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cosine

cosine

3 6.7
The ratio of the side next to an angle to the longest side in a right triangle
  • noun
  • /ˈkoʊsaɪn/
  • Specialized
translation icon : coseno
  • In a right-angled triangle, the length of the side adjacent to the angle divided by the hypotenuse gives the cosine of that angle.
  • sine and cosine
  • cosine function
  • cosine transform

These two coordinate values also give you your cosine and sine.

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Examples

  • To convert aspect to a continuous linear data set, we calculated the cosine of the aspect multiplied by -100 to produce values ranging from -100 to 100.

    Academic text (2009)
  • VI dot VJ is exactly cosine Theta, OK.

  • And then this one might be cosine of five, right?

  • And we promise not to judge if you try to find the cosine of 'x' for any of the

    Blog text (13)
  • As I was saying, the cosine of an angle is defined ...

    Fiction book (2000)
  • We could write that as cosine of X over sine of X.

  • The angle between the lines, or the cosine of the angle between the lines, approximates the correlation between the variables they represent.

    Academic text (2016)
  • Definitions and use of basic trig functions: sine, cosine, tangent

    Academic text (1998)
  • The sine and cosine functions jointly describe both the amplitude and phase angle of any periodic changes that trace the phase of the moon.

    Academic text (1995)
  • The two relationships that are used most frequently are the sine rule and the cosine rule (Bostock, L. and Chandler, S., 2000).

    Blog text (29)

Synonyms

cos
vscosine
  • Specialized
1 6.3

The ratio of the side next to an angle to the longest side in a right triangle

is the full technical name for this same trigonometric ratio

Compounds

cosine curve
  • Specialized
7.4

A smooth repeating wave line that follows the equation y = a cos x

arc cosine
  • Specialized
8.8

To find the angle whose cosine equals a given number

inverse cosine
  • Specialized
8.1

An angle that has a given cosine value

Surface Forms

cosine singular
cosines plural

Etymology

Cosine comes from the Latin parts co- meaning 'with' and sinus meaning 'sine', because it was originally the 'sine' of the angle that makes 90 degrees with the one you have. So, in a right triangle the cosine tells you the length of the side next to an angle compared with the hypotenuse.