Definitions

from The American Heritage® Dictionary of the English Language, 4th Edition

  • n. In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
  • n. The abscissa at 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.

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • n. In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse. Symbol: cos

from the GNU version of the Collaborative International Dictionary of English

  • n. The sine of the complement of an arc or angle. See Illust. of functions.

from The Century Dictionary and Cyclopedia

  • n. In trigonom., the sine of the complement of a given angle (whose cosine it is).

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • n. ratio of the adjacent side to the hypotenuse of a right-angled triangle

Etymologies

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Examples

  • Measuring Relational Similarity with VSM  The measure of similrity of R1 and R2 is given by the cosine of the angle Ɵ between r1 and r2: cosine  = ∑ r1, i. r2, i = r1. r2 = r1. r2

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  • So, if the current is sinusoidal, you know the derivative of a sine to be a cosine, which is 90° out of phase.

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  • Did you know that it's possible to calculate a cosine even if you think "cosine" is a brand of nasal decongestant?

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  • Starting from algebraic operations and simple analytical functions such as sine and cosine, the algorithm randomly re-combines previous equations and parameters, and tests each set of expressions for accuracy against the empirical data, until it reaches a desired level of accuracy.

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  • He reminded me of sine and cosine and complementary angles, all of which were things I believed in and knew to be true.

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  • And so the sine and cosine are both negative multiples of their own second derivatives (in fact, the factor is – 1).

    The Volokh Conspiracy » Pi Day

  • Laboring in the House of Wisdom, al-Khwarizmi, a Persian by birth, combined the geometry of triangles and spheres with the verbal elaboration of equations to work out the first sine and cosine tables.

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  • The SFUs are optimised for sine/cosine/sqrt/exp operations, all common in scientific computing.

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  • And so the sine and cosine are both negative multiples of their own second derivatives in fact, the factor is–1.

    The Volokh Conspiracy » Pi Day

  • “Your second question is: If e to the i-x equals the cosine of x plus i times the sine of x, i being the imaginary unit, then how can you represent a point, z, in the complex plane?”

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