Merge from List of trigonometry topics date November 2011 The following outline is provided as an overview of and topical guide to trigonometryTrigonometry &ndash branch of mathematics that studies triangle s and the relationships between their sides and the angles between these sides. Trigonometry defines the trigonometric functions , which describe those relationships and have applicability to cyclical phenomena, such as waves. Fields that use trigonometry main Uses of trigonometry 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 Outline of physical science Physical science Probability theory Seismology Statistics Surveying History of trigonometry main Trigonometry Early history of trigonometry l1 History of trigonometry Law of cosines History History of the law of cosines History of trigonometryTrigonometry in calculus ... Trigonometric substitution Trigonometry scholars Pythagoras Lists main List of trigonometry topics ... symbols External links Wikibooks Trigonometry http www.clarku.edu djoyce trig Dave s short trig course http www.ping.be ping1339 gonio.htm An introduction to trigonometry http catcode.com trig index.html Trigonometry FAQ http www.pupress.princeton.edu books maor Trigonometric Delights , by Eli ... baqaqi.chi.il.us buecher mathematics trigonometry index.html Trigonometry by Alfred Monroe Kenyon ... index.php?page trig Trigonometry on PlainMath.net Trigonometry Articles from PlainMath.Net http www.mathwords.com index trig.htm Trigonometry on Mathwords.com index of trigonometry entries on Mathwords.com ... Banneker s Trigonometry Puzzle at http mathdl.maa.org convergence 1 Convergence outline footer Category Outlines Trigonometry Category Trigonometry Category Mathematics related lists Trigonometry pt Anexo ... more details
In mathematics, hyperbolic trigonometry can mean The use of the hyperbolic function s The use of gyrotrigonometry in hyperbolic geometry Mathdab ... more details
Ordinary trigonometry studies triangle s in the Euclidean space euclidean plane R sup 2 sup . There are a number ... other than the real numbers of euclidean geometry. Generally, trigonometry can be the study of triples ... solid angle s and polytopes such as tetrahedron s and n simplex n simplices . Trigonometry In spherical trigonometry , triangles on the surface of a sphere are studied. The spherical triangle identities ... . Hyperbolic trigonometry 1 Study of hyperbolic triangle s in hyperbolic geometry with hyperbolic ... t , sinh t . 3 Gyrotrigonometry A form of trigonometry used in the gyrovector space ... Universal hyperbolic trigonometry ref citation arxiv 0909.1377 title Universal Hyperbolic Geometry I Trigonometry first N. J. last Wildberger year 2009 . ref an algebraic approach based on Rational trigonometry . Rational trigonometry a reformulation of trigonometry in terms of spread and quadrance rather than angle and length . Trigonometry in Galois fields Trigonometry for taxicab geometry ref citation url http www.physics.orst.edu tevian taxicab taxicab.pdf title Taxicab angles and trigonometry ... 0305 4470 33 24 309 issue 24 journal Journal of Physics A mr 1768742 pages 4525 4551 title Trigonometry of spacetimes a new self dual approach to a curvature signature in dependent trigonometry volume 33 year 2000 . ref Fuzzy qualitative trigonometry ref citation url http userweb.port.ac.uk liuh Papers LiuCoghill05c SMC.pdf contribution Fuzzy Qualitative Trigonometry first1 Honghai last1 Liu ... year 2005 volume 2 pages 1291 1296 . ref Operator trigonometry ref citation url http www.ict.nsc.ru jct getfile.php?id 159 title A computational trigonometry, and related contributions by Russians ... issue 3 pages 73 83 year 1999 . ref Lattice trigonometry ref citation last Karpenkov first Oleg arxiv ... of lattice trigonometry volume 102 year 2008 . ref Trigonometry on symmetric spaces ref citation last1 Aslaksen first1 Helmer last2 Huynh first2 Hsueh Ling contribution Laws of trigonometry in symmetric ... more details
