NounSingular sine Plural sines sine (plural sines)
From Wiktionary under the GNU Free Documentation License. In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. They are used to relate the angles of a triangle to the lengths of the sides of a triangle. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications. The most familiar trigonometric functions are the sine, cosine, and tangent. The sine function takes an angle and tells the length of the y-component (rise) of that triangle. The cosine function takes an angle and tells the length of x-component (run) of a triangle. The tangent function takes an angle and tells the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers. Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles). In this use, trigonometric functions are used for instance in navigation, engineering, and physics. A common use in elementary physics is resolving a vector into Cartesian coordinates. The sine and cosine functions are also commonly used to model periodic function phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations through the year. In modern usage, there are six basic trigonometric functions, which are tabulated here along with equations relating them to one another. Especially in the case of the last four, these relations are often taken as the definitions of those functions, but one can define them equally well geometrically or by other means and then derive these relations. From Wikipedia under the
GNU Free Documentation License What is the real mathematical formula for sine and cosine? Q. I mean calculators must do some sort of calculation to figure out a value for sine of a number. Or do they just use a numerical approximation formula? Asked by AcePhoenix - Tue Feb 17 17:09:31 2009 - - 1 Answers - 0 Comments A. Excellent Q. Do you know about complex numbers? About the expansion of e^x? If not, these are treats in store for you. e^ix = cos x + i sin x Cos x = 1 - x^2/(1 x 2) + x^4/(1 x 2 x 3 x 4) - x^6/(1 x 2 x 3 x 4 x 5 x 6) + ... Sin x = x - x^3/(1 x 2 x 3) + x^5/(1 x 2 x 3 x 4 x 5) - x^7/(1 x 2 x 3 x 4 x 5 x 6 x 7) + ... These series converge very quickly. I think calculators sum them to 9 decimal places or so on demand. x must be in radians. Answered by Paul B - Tue Feb 17 17:20:35 2009 What capacitance would you recomend for ac coupling & dc blocking of a 50Hz sine wave? Q. I have a sine wave shifted "upwards" so that it always has a positive voltage. I need to "bring it back down" so to speak, so that it is positive for the first half-wavelength and negative for the second half-wavelength. The frequency of the sine wave is 50Hz. The voltage is 5V if that helps. Asked by chrisjk - Mon May 26 11:27:30 2008 - - 1 Answers - 0 Comments A. We need the impedance which is being driven, so that the necessary current can be determined. Once you know the current that must flow, and the impedance which it is being driven through, the capacitive reactance can be found and the size of the capacitor follows at once. Answered by rhsaunders - Mon May 26 11:44:27 2008 How do I write a sine function?
Q. I have a set of data points. I need to write a sine function based on the data. Is there a general way to go about doing this? Asked by jhow92 - Tue Mar 17 16:51:12 2009 - - 3 Answers - 0 Comments A. go ahead and plot the points. the highest number for the y value is the amplitude. y = amp sin w x next, you have to find w. The period for a sine function is 2 pi/w. hope this helps. But, you must graph your data first, so that you can see the amplitude and the period. then use the period to calculate w. Answered by tj - Tue Mar 17 17:03:43 2009 From Yahoo Answer Search: "sine"  news.google.com Park Record Photo by Scott Sine Park City High School cross-country athletes Gillian Gorelik and Rebecca Cunning were featured in the Denver Post as the cross-country ... news.google.com ESPN Food's" sine qua non is one big burger or one big pizza, one big sandwich. So it's not 50 eggs. I'd have to eat an ostrich egg. I'm telling you right here, ... and more » news.google.com HULIQ For example, last week, it was the first time sine the all time lows of May 2009 that Freddie Mac reported its national average results starting at 4. ... and more » From Google News Search: "sine"  mastinosinedie.com 64px x 100px | 4.90kB [source page] sine^die Cabiria sine^die Cabiria  mastinosinedie.com 94px x 100px | 5.80kB [source page] Ustica del Castellaccio daughter of sine^die Sicano 75 day xox jpg From Yahoo Image Search: "sine"  sgrothfam-hw.blogspot.com Michael Sondgeroth ue, 02 Mar 2010 20:17:00 GM Procedures for . Sine. Regression. Use the following procedures when asked to use a . sine. function/equation/graph to model a set of data: Modeling Data Using . Sine. Regression . Posted by Michael Sondgeroth at 12:17 PM ...  la.racked.com Lisa Boosin Mon, 15 Feb 2010 18:57:04 GM Racked LA : Los Angeles Shopping, Stores and Retail Scene.  choralnet.org Dirk Maes Sun, 21 Feb 2010 21:39:30 GM Hello, Choralnet has been a great help before, so I am trying my luck again. We are planning to sing a mass by Palestrina (for TTBB), a missa . sine. nomine, called 'Mantuana'. I can't seem to find any information about that mass. ... From Google Blog Search: "sine" |
