direct current (DC) source
Electronic_oscillator
Special mathematical function defined as sin(x)/x
function of the first kind. The sinc function is also called the cardinal sine function. The sinc function has two forms, normalized and unnormalized. In
Sinc_function
Office or job with a salary but which requires little to no actual responsibility
free dictionary. A sinecure (/ˈsɪnɪkjʊər/ or /ˈsaɪnɪkjʊər/; from the Latin sine, 'without', and cura, 'care') is a position with a salary or otherwise generating
Sinecure
First sine table ever constructed
Āryabhata's sine table is a set of twenty-four numbers given in the astronomical treatise Āryabhatiya composed by the fifth century Indian mathematician
Āryabhaṭa's_sine_table
Influence on an oscillating physical system which reduces or prevents its oscillation
from the sine wave. A given sinusoidal waveform may be of intermediate phase, having both sine and cosine components. The term "damped sine wave" describes
Damping
Group of autoimmune diseases resulting in abnormal growth of connective tissue
Scleroderma is a group of autoimmune diseases that may result in changes to the skin, blood vessels, muscles, and internal organs. The disease can be either
Scleroderma
Viral disease caused by the varicella zoster virus
belt-like pattern on one side of the body and not crossing the midline. Zoster sine herpete ("zoster without herpes") describes a person who has all of the symptoms
Shingles
Latin-based international auxiliary language
Latino sine flexione ("Latin without inflections"), Interlingua de Academia pro Interlingua (IL de ApI) or Peano's Interlingua (abbreviated as IL) is an
Latino_sine_flexione
Niger–Congo language spoken in Senegal and Gambia
Serer, often broken into differing regional dialects such as Serer-Sine and Serer-Saloum, is a language of the Senegambian branch of the Niger–Congo family
Serer_language
2000 studio album by Omnia
Sine Missione (Latin: Without mercy) is the first album by Dutch Pagan folk band Omnia, recorded in 1999 and released in 2000. It was supposed to be an
Sine_Missione
Philippine television series
Sine Novela (transl. cinema novel) is a Philippine television drama series broadcast by GMA Network. The series is a television adaptation of the Philippine
Sine_Novela
functions (sine, cosine, tangent, cotangent, secant, cosecant) with complete proofs, and formulated the plane and spherical law of sines, the form still
History_of_trigonometry
California winery
Sine Qua Non (commonly abbreviated as SQN) is a California winery that is known for its limited-production and expensive wines made from blends of Rhône
Sine_Qua_Non_(wine)
Type of quadrant used by medieval Arabic astronomers
A sine quadrant (Arabic: الربع المجيب, romanized: rub‘ul mujayyab), sometimes known as a "sinecal quadrant", was a type of quadrant used by medieval Arabic
Sine_quadrant
Symbol of opposition to the 2022 Russian invasion of Ukraine
The white-blue-white flag (Russian: бело-сине-белый флаг, romanized: belo-sine-belyy flag) is a symbol of opposition to the Russian invasion of Ukraine
White-blue-white_flag
Formula to estimate the sine function
I's sine approximation formula is a rational expression in one variable for the computation of the approximate values of the trigonometric sines discovered
Bhāskara I's sine approximation formula
Bhāskara_I's_sine_approximation_formula
Generalizes sine function to polytopes
In geometry, the polar sine generalizes the sine function of angle to the vertex angle of a polytope. It is denoted by psin. Let v1, ..., vn (n ≥ 1) be
Polar_sine
Function used in signal processing
transient signal in modal analysis, such as an impulse, a shock response, a sine burst, a chirp burst, or noise burst, where the energy vs time distribution
Window_function
Topics referred to by the same term
Siner may refer to: Siner, Chuvash Republic, a village in the Chuvash Republic, Russia Siner, Republic of Tatarstan, a settlement in the Republic of Tatarstan
Siner
integral with a trigonometric identity. The basic relationship between the sine and cosine is given by the Pythagorean identity: sin 2 θ + cos 2 θ =
