Cosine error is a type of measurement error caused by the difference between the intended and actual directions in which a measurement is taken. Depending...
5 KB (530 words) - 23:16, 15 February 2025
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:...
55 KB (7,064 words) - 00:33, 30 May 2025
will still be relative rather than absolute because of factors such as cosine error (discussed later). In a quality environment to check for consistency...
19 KB (2,651 words) - 13:27, 16 February 2025
A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies...
101 KB (11,972 words) - 20:04, 27 June 2025
zero cosine error. Whereas dial test indicators will give a foreshortened reading if their tips are on an angle to the surface being measured (cosine error)...
4 KB (554 words) - 13:31, 16 February 2025
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...
38 KB (5,891 words) - 16:21, 8 June 2025
speed of the police and target vehicle. Like radar, lidar is subject to cosine error effect. Sweeping the device while taking a reading so that (particularly...
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Trigonometric functions (redirect from Sine-cosine-tangent)
trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively the cosecant...
77 KB (10,740 words) - 18:22, 24 June 2025
approximate instantaneous speed. Non-relativistic discrepancies include cosine error which occurs in speed detection devices when only one scalar component...
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Solar tracker (category CS1 errors: ISBN date)
the incoming sunlight and a photovoltaic panel, sometimes known as the cosine error. Reducing this angle increases the amount of energy produced from a fixed...
52 KB (6,831 words) - 01:45, 17 June 2025
In mathematics, the Fourier sine and cosine transforms are integral equations that decompose arbitrary functions into a sum of sine waves representing...
19 KB (2,693 words) - 23:38, 17 June 2025
Trigonometric integral (redirect from Cosine integral)
Fourier series, which is the cause of the Gibbs phenomenon. The different cosine integral definitions are Cin ( x ) ≡ ∫ 0 x 1 − cos t t d ...
18 KB (3,289 words) - 05:51, 19 May 2025
Window function (redirect from Triple overlapped cosine window)
simplifying the cosine function at MATLAB tukeywin and substituting r=α and x=n/N. Harris 1978 (p 67, eq 38) appears to have two errors: (1) The subtraction...
74 KB (8,875 words) - 04:15, 25 June 2025
In spherical trigonometry, the law of cosines (also called the cosine rule for sides) is a theorem relating the sides and angles of spherical triangles...
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Spherical trigonometry (category CS1 errors: ISBN date)
the above substitutions. This is how the supplemental cosine equations are derived from the cosine equations. Similarly, the identities for a quadrantal...
41 KB (6,784 words) - 13:26, 6 May 2025
Phase-shift keying (section Bit error rate)
frequency carrier wave. The modulation is accomplished by varying the sine and cosine inputs at a precise time. It is widely used for wireless LANs, RFID and...
42 KB (6,226 words) - 06:26, 27 June 2025
Normal distribution (redirect from Law of error)
the Box–Muller method which does not require computation of the sine and cosine functions. In this method, U and V are drawn from the uniform (−1,1) distribution...
148 KB (21,558 words) - 12:27, 26 June 2025
The modified discrete cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of...
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border. Named after Cosine Lake, which is about 3 kilometres north. The name comes from when one of the surveyors in the area made an error in calculation...
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Inverse trigonometric functions (redirect from Arc Cosine)
suitably restricted domains. Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to obtain...
75 KB (10,633 words) - 14:30, 26 June 2025
Pulse shaping (section Raised-cosine filter)
synchronisation point of view as any phase error results in steeply increasing intersymbol interference. Raised-cosine is similar to sinc, with the tradeoff...
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Prosthaphaeresis (section Decreasing the error)
24 349.2 {\displaystyle 24\,349.2} (a percent error of ≈0.003%). If we want the product of the cosines of the two initial values, which is useful in some...
14 KB (1,973 words) - 05:32, 21 December 2024
stereo, and 384 kbit/s for 5.1 audio. AAC uses only a modified discrete cosine transform (MDCT) algorithm, giving it higher compression efficiency than...
71 KB (7,826 words) - 19:27, 27 May 2025
Versine (redirect from Versed cosine)
Section I) trigonometric tables. The versine of an angle is 1 minus its cosine. There are several related functions, most notably the coversine and haversine...
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(which is an explicit feature of some high-end mirror mounts), a small cosine error in the movement of the mirror is overlaid onto the linear movement of...
9 KB (1,285 words) - 03:41, 7 April 2025
Lemniscate elliptic functions (redirect from Lemniscate cosine)
Carl Friedrich Gauss, among others. The lemniscate sine and lemniscate cosine functions, usually written with the symbols sl and cl (sometimes the symbols...
126 KB (23,828 words) - 17:49, 23 June 2025
For small angles, the trigonometric functions sine, cosine, and tangent can be calculated with reasonable accuracy by the following simple approximations:...
16 KB (2,137 words) - 04:00, 22 May 2025
x^{n}} for any even integer n , {\displaystyle n,} cosine cos , {\displaystyle \cos ,} hyperbolic cosine cosh , {\displaystyle \cosh ,} Gaussian function...
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that he found the Taylor series for the trigonometric functions of sine, cosine, and arctangent (see Madhava series). During the following two centuries...
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Haversine formula (category CS1 errors: ISBN date)
formula can be written using cosines (sometimes called the spherical law of cosines, not to be confused with the law of cosines for plane geometry) instead...
20 KB (2,836 words) - 23:39, 27 May 2025