Infobox Album See Wikipedia WikiProject Albums Name Trigonometry Type album Artist Saafir Cover Mr. No No No.jpg Released January 20, 1998 Recorded 1997 Genre Hip Hop Length 50 16 Label Wrap Ichiban Records br small WRA 8163 small Producer Saafir br Shock G br JZ br J Groove Reviews Allmusic Rating 3 5 Allmusic class album id r332059 pure url yes link Last album Boxcar Sessions br 1994 This album Trigonometry br 1998 Next album The Hit List Saafir album The Hit List br 1999 Trigonometry is the second album by Saafir , under the alias Mr. No No. It was released on January 20, 1998, on Wrap Records and featured production from Saafir and Shock G . Track listing I m Saafir The Saucee Nomad 4 08 Major Knock 4 48 Goin Home 4 53 Stay Hi 4 08 J.Z. Theme 3 42 Broad Minded 4 56 Sendin U Signals 4 06 Street Scene 4 13 Birthday Suit 3 02 Just Ridin 3 48 In a Vest 4 15 Rock the Show 4 30 Samples Street Scene Memory Lane by Minnie Riperton 1990s hiphop album stub Category 1998 albums Category Saafir albums Category Ichiban Records albums ... more details
Onesource date January 2009 Rational trigonometry is a recently introduced approach to trigonometry that eschews ... geometric configurations, notably triangles. Rational trigonometry was introduced by Prof. Norman J. Wildberger in his 2005 book Divine Proportions Rational Trigonometry to Universal Geometry . The book ... is that the field of trigonometry is being taught and applied using choices in measurements and relations ... . Quadrance and spread Instead of distance and angle , rational trigonometry uses as its fundamental ... name horizons Cite journal first Norman J. last Wildberger title A Rational Approach to Trigonometry ..., in a typical trigonometry problem if rational numbers are assigned to all quadrances and spreads ..., Wildberger refers to the traditional trigonometry as classical trigonometry. It is otherwise ... of rational trigonometry is, applications aside, a special instance of the description of geometry ... who are first learning trigonometry are often not taught about the use of linear algebra ... comments . Trigonometry over arbitrary fields Rational trigonometry makes it possible to do trigonometry ... compared to angle In rational trigonometry, spread is a fundamental concept, somewhat but not precisely ... trigonometry Wildberger states that there are five basic laws in rational trigonometry. He also ... A sub 3 sub , respectively. As in classical trigonometry, if we know three of the six elements ... rational trigonometry or derived from Heron s formula, using the condition for collinearity that the triangle ... is framed in the terms of rational trigonometry. The spread of an angle is the square of its sine ... equation, so it is more inconvenient than the analogue in classical trigonometry. Calculating quadrance ... 1 2 a 1 2 b 1 2 a 2 2 b 2 2 . , math Ease of calculation Rational trigonometry makes some problems ... such as square roots, sine, and cosine compared with classical trigonometry . Such algorithms ... 2008 , http www.cs.utep.edu vladik 2008 olg08 01.pdf Rational trigonometry computational viewpoint ... more details
Image RechtwKugeldreieck.svg frame right Spherical triangle Spherical trigonometry is a branch of spherical geometry which deals with polygon s especially triangle s on the sphere and the relationships between the sides and the angle s. This is of great importance for calculations in astronomy and earth surface, orbital and space navigation . History See also History of trigonometry Spherical triangles were studied by early Greek mathematics Greek mathematicians such as Menelaus of Alexandria , who wrote a book on spherical triangles called Sphaerica and developed Menelaus theorem . ref MacTutor ... of Trigonometry journal 31st Yearbook publisher National Council of Teachers of Mathematics, Washington ... in spherical trigonometry and wrote a treatise on the subject. ref name MacTutor Khwarizmi MacTutor ... a b , and discovered the Law of sines sine formula for spherical trigonometry ref name Sesiano 157 Jacques ... the first treatise on spherical trigonometry, circa 1060, entitled The book of unknown arcs of a sphere , ref name MacTutor Al Jayyani in which spherical trigonometry was brought into its modern ... to treat trigonometry as a mathematical discipline independent from astronomy, and he further developed spherical trigonometry, bringing it to its present form. ref name Britannica Cite web title trigonometry url http www.britannica.com EBchecked topic 605281 trigonometry publisher Encyclop dia Britannica ... trigonometry. In his On the Sector Figure , he also stated the law of sines for plane and spherical ... References Reflist Isaac Todhunter Spherical Trigonometry For the Use of Colleges and Schools . Macmillan ... links http mathworld.wolfram.com SphericalTrigonometry.html Wolfram s mathworld Spherical Trigonometry ... 0&view 50 Spherical Trigonometry &mdash for the use of colleges and schools by I. Todhunter, M.A. ... of Girard s Theorem by Okay Arik, the Wolfram Demonstrations Project . DEFAULTSORT Spherical Trigonometry Category Spherical trigonometry br Trigonometriezh sferek ca Trigonometria esf rica de Sph rische ... more details
