Nounsine (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, tabulated here with equations that relate them to one another. Especially with 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 sine rule in a trig equation? Q. LIke the question says, what is the Sine rule for a trig equation? I know the Cosine rule of (a^2+c^2-b^2) / 2ac I just can't remember the sine rule. Thanks! Asked by scdesperado15 - Sat Jul 18 20:24:57 2009 - - 2 Answers - 0 Comments A. The sine rule for a trigonometric equation defines the ratio of the Sine of the angle with respect to its included sign and vice versa depending at most on the number of properties in the obtuse triangle. If an obtuse triangle has two sides with an included angle as in SSA or ASA(Angle-Side-Angle), or AAS(Angle-Angle-Side), then the Law of Sines would be needed to find either the Angle of one of the sides or vice versa. Thus, the sine rule for trigonometric equations is defined formally as SINA / a = SINB / b = SINC / c || a / SINA = b / SINB = c / SINC. If the Sine of the one of the angles are missing, then the first formula would be necessary to find the respective SIN(Angle). Conversely, if the side of one of the included angles is… [cont.] Answered by James C - Sat Jul 18 22:26:03 2009 What is a real life application of a sine curve besides music? Q. I am doing a calculus project and the assignment is to find a real life application of a sine curve. However, everyone does music so I am looking for something original. Any ideas? how about anything sports related? Asked by sportplayer555 - Sun Mar 1 10:30:01 2009 - - 4 Answers - 0 Comments A. pulling a spring and releasing it a pendulum clock that starts when its at rest Answered by x.b.r.u.n.e.t.t.e.x - Sun Mar 1 10:35:48 2009 How do you find the second set of angles for a triangle when you are doing cosine/sine?
Q. I know the side side angle measures of a triangle, and I am using sine and cosine to find the other side and other 2 angles. I know there are 2 solutions because b(sinA) A. If you know angle A and sides a and b, first use the sine rule: a / sin(A) = b / sin(B) to get sin(B). Unless sin(B) = 1, in which case B = 90deg, there will be two values for angle B. When you have found the acute one, subtract it from 180deg. to get the obtuse one. This is based on the fact that sin(x) = sin(180deg - x) as the sine is positive in quadrants 1 and 2. You can then find the third angle in each case using the fact that the sum of the angles of the triangle is 180 deg. For each of your two triangles, you can then find the third side using either the sine rule again or the cosine rule. Answered by unknown - Mon Dec 17 19:00:26 2007 From Yahoo Answer Search: "sine"  news.google.com San Francisco Chronicle ... Ovid) with the occasional Sine Qua Non thrown in. Once again, half-bottles are in ready supply. But the needle clearly has shifted toward Italy. ... and more » news.google.com Auburn Citizen Names of direct descendants are Jones, Spurr, Tyler, Porter, Jakway, Wilson and Sine . Many others are related through marriage. The late Samuel and Minerva ... news.google.com Live-PR.com (Pressemitteilung) Part chemistry part magic - that's why actors Karl Sine and Heather Pattengale were the perfect choices for the roles of Charlie and Mary in Rosebud's ... From Google News Search: "sine"  investing.calsci.com 484px x 617px | 13.70kB [source page] that these curves are price curves for a few stocks Of course real stock price charts are a lot more jagged and random than these curves but these curves will do for a little while There are four curves above colored blue 1 pink 2 yellow 3 and green 4 Let s look at them for a while and see what stands out The first thing we notice is that the blue and From Yahoo Image Search: "sine"  sweetandsound.co.uk admin Fri, 07 May 2010 08:53:13 GM Sine. TV Ident Contest. . Sine. TV are looking for new idents for their shows. They cover a wide range of content in their shows and welcome all sorts of creativity. for more info go to spinetv.net/idents. ...  powerpack.2bmall.com admin Wed, 19 May 2010 10:10:28 GM Ideal for sensitive electronicsEfficiently powers motorsOperates dimmers and speed controlsOverload, overheat and low battery protectionWireless remote.  kerutherford.blogspot.com Kevin Rutherford Sat, 08 May 2010 08:59:00 GM Palma Non . Sine. Pulvere. Saturday, May 8, 2010. Muse to release new single from Twilight film. "Neutron Star Collision." Sounds spacey, yes? That's not much of a surprise at all if you're a Muse fan like myself; you've gotten songs such ... From Google Blog Search: "sine" |
