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...

wave, a mathematical function Sine and cosine transforms Sine quadrant Sine-Gordon equation Sinë, village in Albania Sine, Washington, a community in the...

trigonometric identities Sinc function Sine and cosine transforms Sine integral Sine quadrant Sine wave Sine–Gordon equation Sinusoidal model SOH-CAH-TOA...

developing four different types of quadrants during the Middle Ages and beyond. The first of these, the sine quadrant, was invented by Muhammad ibn Musa...

functions are positive in quadrant I, "Science" (for sine) is positive in quadrant II, "Teachers" (for tangent) is positive in quadrant III, and "Crazy" (for...

the sign and the monotonicity of the functions sine, cosine, cosecant, and secant in the four quadrants, one can show that 2 π {\displaystyle 2\pi } is...

going through quadrants 4, 1, 2, then 3. ACTS still starts in quadrant 1 but goes clockwise going through quadrants 1, 4, 3, then 2. Sines and cosines of...

Library of Bratislava). Ibrahim al-Halabi (died 1776) is about the sine, quadrant and parallel circles; (Collection of Islamic Manuscripts in the University...

wrote no fewer than fifty[citation needed] treatises in astronomy (sine quadrants, sundials, astronomical tables and prayer times[citation needed]) (Young...

of quadrants were invented by Muslims. Among them was the sine quadrant used for astronomical calculations, and various forms of the horary quadrant used...

possible: for example, some early trigonometric tables used not sine and cosine, but sine and versine. A quick, but inaccurate, algorithm for calculating...

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...

medieval Europe, where the word "syrup" was derived from Arabic. Sine quadrant: A type of quadrant used by medieval Arabic astronomers, it was described by Muhammad...

(c. 780–850), Persia/Iran – algebra, mural instrument, horary quadrant, Sine quadrant, shadow square Johann Kiefuss – inventor in Nuremberg in 1517 Marcel...

of change with respect to a variable. For example, the derivative of the sine function is written sin′(a) = cos(a), meaning that the rate of change of...

trigonometric functions cosine and sine respectively. This complex exponential function is sometimes denoted cis x ("cosine plus i sine"). The formula is still valid...

Creates the Sine Institute of Policy and Politics American University, Washington, DC, September 24, 2018 "President Sylvia Burwell Announces Sine Institute...

streets of Baghdad are paved with tar.[citation needed] 9th century – The sine quadrant, was invented by Muhammad ibn Musa al-Khwarizmi in the 9th century at...

for all points (x, y) on the unit circle, not only those in the first quadrant. The interior of the unit circle is called the open unit disk, while the...

contributions, which include the invention of the Gunter's chain, the Gunter's quadrant, and the Gunter's scale. In 1620, he invented the first successful analogue...

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 =...

most common quadrants (the astrolabic and the trigonometric varieties). These two common quadrants were modified versions of the sine quadrant. He also created...

2π, the sine and cosine change signs in the various quadrants to keep x and y with the correct signs. The figure shows how the sign of the sine function...

by Leonhard Euler and Carl Friedrich Gauss, among others. The lemniscate sine and lemniscate cosine functions, usually written with the symbols sl and...

be categorized as single-quadrant, two-quadrant, or four-quadrant; the chart's four quadrants are defined as follows: Quadrant I – Driving or motoring...

Urdi, the sine and versine instrument of Urdi, the sextant of al-Khujandi, the Fakhri sextant at the Samarqand observatory, a double quadrant Azimuth-altitude...

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...

terminals, two for each coil, as shown. The two coils are identified as the sine coil and the cosine coil. The direction θ {\displaystyle \theta } of the...

period, especially due to Aryabhata (sixth century AD), who discovered the sine function, cosine function, and versine function. When during the Middle Ages...

measurement is thus limited by the angular accuracy of the instrument and not the sine error of the length of an alidade, as it is in a mariner's astrolabe or similar...