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cosine

American  
[koh-sahyn] / ˈkoʊ saɪn /

noun

  1. Trigonometry.

    1. (in a right triangle) the ratio of the side adjacent to a given angle to the hypotenuse.

    2. the sine of the complement of a given angle or arc. cos

  2. Mathematics. (of a real or complex numberx ) the function cos x defined by the infinite series 1 − (x 2 /2!) + (x 4 /4!) − + …, where ! denotes factorial. cos


cosine British  
/ ˈkəʊˌsaɪn /

noun

  1.  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

"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

cosine Scientific  
/ kōsīn′ /
  1. The ratio of the length of the side adjacent to an acute angle of a right triangle to the length of the hypotenuse.

  2. 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.

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


Etymology

Origin of cosine

1625–35; < New Latin cosinus. See co-, sine ( def. )

Example Sentences

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From Scientific American • Aug. 17, 2023

The cosine of this angle is the length of the horizontal side divided by the hypotenuse.

From Scientific American • Apr. 10, 2023

These functions, such as the sine and cosine, are defined using right triangles.

From Scientific American • Apr. 10, 2023

The value of the sine or cosine function of is its value at radians.

From Textbooks • Dec. 1, 2021

The program took control of Parzival’s movements, synching them up with the music, and all four of my limbs were transformed into undulating cosine waves.

From "Ready Player One: A Novel" by Ernest Cline