List of trigonometric identities
List_of_trigonometric_identities
2001 American comedy film by Louis C.K.
Costas as himself Originally a Paramount Classics film titled Pootie Tang in Sine Your Pitty on the Runny Kine, the budget was increased and transferred to
Pootie_Tang
Radio station in England
Sine FM, sometimes known simply as Sine, is a community radio station based near the Eco-Power Stadium in Doncaster. It broadcasts 24/7 to the Metropolitan
Sine_FM
Complex exponential in terms of sine and cosine
trigonometric functions cosine and sine respectively. This complex exponential function is sometimes denoted cis x ("cosine plus i sine"). The formula is still valid
Euler's_formula
2020 song by Lady Gaga and Elton John
"Sine from Above" is a song by American singer Lady Gaga and English musician Elton John from the former's sixth studio album, Chromatica (2020). It is
Sine_from_Above
The Liber sine nomine (The Book without a Name) is a collection of nineteen personal letters written in Latin by the fourteenth century Italian poet and
Liber_sine_nomine
Transform in mathematics
In mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real
Discrete_sine_transform
Title for the King of Sine in the Serer language
(variations : Mad a Sinig, 'Maad Sine, Maat Sine, Bour Sine, Bur Sine, etc.) means king of Sine. The ancient Kingdom of Sine, now part of Senegal, was a pre-colonial
Maad_a_Sinig
West African ethnoreligious group and nation
Gambia) Mauritania: 5,000 The Seex (also called Sine-Sine, Serer, Seh, Seeh, or Serer-Sine) occupy the Sine and Saloum areas, now part of modern-day independent
Serer_people
Soft redirect to Wiktionary
have an article on "Sinic", but its sister project Wiktionary does: Read the Wiktionary entry "Sinic" You can also: Search for Sinic in Wikipedia to check
Sinic
Country in West Africa
(the Maad a Sinig, King of Sine), resulting in the famous Battle of Logandème―the battle in which the Serer King of Sine went to war against the French
Senegal
This is the list of episodes of GMA Network's daytime drama Sine Novela. "Sinasamba Kita plot summary" imdb.com "Kung Mahawi Man Ang Ulap" Plot Outline
List_of_Sine_Novela_episodes
King of Sine (1810–1871)
1871) was the King of Sine in modern-day Senegal. The Serer title Maad a Sinig means king of Sine, that is, the Kingdom of Sine. He ruled from 1853 until
Kumba_Ndoffene_Famak_Joof
Type of marriage in ancient Rome
two forms: cum manu and sine manu. In a cum manu marriage, the wife was placed under the legal control of the husband. In a sine manu marriage, the wife
Manus_marriage
Mathematical memory aids
identities and the relationships between the various trigonometric functions. The sine, cosine, and tangent ratios in a right triangle can be remembered by representing
Mnemonics_in_trigonometry
Indian actress and former Chief Minister of Tamil Nadu (1948–2016)
attended was on 2 September 2016, after which the Assembly was adjourned sine die. The session had been held from 1 August for the demands for grants and
J._Jayalalithaa
Special function defined by an integral
nonelementary integrals involving trigonometric functions. The different sine integral definitions are Si ( x ) = ∫ 0 x sin t t d t {\displaystyle
Trigonometric_integral
Roman emperor from 27 BC to AD 14
divine sanction in Virgil's Aeneid, in which Jupiter promises Rome imperium sine fine ('sovereignty without end'). By the end of Augustus's reign, his armies
Augustus
Christian church based in Rome
Missa Sicca Ritual Coronation Papal Requiem Nuptial Solemn Pontifical Papal Sine populo Votive Red Order Pre-Mass Vesting prayers Asperges me Vidi aquam in
Catholic_Church
Mathematical table
missing conjuncts instead of Indic text. Madhava's sine table is the table of trigonometric sines constructed by the 14th century Kerala mathematician-astronomer
Madhava's_sine_table
Special cases of the Fourier series
mathematics, particularly the field of calculus and Fourier analysis, the Fourier sine and cosine series are two mathematical series named after Joseph Fourier
Fourier sine and cosine series
Fourier_sine_and_cosine_series
Circle with radius of one
number is called a phase factor. The trigonometric functions cosine and sine of angle θ are defined using the unit circle. In this geometric construction
Unit_circle
Danish opera singer
Sine Merrild Bundgaard (born 15 January 1970) is a Danish soprano. She was born in Aarhus. Educated at the Royal Danish Academy of Music and the Danish
Sine_Bundgaard
Circle derived from a triangle
In triangle geometry, the sine-triple-angle circle is one of many circles that can be defined from a triangle. For triangle ABC, let A1 and A2 be points
Sine-triple-angle_circle
Danish chemist and crystallographer (1943–2025)
Professor Sine Ydun Larsen (née Blus-Pedersen, 28 May 1943 – 4 January 2025) was a Danish structural chemist, crystallographer and scientific director
Sine_Larsen
Mathematical functions
by Leonhard Euler and Carl Friedrich Gauss, among others. The lemniscate sine and lemniscate cosine functions, usually written with the symbols sl and
Lemniscate_elliptic_functions
Country in Southwestern Europe