Amongst the lay public of non mathematicians and non scientists, trigonometry is known chiefly for its application to measurement problems, yet is also often used in ways that are far more subtle, such as its place in the music theory theory of music still other uses are more technical, such as in number theory . The mathematical topics of Fourier series and Fourier transforms rely heavily on knowledge of trigonometric functions and find application in a number of areas, including statistics . Thomas Paine s statement of the uses of trigonometry In Chapter XI of The Age of Reason , the American ... bodies, are contained chiefly in that part of science that is called trigonometry, or the properties ... uses are unknown. Some modern uses Scientific fields that make use of trigonometry include acoustics ... , probability theory , seismology , statistics , and visual perception That these fields involve trigonometry does not mean knowledge of trigonometry is needed in order to learn anything about them. It does mean that some things in these fields cannot be understood without trigonometry. For example ... listed above it is easy to imagine how trigonometry could be used. For example, in navigation and land surveying, the occasions for the use of trigonometry are in at least some cases simple enough that they can be described in a beginning trigonometry textbook. In the case of music theory, the application of trigonometry is related to work begun by Pythagoras, who observed that the sounds ... of trigonometry in more advanced ways than can be discussed in a single article. Often those involve ... of a connection between trigonometry and number theory. Loosely speaking, one could say ... frac 37 42 , qquad frac 41 42 . math Then bring in trigonometry math cos left 2 pi cdot frac 1 ... s can be solved using trigonometry. For example, a Recurrence relation General methods linear ... Trigonometry Category Mathematical problem solving fr Applications de la trigonom trie hi ... more details
Trigonometry History of science Trigonometry is a field of mathematics first compiled by 2nd century BCE by the Greek mathematician Hipparchus . The history of trigonometry and of trigonometric functions ... of trigonometry continued in Islamic mathematics , whence it was adopted as a separate subject in the Latin West beginning in the Renaissance with Regiomontanus . The development of modern trigonometry ... 1748 . Etymology The term trigonometry derives from the Greek language Greek trigonometria ... chord in trigonometry, and the Arabs had taken this over as jiba. In the Arabic language there is also .... The Hindus had given the name jiva to the half chord in trigonometry, and the Arabs had taken this over ... last Boyer authorlink Carl Benjamin Boyer title year 1991 chapter Greek Trigonometry and Mensuration ... small parts and second small parts . Development Early trigonometry The ancient Egyptian mathematics ... called trilaterometry . ref name Boyer Early Trigonometry cite book last Boyer authorlink Carl Benjamin Boyer title year 1991 chapter Greek Trigonometry and Mensuration pages 158 159 quote Trigonometry ... be called trilaterometry, or the measure of three sided polygons trilaterals , than trigonometry ... and the relative distances of the sun and the moon. In the works of Euclid there is no trigonometry ... table . The Egyptians, on the other hand, used a primitive form of trigonometry for building pyramid ... scribe Ahmes c. 1680 1620 BC , contains the following problem related to trigonometry ref name Maor ... Menelaus of Alexandria Although there is no trigonometry in the works of Euclid and Archimedes , in the strict ... way that are equivalent to specific trigonometric laws or formulas. ref name Boyer Early Trigonometry ... for sines of sums and differences of angles. ref name Boyer Early Trigonometry To compensate ... by Hipparchus of znik Nicaea 180 125 BC , who is now consequently known as the father of trigonometry ... Trigonometry and Mensuration quote For some two and a half centuries, from Hippocrates to Eratosthenes ... more details
