Noun

Singular sine

Plural sines

sine (plural sines)

  1. (trigonometry, mathematics) In a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse.

From Wiktionary under the GNU Free Documentation License.
Fri Feb 5 01:35:21 2010

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
Mon Jan 11 00:10:32 2010

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"
Sun Nov 22 07:56:29 2009

Girls number 1 in cross-country - Park Record
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Girls number 1 in cross-country

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 ...
He's getting paid to eat ballpark food - ESPN
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He's getting paid to eat ballpark food

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 »
The 30-Yr. Mortgage Rates Heading To All Time Lows - HULIQ
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The 30-Yr. Mortgage Rates Heading To All Time Lows

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. ...



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From Google News Search: "sine"
Sat Oct 10 17:59:51 2009

sine wave jpg
i1.trekearth.com
sine wave jpg
573px x 800px | 176.70kB

[source page]

Sine Wave

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mastinosinedie.com
thumb sine^die Cabiria breeder mastino sine^die italia 0598 jpg
64px x 100px | 4.90kB

[source page]

sine^die Cabiria sine^die Cabiria

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mastinosinedie.com
thumb Ustica del Castellaccio daughter of sine^die Sicano 75 day xox jpg
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[source page]

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From Yahoo Image Search: "sine"
Sun Jul 12 00:30:16 2009

Sondgeroth's Homework Blog: Procedures for Sine Regression
sgrothfam-hw.blogspot.com
Sondgeroth's Homework Blog: Procedures for Sine Regression

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/equati​on/graph to model a set of data: Modeling Data Using . Sine. Regression . Posted by Michael Sondgeroth at 12:17 PM ...

Racked LA: Sine NY
la.racked.com
Racked LA: Sine NY

Lisa Boosin

Mon, 15 Feb 2010 18:57:04 GM

Racked LA : Los Angeles Shopping, Stores and Retail Scene.

Palestrina - Missa sine Nomine - called 'Manuana' - ChoralNet
choralnet.org
Palestrina - Missa sine Nomine - called 'Manuana' - ChoralNet

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"
Wed Mar 3 03:46:16 2010