[3] The word "sine" (Latin "sinus") comes from a Latin mistranslation by Robert of Chester of the Arabic jiba, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.[4]. In contrast, representing [10][11] Muhammad ibn Jābir al-Harrānī al-Battānī (853–929) discovered the reciprocal functions of secant and cosecant, and produced the first table of cosecants for each degree from 1° to 90°.[11]. y ⁡ ⁡ [19] It is a simplified version of Latin, and retains its vocabulary. Human translations with examples: near, money, without, pecuniary, i need money, without money, money is evil. Sine Die [Latin, Without day.] θ cos − For an angle $${\displaystyle x}$$, the sine function is denoted simply as $${\displaystyle \sin x}$$. It can understand almost all Latin inflections and implements a ranking system that gets you the best results first. A legislative body adjourns sine die when it adjourns without appointing a day on which to appear or assemble again. Doublet of sinus. A simple and powerful online Latin dictionary This dictionary was built to bring the power of William Whitaker's Words into an easy-to-use online interface. . Sine definition: a trigonometric function that in a right-angled triangle is the ratio of the length of... | Meaning, pronunciation, translations and examples In trigonometry, a unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system. = ) Sine… NULLUS RECEDAT E CURIA CANCELLARIA SINE REMEDIO Latin, meaning No one should depart from a Court of Chancery without a remedy. 2 In computing, it is typically abbreviated to sin. The inverse function of sine is arcsine (arcsin or asin) or inverse sine (sin-1). cos [9] Al-Khwārizmī (c. 780–850) produced tables of sines, cosines and tangents. {\sqrt {1+\cos ^{2}(x)}}\,dx} Sine animo revertendi. For example, the C standard library defines sine functions within math.h: sin(double), sinf(float), and sinl(long double). 2 {\displaystyle y=\sin(\theta )} converges uniformly on any closed disk as well. IEEE 754-2008, the most widely used standard for floating-point computation, does not address calculating trigonometric functions such as sine. {\displaystyle {\tfrac {\sin(\theta )}{\cos(\theta )}}} ⁡ 1 {\displaystyle \pi } appear a lot more frequently in literature than the mathematical term "sine." While Latin hasn't been regularly spoken or written for hundreds of years, save for the occasional scholarly text, its legacy is still felt throughout the lexicon of both Romance and Germanic languages today.Whether you're launching an ad hominem attack or adding etcetera to the end of a list, it's likely you're peppering your speech with Latin phrases without even … θ What does sine mean in Latin? 7.640395578 d ( In general, mathematically important relationships between the sine and cosine functions and the exponential function (see, for example, Euler's formula) are substantially simplified when angles are expressed in radians, rather than in degrees, grads or other units. Γ . sin d The function of sine and versine (1 - cosine) can be traced to the jyā and koṭi-jyā functions used in Gupta period (320 to 550 CE) Indian astronomy (Aryabhatiya, Surya Siddhanta), via translation from Sanskrit to Arabic and then from Arabic to Latin. Using the unit circle definition has the advantage that the angle can be extended to any real argument. {\displaystyle x} ( Latino sine flexione ("Latin without inflections"), Interlingua de Academia pro Interlingua (IL de ApI) or Peano's Interlingua (abbreviated as IL), is an international auxiliary language compiled by the Academia pro Interlingua under chairmanship of the Italian mathematician Giuseppe Peano (1858–1932) from 1887 until 1914. This allows results to be looked up from a table rather than being calculated in real time. ( Representing angles in turns or half-turns has accuracy advantages and efficiency advantages in some cases. ) The following table gives basic information at the boundary of the quadrants. Sine is used to determine the imaginary part of a complex number given in polar coordinates (r, φ): r and φ represent the magnitude and angle of the complex number respectively. .[1][2]. is the derivative of ( Word of the day - in your inbox every day January 15, 2021. The three sides of the triangle are named as follows: Once such a triangle is chosen, the sine of the angle is equal to the length of the opposite side, divided by the length of the hypotenuse:[5], The other trigonometric functions of the angle can be defined similarly; for example, the cosine of the angle is the ratio between the adjacent side and the hypotenuse, while the tangent gives the ratio between the opposite and adjacent sides.[5]. Seine definition is - a large net with sinkers on one edge and floats on the other that hangs vertically in the water and is used to enclose and catch fish when its ends are pulled together or are drawn ashore. (botany) A notch or depression between two lobes or teeth in the margin of an organ. cmath.sin(z). = . A table of some of these values is given below. sin For quotations using this term, see Citations:sine. Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-ShareAlike 3.0 License is n α The sine squared function can be expressed as a modified sine wave from the Pythagorean identity and power reduction—by the cosine double-angle formula:[6]. x As stated, the value 1 ( ⁡ 3 The actions are so obvious … 360 More meanings for sine. , then the function The name Sine is in the following categories: Celtic Names, Gaelic Names, Irish Names. = | {\displaystyle \mathbb {C} } is graphed from the y-coordinate (red dot) of a point on the unit circle (in green), at an angle of θ. π hypotenuse Meanings for sine metu ... Chinese Czech Danish Dutch English Esperanto Finnish French German Greek Hebrew Hindi Hungarian Icelandic Indonesian Italian Korean Latin Latvian Macedonian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Spanish Swahili Swedish Tamil Turkish Vietnamese Welsh. absque, extra, citra, sed, set. [20]. 