with passenger services operated by Comboios de Portugal (CP). The Port of Sines is the leading Portuguese port in cargo handling volumes and the country's
Portugal
Type of genetic component
interspersed nuclear elements (LINE) and short interspersed nuclear elements (SINE). SINE-R, variable number tandem repeat (VNTR) and Alu (SVA) elements are the
Retrotransposon
American singer, songwriter and actress (born 1986)
Voce Viva fragrance, singing a stripped-down version of Chromatica track "Sine from Above", along with a group of models. Having endorsed Joe Biden in the
Lady_Gaga
Type of nucleic acid sequence
Short interspersed nuclear elements (SINEs) are non-autonomous, non-coding transposable elements (TEs) that are about 100 to 700 base pairs in length
Short interspersed nuclear element
Short_interspersed_nuclear_element
2003 video game
Sine Requie (Latin words for "No rest","Restless") is an Italian horror role-playing game, written by Matteo Cortini and Leonardo Moretti and whose first
Sine_Requie
Political slogan originating in Central Europe
"Nothing about us without us" (Latin: Nihil de nobis, sine nobis) is a slogan used to communicate the idea that no policy should be decided by any representative
Nothing_about_us_without_us
Design rule for optical systems
In optics, the Abbe sine condition is a condition that must be fulfilled by a lens or other optical system in order for it to produce sharp images of off-axis
Abbe_sine_condition
Geometry of figures on the surface of a sphere
identity of spherical trigonometry: all other identities, including the sine rule, may be derived from the cosine rule: cos a = cos b cos c + sin
Spherical_trigonometry
British musician and songwriter (born 1947)
on Osbourne's album of the same name. On 29 May his duet with Lady Gaga, "Sine from Above", from her album Chromatica, was released. John released Regimental
Elton_John
Mathematical functions
inverse circular functions. There are six in common use: inverse hyperbolic sine, inverse hyperbolic cosine, inverse hyperbolic tangent, inverse hyperbolic
Inverse_hyperbolic_functions
No day without a single line
Nulla dies sine linea is a Latin phrase meaning "no day without a line". The idea was originated by Pliny the Elder (Natural History, XXXV, 84), where
Nulla_dies_sine_linea
Gradual retinal degeneration leading to progressive sight loss
Retinitis pigmentosa (RP) is a member of a group of genetic disorders called inherited retinal dystrophy (IRD) that cause loss of vision. Symptoms include
Retinitis_pigmentosa
Level of citizenship in the Roman Republic
Civitas sine suffragio (Latin, "citizenship without the vote") was a level of citizenship in the Roman Republic which granted all the rights of Roman citizenship
Civitas_sine_suffragio
Mathematical technique for manipulating signals
it is possible to create an arbitrarily phase-shifted sine wave, by mixing together two sine waves that are 90° out of phase in different proportions
In-phase and quadrature components
In-phase_and_quadrature_components
Array that replaces runtime computation with a simpler array indexing operation
example: real array sine_table[-1000..1000] for x from -1000 to 1000 sine_table[x] = sine(pi * x / 1000) function lookup_sine(x) return sine_table[round(1000
Lookup_table
River in Senegal
14.16°N 16.45°W / 14.16; -16.45 The River Sine or Sine River (Siin in Serer language; La Rivière Sine in French language) is a river in Senegal. It
Sine_River
Simplification of the basic trigonometric functions
For small angles, the trigonometric functions sine, cosine, and tangent can be calculated with reasonable accuracy by the following simple approximations:
Small-angle_approximation
Topics referred to by the same term
Look up sine qua non in Wiktionary, the free dictionary. Sine qua non is a Latin phrase that refers to indispensable and essential action, condition,
Sine_qua_non_(disambiguation)
Trigonometric functions introduced by Indian mathematicians and astronomers
to the modern trigonometric functions of sine and cosine. In fact, the origins of the modern terms of "sine" and "cosine" have been traced back to the
Jyā,_koti-jyā_and_utkrama-jyā
Country in South America
Bolívar" (in Spanish). sinic.gov.co. Archived from the original on 9 May 2016. Retrieved 25 May 2016. "Ritmos – Cesar" (in Spanish). sinic.gov.co. Archived
Colombia
Senegalese historian
politician whose family gained prominence in the Serer precolonial Kingdom of Sine and Saloum around the 14th century. They also made up the "sulbalƃe" class
Alioune_Sarr
Steady periodic sound in music
waveform can be approximated as closely as desired as the sum of a series of sine waves with frequencies in a harmonic series and at specific phase relationships
Musical_tone
SINE
SINE
Girl/Female
Irish
Irish form of Jane “God is gracious.â€
Girl/Female
Gaelic Irish Scottish
Surname or Lastname
English
English : in all probability an English variant of Scottish Lachlan (see McLachlan), altered through folk etymology. However, Black cites one John sine terra (c. 1180–1214), suggesting that the surname could have arisen quite literally as a nickname for a man with no land.
