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- ...tant in all branches of science and technology. It is possible to define sine and cosine in different ways. Two ways, one based on plane geometry and o ===Definition of sine and cosine in plane geometry===19 KB (3,106 words) - 09:53, 10 October 2013
- 174 bytes (28 words) - 19:26, 4 September 2009
- 26 bytes (4 words) - 05:16, 21 October 2008
- 26 bytes (4 words) - 17:10, 24 October 2008
- 819 bytes (126 words) - 10:08, 31 October 2008
- 146 bytes (26 words) - 05:11, 18 October 2008
Page text matches
- #REDIRECT [[sine]]18 bytes (2 words) - 05:27, 7 November 2008
- #REDIRECT [[sine]]18 bytes (2 words) - 05:24, 7 November 2008
- {{r|Hyperbolic sine}} {{r|Hyperbolic sine integral}}2 KB (260 words) - 08:13, 9 December 2009
- ...f sines''' (also known as '''sine rule''') relates in a [[triangle]] the [[sine]]s of the three angles and the lengths of their opposite sides, {{Image|Sine rule.png|right|300px|Fig. 2. '''Sine rule:''' sinα:sinβ:sinγ=a:b:c}}3 KB (502 words) - 12:32, 11 June 2009
- Infinite series whose terms are constants multiplied by sine and cosine functions and that can approximate a wide variety of periodic fu181 bytes (25 words) - 16:58, 12 January 2010
- A mathematical rule that for a small angle expressed in radians, its sine and tangent are approximately equal to the angle.159 bytes (24 words) - 05:09, 22 February 2011
- *[http://www.geocities.com/SiliconValley/Garage/3323/aat/a_sin.html Sine and cosine function ] with an implementation in Rexx.365 bytes (54 words) - 02:21, 25 November 2009
- ...atio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, and cosecant.206 bytes (32 words) - 20:34, 4 September 2009
- ...is a rule that says that for small angles, the [[trigonometric function]]s sine and tangent are approximately equal to the angle. The approximation is vali ...approximation is the first-order [[Taylor series|Maclaurin series]] of the sine function about the value zero. Recall Maclaurin's theorem:2 KB (368 words) - 20:13, 29 January 2022
- {{r|Sine wave}}532 bytes (70 words) - 07:07, 11 October 2009
- ...and the ''x''-axis.{{Image|unit_circle.jpg|left|200px|The relation of the sine and cosine and the unit circle.}}2 KB (298 words) - 22:10, 14 December 2020
- {{r|Sine}}535 bytes (68 words) - 18:22, 11 January 2010
- :''See [[sine|sin]] for the mathematical function.''743 bytes (118 words) - 14:35, 10 August 2020
- {{r|Sine}}636 bytes (82 words) - 19:49, 11 January 2010
- {{r|Sine}}763 bytes (99 words) - 17:28, 11 January 2010
- {{r|Sine}}879 bytes (114 words) - 03:09, 8 March 2024
- ...>cos(x)</math>. The other trigonometric functions can be constructed using sine, cosine, and the elementary operations. It is a remarkable thing that the sine and cosine functions can be defined from the exponential function when it i8 KB (1,289 words) - 13:46, 26 May 2009
- {{r|Sine}}1,019 bytes (129 words) - 03:09, 8 March 2024
- ...igonometry]] tells us that the [[sine]] of a 30° angle is 1/2, whereas the sine of a 90° angle is 1. Therefore, the sunbeam hitting the ground at a 30°2 KB (404 words) - 10:27, 26 September 2007
- ...ed as the product of the lengths of two adjacent sides multiplied by the [[sine]] of the angle between the sides.896 bytes (150 words) - 23:59, 8 March 2009
- |[[Sine]] |[[Hyperbolic sine]]8 KB (1,184 words) - 14:58, 8 December 2009
- ...en the two starting waves. To demonstrate the simplest case, between two [[sine wave]]s of equal [[amplitude]]: ...ession above (it can be said, the cosine factor is an ''envelope'' for the sine wave), whose frequency is (''f''<sub>1</sub>+''f''<sub>2</sub>)/2, that is,4 KB (724 words) - 14:52, 2 October 2021
- ...ngles]], the angle C, opposite the [[hypotenuse]] (c), is 90 degrees. The sine of 90 degrees is 1, so the equation reduces to:1 KB (183 words) - 22:18, 6 December 2009
- ...the reciprocal of the cosine, the '''cosecant''' is the reciprocal of the sine, and the '''cotangent''' is the reciprocal of the tangent.4 KB (637 words) - 16:32, 24 November 2008
- multiplied by the [[sine]] of the angle between the sides.1 KB (194 words) - 03:12, 20 November 2009
- *The [[sine]] of 1 radian is 0.841 470 985...1 KB (188 words) - 16:39, 13 November 2007
- {{r|Sine}}2 KB (247 words) - 06:00, 7 November 2010
- ...umption for survival, survival manifested as [[reproductive success]], a ''sine qua non'' of evolution by means of [[natural selection]].2 KB (309 words) - 21:53, 19 June 2010