1 − {\displaystyle {\frac {\pi }{2048}}} Discover sine meaning and improve your English skills! {\displaystyle \Gamma } 4 ) For applications involving angle sensors, the sensor typically provides angle measurements in a form directly compatible with turns or half-turns. z opposite {\displaystyle \theta } The meanings of individual words come complete with examples of usage, transcription, and the possibility to hear pronunciation. ∏ 2 . = A simple and powerful online Latin dictionary This dictionary was built to bring the power of William Whitaker's Words into an easy-to-use online interface. 1 π Cosecant gives the ratio of the length of the hypotenuse to the length of the opposite side:[1]. sin = Sine can also take a complex number as an argument. Without day; without assigning a day for a further meeting or hearing. π sine m (oblique plural sines, nominative singular sines, nominative plural sine). π Using only geometry and properties of limits, it can be shown that the derivative of sine is cosine, and that the derivative of cosine is the negative of sine. {\displaystyle \mathbb {C} } Knows not just Latin … Let a line through the origin intersect the unit circle, making an angle of θ with the positive half of the x-axis. π 2 (If you would like to suggest one or more categories for the name, click here).We have plenty of different baby name categories to search for special meanings plus popular and unique names, search our database before choosing but also note that baby name categories … The x- and y-coordinates of this point of intersection are equal to cos(θ) and sin(θ), respectively. without. Throughout history, terms come and terms go—and thankfully for most people, archaic … z n ⁡ {\displaystyle \textstyle {\prod _{n=1}^{\infty }(1+a_{n}(z))}} In site translation mode, Yandex.Translate will translate the entire text content of the site at the URL you provide. A common programming optimization, used especially in 3D graphics, is to pre-calculate a table of sine values, for example one value per degree, then for values in-between pick the closest pre-calculated value, or linearly interpolate between the 2 closest values to approximate it. For an angle [18] Algorithms for calculating sine may be balanced for such constraints as speed, accuracy, portability, or range of input values accepted. [9] With the exception of the sine (which was adopted from Indian mathematics), the other five modern trigonometric functions were discovered by Arabic mathematicians, including the cosine, tangent, cotangent, secant and cosecant. π {\displaystyle \pi } ∏ [17] The English form sine was introduced in the 1590s. n sine (Latin)Origin & history I The function of this preposition was previously done with the use of sē, sēd (see sē-‎, sed‎), from Proto-Indo-European *swé‎ ("self"), thus meaning "by itself", "without". This Latin word has now become our English “sine.” For cosine : The prefix "co-" (in "cosine", "cotangent", "cosecant") is found in Edmund Gunter 's Canon triangulorum (1620), which defines the cosinus as an abbreviation for the sinus complementi (sine of the complementary angle) and proceeds to define the cotangens similarly. This can lead to different results for different algorithms, especially for special circumstances such as very large inputs, e.g. sine controversia adverb: kétségkívül határozószó. n From: conditio sine qua non in The Oxford Dictionary of Philosophy » Subjects: Philosophy ) z The law of sines is useful for computing the lengths of the unknown sides in a triangle if two angles and one side are known. 4 A variant dental-stem declension can also be found. Cognate with Old Norse speni (“teat”), English spean (“teat (of a cow)”). The parameter of each is a floating point value, specifying the angle in radians. From the Latin translation of the Vulgate Bible of Psalm 130, of which it is a traditional title in Roman Catholic liturgy. {\displaystyle e^{C}=\pi } sin ) → In a paper published in 1682, Leibniz proved that sin x is not an algebraic function of x. C Alle weiteren Informationen findest du im Haupteintrag sin. Although dealing with complex numbers, sine's parameter in this usage is still a real number. , which completes the proof. The arc length for a full period is I actually don't want it to refer to a tattoo in the translation. f z This is a common situation occurring in triangulation, a technique to determine unknown distances by measuring two angles and an accessible enclosed distance. For certain integral numbers x of degrees, the value of sin(x) is particularly simple. "Jedem das Seine" (German pronunciation: [ˈjeːdm̩ das ˈzaɪ̯nə]) is the literal German translation of the Latin phrase suum cuique, meaning "to each his own" or "to each what he deserves". x English Translation. π It follows that the arcsine function is multivalued: arcsin(0) = 0, but also arcsin(0) = π, arcsin(0) = 2π, etc. Without the intention of returning. π The function sine can be traced to the jyā and koṭi-jyā functions used in Gupta period Indian astronomy (Aryabhatiya, Surya Siddhanta), via translation from Sanskrit to Arabic, and then from Arabic to Latin. A similar argument can be made for the cosine function to show that It can understand almost all Latin inflections and implements a ranking system that gets you the best results first. π RES IPSA LOQUITUR Latin meaning the action speaks for itself. Γ z . sin {\displaystyle \cos(\theta )={\tfrac {\textrm {adjacent}}{\textrm {hypotenuse}}}} ) While the early study of trigonometry can be traced to antiquity, the trigonometric functions as they are in use today were developed in the medieval period. without a name More meanings for sine nomine. ( ) opposite Many other trigonometric functions are also defined in math.h, such as for cosine, arc sine, and hyperbolic sine (sinh). lim ) , By definition, arcsine satisfies the equation: where C denotes the constant of integration.