1. cosine love

## Definitions

### American Heritage® Dictionary of the English Language, Fourth Edition

1. n. In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
2. 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.

### Century Dictionary and Cyclopedia

1. n. In trigonom., the sine of the complement of a given angle (whose cosine it is). If from the vertex of the angle as a center a circle is described with any radius, the cosine is the ratio of the distance from the center to the foot of a perpendicular let fall from the point of intersection of one side with the circle upon the other to the radius; or, if the radius is taken as unity, the cosine is that distance itself. The cosine of the arc or angle is the sine of its complement, and vice versa. See complement. Abbreviated cos.

### Wiktionary

1. n. trigonometry 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

### GNU Webster's 1913

1. n. (Trig.) The sine of the complement of an arc or angle. See Illust. of functions.

### WordNet 3.0

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

## 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”

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

Wired: I Blame the Handheld Calculator

• “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.”

Archive 2009-04-01

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

Simon & Schuster: Chocolate & Vicodin

• “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.”

The Huffington Post: Clay Farris Naff: A Moment Of Opportunity For Muslims

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

Archive 2008-11-01

• “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?””

Simon & Schuster: The Three Furies

## Lists

These user-created lists contain the word ‘cosine’.