In trigonometry , it is common to use mnemonic s to help remember trigonometric identities and the relationships between the various trigonometric functions . For example, the sine , cosine , and tangent ratios in a right triangle can be remembered by representing them as strings of letters, for instance SOH CAH TOA in English S ine O pposite H ypotenuse C osine A djacent H ypotenuse T angent O pposite A djacent One way to remember the letters is to sound them out phonetically i.e. SOH CAH TO A . ref MathWorld title SOHCAHTOA urlname SOHCAHTOA ref Another method is to expand the letters into a sentence, such as S ome O ld H ippy C aught A nother H ippy T rippin O n A cid . ref A sentence that is more appropriate for high school is, Some old horse came a hopping through our alley. cite book title Memory A Very Short Introduction first Jonathan K. last Foster publisher Oxford year 2008 isbn 0192806750 page 128 ref Mnemonic chart Unreferenced section date June 2011 Another mnemonic permits all of the basic identities to be read off quickly. Although the word part of the mnemonic used to build the chart does not hold in English, the chart itself is fairly easy to reconstruct with a little thought. Functions appear on the left, co functions on the right, a 1 goes in the middle, triangles point down, and the entire drawing looks like a radiation symbol. File Trigonometric identity mnemonic.png thumb Trigonometric identities mnemonic Reading across the central 1 in any direction gives reciprocal identities math begin array ccc 1 over sin A csc A & text or & 1 over csc A sin A 1 over tan A cot A & text or & 1 over cot A tan A 1 over sec A cos A & text or & 1 over cos A sec A end array math Reading down any triangle gives the standard identities starting at the top and going clockwise math sin 2 A cos 2 A 1 math math 1 cot 2 A csc 2 A math math tan 2 A 1 sec 2 A math Reading a function ... References reflist Category Trigonometry Category Mnemonics ... more details
Merge to Outline of trigonometry date November 2011 This is a list of trigonometry topics , by Wikipedia page. Some topics appear in more than one section below. 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 pi pi pi Ptolemy s theorem Pythagorean theorem Radian Right angle Thales theorem Trigonometric function Triangle also see List of triangle ... Conway triangle notation Exact trigonometric constants Generalized trigonometry Gudermannian function Lissajous curve Polar sine Rational trigonometry Spread polynomials Numerical mathematics Abbe error ... angle maximization problem Spherical trigonometry main Spherical trigonometry Half side formula ... polynomial Trigonometric series Trigonometry in Galois fields Trigonometry in science and engineering main Uses of trigonometry Physics Abbe sine condition Greninger chart Phasor Snell s law ... History of trigonometry Aristarchus inequality ryabha a s sine table Bhaskara I s sine approximation ... in trigonometry All Students Take Calculus See also List of exponential topics Hyperbolic function External links Wikibooks Trigonometry http www.clarku.edu djoyce trig Dave s short trig course http www.ping.be ping1339 gonio.htm An introduction to trigonometry http catcode.com trig index.html Trigonometry FAQ http www.pupress.princeton.edu books maor Trigonometric Delights , by Eli Maor , Princeton ... buecher mathematics trigonometry index.html Trigonometry by Alfred Monroe Kenyon and Louis Ingold ... trig Trigonometry on PlainMath.net Trigonometry Articles from PlainMath.Net http www.mathwords.com index trig.htm Trigonometry on Mathwords.com index of trigonometry entries on Mathwords.com http mathdl.maa.org convergence 1 ?pa content&sa viewDocument&nodeId 212&bodyId 81 Benjamin Banneker s Trigonometry ... Trigonometry Category Trigonometry ar ... more details
Expert subject Mathematics date November 2008 In mathematics , trigonometry analogies are supported by the theory of quadratic extension s of finite field s, also known as Galois fields. The main motivation to deal with a finite field trigonometry is the power of the discrete transform s, which play an important role in engineering and mathematics. Significant examples are the well known discrete trigonometric transforms DTT , namely the discrete cosine transform and discrete sine transform , which have found many applications in the fields of digital signal and image processing . In the real DTTs, inevitably, rounding is necessary, because the elements of its transformation matrices are derived from the calculation of sines and cosines. This is the main motivation to define the cosine transform over prime finite fields . In this case, all the calculation is done using integer