# sine

Trigonometry.

(in a right triangle) the ratio of the side opposite a given acute angle to the hypotenuse.

(of an angle) a trigonometric function equal to the ratio of the ordinate of the end point of the arc to the radius vector of this end point, the origin being at the center of the circle on which the arc lies and the initial point of the arc being on the x-axis. Abbreviation: sin

Geometry. (originally) a perpendicular line drawn from one extremity of an arc of a circle to the diameter that passes through its other extremity.

Mathematics. (of a real or complex number x) the function sin x defined by the infinite series x − (x3/3!) + (x5/5!) − + …, where ! denotes factorial.: Compare cosine (def. 2), factorial (def. 1).

## Origin of sine

^{1}

## Words Nearby sine

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use sine in a sentence

Music can be represented as a bunch of

*sine*waves, and each*sine*wave has its own particular frequency.In contrast, some inexpensive models output a simulated

*sine*wave form, which can be problematic for some higher-end gaming laptops and audio gear.The best battery backups to keep your gear up and running | Terry Sullivan | September 10, 2021 | Popular-ScienceThat accumulation of identities is already a

*sine*qua non when speaking of Hispanics, like Zimmerman.George Zimmerman, Hispanics, and the Messy Nature of American Identity | Ilan Stavans | April 6, 2012 | THE DAILY BEASTIn the land of the industrial revolution, foreign ownership and management is the

*sine*qua non of industrial success.This unsmoked, wet-cured ham is the

*sine*qua non of Parisian butcher shops: a light, ephemeral meat, sweet but umami.

It teaches you to take your time, or as the Germans call it, it gives you "Ruhe (repose)," the grand

*sine*qua non!Music-Study in Germany | Amy FayVnica hc adest D. Potrincurtij familia,

*sine*feminis capita sumus viginti.Multa erat in Nov Franci messis, ubi incol pene belluarum more

*sine*Numinis cognitione vivebant.Habemus hic Petronium integrum, quem vidi meis oculis non

*sine*admiratione.A Philosophical Dictionary, Volume 1 (of 10) | Franois-Marie Arouet (AKA Voltaire)O pulerae

*sine*luxes aedes, vitaeque decore Splendida paupertas ingenuusque pudor!Julian Home | Dean Frederic W. Farrar

## British Dictionary definitions for sine (1 of 2)

^{1}

/ (saɪn) /

: Abbreviation: sin

a trigonometric function that in a right-angled triangle is the ratio of the length of the opposite side to that of the hypotenuse

a function that in a circle centred at the origin of a Cartesian coordinate system is the ratio of the ordinate of a point on the circumference to the radius of the circle

## Origin of sine

^{1}

## British Dictionary definitions for sine (2 of 2)

^{2}

/ (ˈsaɪnɪ) /

(esp in Latin phrases or legal terms) lacking; without

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for sine

[ sīn ]

The ratio of the length of the side opposite an acute angle in a right triangle to the length of the hypotenuse.

The ordinate of the endpoint of an arc of a unit circle centered at the origin of a Cartesian coordinate system, the arc being of length x and measured counterclockwise from the point (1, 0) if x is positive or clockwise if x is negative.

A function of a number x, equal to the sine of an angle whose measure in radians is equal to x.

The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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