Girl/Female
Irish
An Irish form of Jane “God is gracious†and may be a shortened form of Sinead.
Surname or Lastname
English
English : unexplained.
Male
Welsh
Welsh name, possibly derived from proto-Celtic *bod(o)-wid-r, BEDWYR means "grave-knower," inferring that he was "the one who knows (Arthur's) grave." In Arthurian legend, this is the name of a Knight of the Round Table who returned Excalibur to the Lady of the Lake after King Arthur's death. Described as being one-handed, he was still an excellent warrior. In Welsh, his full name was Bedwyr Bedrydant, meaning "Bedivere of the Perfect Sinews."Â
Girl/Female
Irish
Irish form of Jane “God is gracious.â€
Girl/Female
Hebrew English Irish
Kind.
Girl/Female
Irish
From sorcha meaning “bright, radiant, light.†Popular in the Middle Ages, the name has become popular again in recent years partly due to the success of the Irish actress Sorcha Cusack in Britain. Incidentally, her actor sisters are named Sinead and Niamh.
Girl/Female
Irish
Irish form of Jane “God is gracious.â€
Girl/Female
Irish
An Irish form of Jane “God is gracious†and may be a shortened form of Sinead.
Girl/Female
Australian, Hebrew, Irish
The Lord is Gracious; Praise; Kind; Female Version of John
Girl/Female
Irish
Irish form of Jane “God is gracious.â€
Male
English
Anglicized form of Welsh Bedwyr, possibly BEDIVERE means "grave-knower," inferring "one who knows (Arthur's) grave." In Arthurian legend, this is the name of a Knight of the Round Table who returned Excalibur to the Lady of the Lake after King Arthur's death. Described as being one-handed, he was still an excellent warrior. In Welsh, his full name was Bedwyr Bedrydant, meaning "Bedivere of the Perfect Sinews."
Girl/Female
Irish
Praise.
SINE
SINE
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit
Perfect; Fame
Boy/Male
Indian, Punjabi, Sikh
Firm and Brave
Boy/Male
Tamil
Trishulin | தà¯à®°à®¿à®·à¯à®²à®¿à®¨
One who has a trident in his hands, Lord Shiva
Girl/Female
Indian
Pretty, Beautiful
Female
Hebrew
Variant spelling of Hebrew Menucha, MENUHA means "tranquility."
Boy/Male
Norse Scandinavian
A mythical monster wolf.
Boy/Male
Tamil
Shiva Kumar | ஷிவகà¯à®®à®¾à®°
Son of Lord Shiva (Ganesh, Kartikeya) shivanandan
Male
Italian
Italian form of German Ludwig, LODOVICO means "famous warrior."
Girl/Female
Indian, Punjabi, Sikh
Our
Girl/Female
Hindu
A flower
SINE
SINE
SINE
SINE
SINE
n.
Any definite quantity, or aggregate of quantities or magnitudes taken as one, or for which 1 is made to stand in calculation; thus, in a table of natural sines, the radius of the circle is regarded as unity.
n.
One who has a sinecure.
a.
Well braced with, or as if with, sinews; nervous; vigorous; strong; firm; tough; as, the sinewy Ajax.
a.
Sinewy.
a.
Having the sinews under the belly shrunk by excessive fatigue.
v. t.
To deprive of sinews or of strength.
a.
Having no sinews; hence, having no strength or vigor.
a.
Furnished with sinews; as, a strong-sinewed youth.
v. t.
To put or place in a sinecure.
p. pr. & vb. n.
of Sinew
imp. & p. p.
of Sinew
n.
The perpendicular itself. See Sine of angle, below.
a.
Sinewy.
a.
Of or pertaining to a sinecure; being in the nature of a sinecure.
n.
The state of having a sinecure.
n.
The distance from a point in a curve to the chord; also, the versed sine of an arc; -- so called from its resemblance to an arrow resting on the bow and string.
n.
Quality of being sinewy.
a.
Pertaining to, consisting of, or resembling, a sinew or sinews.
v. t.
To knit together, or make strong with, or as with, sinews.