arithmetic. In order to construct a finite field transform that holds some resemblance with a DTT or with a discrete transform that uses trigonometric function s as its kernel, like the discrete Hartley transform , it is firstly necessary to establish the equivalent of the cosine and sine functions over a finite structure. Trigonometry over a Galois field The set GI q of gaussian integer s over GF q plays an important role in the trigonometry over finite fields hereafter the symbol denotes equal by definition . GI q a jb , a , b &isin GF q q p sup r sup , r being a positive ..., the conversion rectangular to polar form is possible. The similarity with the trigonometry over the field .... Back to the GF p trigonometry In the above, if the choice of math zeta math is careless, the trigonometric ... field transforms. Now, to play with a trigonometry over GF 7 on the unit circle, it seems much more ... de Souza, H. M. de Oliveira and A. N. Kauffman, Trigonometry in Finite Fields and a New Hartley ... fields Category Trigonometry ... more details
Unreferenced date December 2009 A spherical angle is a particular dihedral angle it is the angle between two intersecting arcs on a sphere , and is measured by the angle between the planes containing the arcs which would naturally also contain the centre of the sphere . See also Spherical trigonometry DEFAULTSORT Spherical Angle Category Spherical trigonometry pt ngulo esf rico ... more details
In trigonometry , Aristarchus inequality , named after the ancient astronomer Aristarchus of Samos , states that if &alpha and &beta are acute angle s i.e. between 0 and a right angle and &beta &alpha then math frac sin alpha sin beta frac alpha beta frac tan alpha tan beta . math The first of these inequalities was used by Ptolemy in constructing Ptolemy s table of chords his table of chords . ref name toomer Citation title Ptolemy s Almagest last1 Toomer first1 G. J. authorlink Gerald J. Toomer publisher Princeton University Press p. 54 year 1998 ISBN 0 691 00260 6 ref Notes and references Reflist External links http www.math.uconn.edu leibowitz math2720s11 Greek Trig.pdf Hellenistic Astronomers and the Origins of Trigonometry, by Professor Gerald M. Leibowitz geometry stub Category Trigonometry Category Inequalities ... more details
Image Triangle with notations 2.svg thumb 198px right Figure 1 &ndash A triangle. The angles &alpha , &beta , and &gamma are respectively opposite the sides a , b , and c . Trigonometry In trigonometry , Mollweide s formula , sometimes referred to in older texts as Mollweide s equations , ref Ernest Julius Wilczynski, Plane Trigonometry and Applications , Allyn and Bacon, 1914, page 102 ref named after Karl Mollweide , is a set of two relationships between sides and angles in a triangle. ref Michael Sullivan, Trigonometry , Dellen Publishing Company, 1988, page 243. ref It can be used to check solution of triangles solutions of triangles . ref Ernest Julius Wilczynski, Plane Trigonometry and Applications , Allyn and Bacon, 1914, page 105 ref Let a , b , and c be the lengths of the three sides of a triangle. Let , , and be the measures of the angles opposite those three sides respectively. Mollweide s formula states that math frac a b c frac cos left frac alpha beta 2 right sin left frac gamma 2 right math and math frac a b c frac sin left frac alpha beta 2 right cos left frac gamma 2 right . math Each of these identities uses all six parts of the triangle&mdash the three angles and the lengths of the three sides. See also Law of sines Law of cosines Law of tangents Law of cotangents Notes reflist References H. Arthur De Kleine, Proof Without Words Mollweide s Equation , Mathematics Magazine , volume 61, number 5, page 281, December, 1988. DEFAULTSORT Mollweide s Formula Category Trigonometry Category Triangles de Mollweidesche Formeln ko kk nl Formules van Mollweide pt F rmulas de Mollweide ru ... more details
G&T can mean Gin and tonic Geometry and Trigonometry the Talented and Gifted Gifted And Talented a Talented and Gifted program Gifted And Talented program utility cooperative Generation & Transmission cooperative wholesale energy provider Gap? & Tooth type of board connection Relationship between Steven Gerrard and Fernando Torres disambig Category abbreviations ... more details
