# cosine

## cosine

[koh-sahyn]
noun
1.
Trigonometry.
a.
(in a right triangle) the ratio of the side adjacent to a given angle to the hypotenuse.
b.
the sine of the complement of a given angle or arc. Abbreviation: cos
2.
Mathematics. (of a real or complex number x ) the function cos x defined by the infinite series 1 − (x 2 /2!) + (x 4 /4!) − + …, where ! denotes factorial. Abbreviation: cos Compare sine ( def 3 ), factorial ( def 1 ).

Origin:
1625–35; < Neo-Latin cosinus. See co-, sine1

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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Collins
World English Dictionary
 cosine (ˈkəʊˌsaɪn) —n cos a trigonometric function that in a right-angled triangle is the ratio of the length of the adjacent side to that of the hypotenuse; the sine of the complement [C17: from New Latin cosinus; see co-, sine1]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

cosine
1630s, from co- + sine.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
 cosine   (kō'sīn')  Pronunciation Key  The ratio of the length of the side adjacent to an acute angle of a right triangle to the length of the hypotenuse. The abscissa 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 cosine of an angle whose measure in radians is equal to x.
The American Heritage® Science Dictionary
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FOLDOC
Computing Dictionary

### COSINE definition

Cooperation for Open Systems Interconnection Networking in Europe. A EUREKA project.

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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Example sentences
From a mathematical point of view, correlation is the cosine of an angle
between two data vectors.
Two functions that meet those requirements are the sine and cosine functions.
The cosine and sine functions cause periodic nulls, unless they are cancelled
out by the term in the denominator.
Cosine response characteristics of radiometric and photometric sensors.
Image for Cosine
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