- ...tant in all branches of science and technology. It is possible to define sine and cosine in different ways. Two ways, one based on plane geometry and o ===Definition of sine and cosine in plane geometry===19 KB (3,106 words) - 09:53, 10 October 2013
- ...respect to the requirement that for a counterinsurgency to succeed, the ''sine qua non'' is to see the government as legitimate. This is especially compl2 KB (334 words) - 16:53, 12 March 2024
- ...nvelopes.png|right|150px|Top and bottom envelope functions for a modulated sine wave.}} ...ing its extremes in amplitude.<ref name=Johnson/> The figure illustrates a sine wave varying between an upper and a lower envelope. The envelope function m12 KB (1,810 words) - 11:41, 18 June 2012
- Numerical Recipes in C. Fast Sine and Cosine transform. ...g the only antisimmetric modes can be performed with the [[DST]] (Discrete sine transform).8 KB (1,204 words) - 18:09, 8 September 2020
- | '''Sine''' The earliest use of sine appears in the ''[[Sulba Sutras]]'' written in [[History of India|ancient I33 KB (5,179 words) - 08:26, 4 June 2010
- ...decompose it into its constituent frequencies. The main idea is to employ sine and cosine functions of a continuous range of frequencies (in fact from <ma3 KB (547 words) - 07:21, 24 December 2008
- ...rned. He famously declared that the vernacular with "without any rules" (''sine omnia regula''), by which of course he meant written, codified rules as tau3 KB (494 words) - 22:34, 4 January 2011
- ...mathematical objects. Examples of elementary functions include the [[sine|sine function]] and the [[logarithmic function]], which (denoting their argument ...plane]]. Given either of the non-right angles (which we call ''x''), the ''sine of x'' equals the ratio between the side opposite to the angle and the side15 KB (2,342 words) - 06:26, 30 November 2011
- ...or '''asign''', or '''arcsin''' is [[holomorphic function]], inverse of [[sine|sin]].5 KB (731 words) - 10:07, 2 December 2013
- Numerical Recipes in C. Fast Sine and Cosine transform.6 KB (884 words) - 18:03, 8 September 2020
- Cosine- and sine-type regular [[solid harmonics]] (normalized to unity) can be defined by th ...es, the cosine-type functions contain the factor cos |''m''| φ and the sine-type functions sin |''m''| φ. Hence the name. It is of some interest t15 KB (2,490 words) - 12:23, 19 April 2009
- ...the particle, the intensity ''B'' of the [[magnetic induction]], and the [[sine]] of the angle between the [[vector]]s '''v''' and '''B'''. The ''direction5 KB (833 words) - 21:31, 26 March 2022
- ...f the [[harmonic oscillator (classical)|harmonic oscillator]]s is given by sine-type functions, so that the time derivatives of the ''Q''<sub>''t''</sub>'s ...ential equations are easily solved yielding the ''Q''<sub>''t''</sub>'s as sine-type functions of time, see the article on [[harmonic oscillator (classical13 KB (1,996 words) - 10:52, 3 November 2021
- ...integral]]s of entire functions, for example the [[error function]] erf, [[sine integral]] Si and the [[Bessel function]] ''J''<sub>0</sub> are also entire6 KB (827 words) - 14:44, 19 December 2008
- * Epistole sine nomine4 KB (639 words) - 13:19, 6 August 2017
- ...ellium, sed magnitudine paulo antecedunt mutilaeque sunt cornibus et crura sine nodis articulisque habent neque quietis causa procumbunt neque, si quo adfl4 KB (697 words) - 14:54, 5 March 2010
- ...and winning elections. Although a competitive party system is considered a sine qua non of modern [[democracy]], parties operate in many [[authoritarianism6 KB (865 words) - 17:48, 21 July 2009
- The exponential is related to the [[trigonometric function]]s [[sine]] and [[cosine]] by ''[[de Moivre]]'s formula'':6 KB (1,021 words) - 12:18, 11 June 2009
- ...sical phenomena that are essential to his study. Reduction is a ''conditio sine qua non'' in the explanation of observations and is essential for the pro7 KB (1,068 words) - 11:41, 21 November 2009
- ...e obtained [[associated Legendre functions]] for ''m'' = 1 (linear in the sine of latitude angle). Legendre submitted his results to the [[Académie des6 KB (854 words) - 09:52, 24 July 2011
- ...ion excludes the function sinωt, because the first derivative of the sine is the cosine which is not zero at ''t'' = 0. Hence the time function is of and that the sine function is odd, sin(−''u'') = −sin(''u'').17 KB (2,899 words) - 02:27, 24 March 2010
- Numerical Recipes in C. Fast Sine and Cosine transform.11 KB (1,680 words) - 18:00, 8 September 2020