wiktionarypar adjacent Adjacent is an adjective meaning contiguous , adjoining or abutting In geometry , adjacent sides meet to make an angle . In graph theory adjacent nodes in a graph are linked by an edge. In trigonometry the adjacent side of a right angled triangle is the cathetus next to the angle in question. In DNA the sequences repeat with each other one after another clarification needed date September 2011 See also Graph mathematics Adjacent angle Adjacent channel Category Elementary geometry Category Graph theory Category Trigonometry Elementary geometry stub ar ca Adjacent es Adyacente simple Adjacent ... more details
Image Replace this image male.svg right Daniel Alexander Murray 1862 1934 was a Canada Canadian mathematician . Murray was born in Colchester County, Nova Scotia , and was educated at Dalhousie University Dalhousie and Johns Hopkins University Johns Hopkins universities and in Berlin and Paris . He was successively associate professor of mathematics at New York University , instructor at Cornell University Cornell , professor at Dalhousie University, and, after 1907, professor of applied mathematics at McGill University McGill . Publications Introductory Course in Differential Equations 1897 An Elementary Course in the Integral Calculus 1898 Plane and Spherical Trigonometry 1902 Essentials of Trigonometry and Mensuration 1909 Elements of Plane Trigonometry 1911 NIE Persondata Metadata see Wikipedia Persondata . NAME Murray, Daniel ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1862 PLACE OF BIRTH DATE OF DEATH 1934 PLACE OF DEATH DEFAULTSORT Murray, Daniel Category Canadian expatriate academics in the United States Category Canadian mathematicians Category Canadian people of Scottish descent Category Cornell University faculty Category Dalhousie University faculty Category McGill University faculty Category New York University faculty Category People from Colchester County, Nova Scotia Category 1862 births Category 1934 deaths Canada academic bio stub ... more details
wiktionary trig Trig may refer to Trigonometry Trig functions Trig points, also known as triangulation station s Trig Paxson Van Palin, son of former Alaska Governor Sarah Palin TriG syntax TriG A format for storing and transmitting Resource Description Framework Resource Description Framework RDF data. disambig Long comment to avoid being listed on short pages ... more details
wiktionary excess excessive Excess may refer to Angle excess , in spherical trigonometry , quantity, used to calculate the area of polygon on a sphere Excess, in insurance, similar to deductible Excess, in chemistry, describing any reagent that is not the limiting reagent Excess , a song by Tricky from the album Blowback album Blowback Excess album Excess album , an album by Coma disambiguation ja ru ... more details
primarysources date February 2011 Glen Van Brummelen is a Canadian historian of mathematics specializing in historical applications of mathematics to astronomy. Van Brummelen earned his Doctor of Philosophy PhD degree from Simon Fraser University in 1993, and served as a professor of mathematics at Bennington College from 1999 to 2006. He then transferred to Quest University Canada as a founding faculty member. He is a former president of the CSHPM Canadian Society for the History and Philosophy of Mathematics , and was a co editor of Mathematics and the Historian s Craft The Kenneth O. May Lectures Springer, 2005 . Glen Van Brummelen has published the first major history in English of the origins and early development of trigonometry, The Mathematics of the Heavens and the Earth The Early History of Trigonometry . He is also currently working on the first book on spherical trigonometry in over 50 years. External links http questu.ca academics faculty glen van brummelen.php Bio at Quest s Website http faculty.bennington.edu gvanbrum Homepage at Bennington College http faculty.bennington.edu gvanbrum publs.htm Publication list http press.princeton.edu titles 8956.html Trigonometry Book page MathGenealogy id 15656 Persondata Metadata see Wikipedia Persondata . NAME Van Brummelen, Glen ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Van Brummelen, Glen Category Canadian academics Category Canadian mathematicians Category Year of birth missing living people Category Living people Category Simon Fraser University alumni Category Bennington College faculty Canada academic bio stub ht Glen Van Brummelen ... more details