[2]. in binary floating-point or binary scaled fixed-point always involves a loss of accuracy. {\displaystyle a} , we have 1 ∞ . The following table documents how sine can be expressed in terms of the other common trigonometric functions: For all equations which use plus/minus (±), the result is positive for angles in the first quadrant. = From Old Irish sine (“teat, dug, pap”), from Proto-Celtic *sɸenyos, from Proto-Indo-European *pstḗn. 2 ⁡ where As a holomorphic function, sin z is a 2D solution of Laplace's equation: The complex sine function is also related to the level curves of pendulums.[how? sin sine (n.) trigonometric function, 1590s (in Thomas Fale's "Horologiographia, the Art of Dialling"), from Latin sinus "fold in a garment, bend, curve, bosom" (see sinus).Used mid-12c. = Sine squared has only positive values, but twice the number of periods. (botany)A notch or depression between two lobes or teeth in the margin of an organ. + Use * for blank tiles (max 2) Advanced Search Advanced Search: Use * for blank spaces … z And as sometimes nesi was also written, with -ne being nē (“not”), sine might literally mean "not this". 2 ( Computing modulo 1 turn or modulo 2 half-turns can be losslessly and efficiently computed in both floating-point and fixed-point. sine translation in Latin-English dictionary. … In contrast, if radians are used as the unit for storing the angle, then the inaccuracies and cost of multiplying the raw sensor integer by an approximation to (pathology) An abnormal cavity or passage such as a fis… 0 What does sine nomine mean in Latin? The sine function is commonly used to model periodic phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations throughout the year. without preposition. 2 ln 2 2 z ( a {\displaystyle 2\pi } cot {\textstyle {\frac {df}{dz}}={\frac {z}{z^{2}-n^{2}}}} Also, for purely real x. Nevettheless, there are those of us who know the difference, who have studied both mathematics and Latin, and so i … C 1. The word sine defined here is the mathematical one, derived from the Latin "sinus." Contextual translation of "sine pecunia" into English. seine (plural seines) 1. Some still refer the si- in sine to this root, others refer it to Proto-Indo-European *só (“this”), whence si (“if”). For example, an angle sensor may count from 0 to 4096 over one complete revolution. {\textstyle {\frac {4{\sqrt {2\pi ^{3}}}}{\Gamma (1/4)^{2}}}+{\frac {\Gamma (1/4)^{2}}{\sqrt {2\pi }}}=7.640395578\ldots } {\displaystyle \sin(\theta )={\tfrac {\textrm {opposite}}{\textrm {hypotenuse}}}={\tfrac {\textrm {opposite}}{1}}={\textrm {opposite}}} d The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse). π , which can be proved using the Weierstrass M-test. lim These apply for all values of 78. By the identity theorem, the infinite product for the sine is valid for all CPython's math functions call the C math library, and use a double-precision floating-point format. Sine definition at Dictionary.com, a free online dictionary with pronunciation, synonyms and translation. Latin, a condition without which not; a necessary condition. From Proto-Celtic *sɸenyos, itself from Proto-Indo-European *pstḗn. ( cos The length of the opposite side of the triangle is simply the y-coordinate. The definition of the sine function for complex arguments z: where i 2 = −1, and sinh is hyperbolic sine. ( 2 z The Opus palatinum de triangulis of Georg Joachim Rheticus, a student of Copernicus, was probably the first in Europe to define trigonometric functions directly in terms of right triangles instead of circles, with tables for all six trigonometric functions; this work was finished by Rheticus' student Valentin Otho in 1596. Sine die definition is - without any future date being designated (as for resumption) : indefinitely. The word sine derives from the Latin `` sinus. 4096 over one complete revolution the infinite is... The advantage that the infinite product is holomorphic on C { \displaystyle \theta } both graphs have same! 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One period actually do n't want it to refer to a tattoo in the translation desired, the typically. Was interpreted as the word sine derives from the Latin translation of day. Old ” ), pecuniary, i need money, without, pecuniary, i need money,,... So obvious … 2 years ago x- and y-coordinates of this point of are... Phrase was cynically used by the Nazis as a fis… sine. sine can be using... Penguin 2001, p. 21: 1.1.1 the English form sine was introduced in the margin of organ., is widely available across programming languages, sin is central to Christianity, its. To be looked up from a table of some of these values is given.! The doctrine of sin ( θ ), respectively actions are so obvious … years...

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