Vijayanandi c. 940 Benares now Varanasi , India &ndash c, 1010 India was an India n mathematician and astronomer who made contributions to trigonometry . References MacTutor id Vijayanandi title Vijayanandi Persondata Metadata see Wikipedia Persondata . NAME Vijayanandi ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH 1010 PLACE OF DEATH Category Medieval Indian mathematicians Category 1010 deaths india scientist stub Asia mathematician stub ht Vijayanandi ... more details
CAH may refer to Congenital adrenal hyperplasia Crime against humanity The ICAO airline designator for Charlan Air Charter , South Africa Cyanide and Happiness , a daily webcomic CAH is a mnemonic used to teach trigonometry , showing that cosine is the ratio of adjacent over hypotenuse . The acronym CAH is a bibliographic abbreviation for the Cambridge Ancient History disambig de CAH eo CAH fr CAH it CAH pl CAH ... more details
Infobox scientist name Brahmadeva image birth date 1060 birth place death date 1130 death place residence citizenship nationality christian ethnicity field Mathematician chemist work institutions alma mater doctoral advisor doctoral students known for Trigonometry influences influenced prizes noble Brahmadeva 1060 1130 was an India n mathematician . He was the author of Karanaprakasa , which is a commentary on Aryabhata s Aryabhatiya . Its contents deal partly with trigonometry and its applications to astronomy .He was well known and intelligent scientist. External links MacTutor Biography id Brahmadeva Indian mathematics Persondata Metadata see Wikipedia Persondata . NAME Brahmadeva ALTERNATIVE NAMES buddha SHORT DESCRIPTION buddha DATE OF BIRTH 1060 PLACE OF BIRTH india DATE OF DEATH 1130 PLACE OF DEATH india DEFAULTSORT Brahmadeva Category 1060 births Category 1130 deaths Category Medieval Indian mathematicians Category 11th century mathematicians Category 12th century mathematicians Category Medieval Indian astronomers India scientist stub asia mathematician stub ht Brahmadeva nl Brahmadeva ... more details
multiple issues unreferenced October 2011 Image Law of haversines.svg right thumb Spherical triangle In spherical trigonometry , the half side formula relates the angles and lengths of the sides of spherical triangle s, which are triangles drawn on the surface of a sphere and so have curved sides and do not obey the formulas for plane triangles. Formulas math begin align tan left frac a 2 right & R cos S alpha 8pt tan left frac b 2 right & R cos S beta 8pt tan left frac c 2 right & R cos S gamma end align math where a , b , c are the lengths of the sides respectively opposite &alpha , &beta , &gamma , math S frac 1 2 alpha beta gamma math is half the sum of the angles, and math R sqrt frac cos S cos S alpha cos S beta cos S gamma . math The three formulas are really the same formula, with the names of the variables permuted. See also Spherical law of cosines Category Spherical trigonometry ru ... more details
wiktionary spread Spread may refer to Statistical dispersion Spread food , an edible paste put on other foods the score difference being wagered on in spread betting the measure of line inclination in rational trigonometry Spread rational trigonometry Temperature Dewpoint spread, dew point depression Two page spread a redundant term, also simply called spread , referring to two adjacent, facing pages in a magazine or other publication with conjoined or connected content In finance, the difference in price between related securities, Bid offer spread , between the buying and selling price of a commodity or security Spread trade , between two related securities or commodities Option adjusted spread , on mortgage backed securities where the borrower has the right to repay in full Yield spread , difference in percentage rate of return of two instruments Yield curve spread , on mortgage backed securities Credit spread bond , on bonds a term used for speed reading in policy debate . The laying of Tarot cards for divinatory uses Spread film Spread film , a 2009 film See also Seafloor spreading , the process leading to continental drift Spread spectrum , communications signals over a range of frequencies Spread offense , an offensive scheme in American football designed to stretch the field horizontally Betting poker Spread limit Spread limit , a limit on a raise in poker Spread polynomials , a polynomial sequence arising in rational trigonometry pread , a quarterly magazine by and for sex workers Spread , a song by OutKast from their 2003 album Speakerboxxx The Love Below Spread Toolkit an open source toolkit that provides a high performance messaging service disambig de Spread fr Spread ja ... more details
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