## sine

[sīn]

noun

the reciprocal of the cosecant; specif.,

- the ratio of the opposite side of a given acute angle in a right triangle to the hypotenuse
- an equivalent, positive or negative ratio for certain related angles (Ex.: the sine of 57° or 123° is .8387, of 237° or 303° is -.8387) or real numbers representing radians (Ex.: the sine of .9948 radians (57°) is .8387)

Origin of sine

Medieval Latin*sinus*(; from Classical Latin a bend, curve, hanging fold of a toga), used as translated, translation of Arabic

*jaib*, sine, bosom of a garment

without

Origin of sine

Classical Latin## sine

noun

*Abbr.*

**sin**

- The ordinate 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. - In a right triangle, the ratio of the length of the side opposite an acute angle to the length of the hypotenuse.

Origin of sine

Medieval Latin*sinus*(mistranslation of Arabic

*jayb*,

*sine*, as if

*jayb*,

*fold in a garment*), from Latin,

*curve, fold*.

**sine**

sin &thgr; =

ac

## sine

Noun

(*plural* sines)

- (trigonometry, mathematics) In a right triangle, the ratio of the length of the side opposite an angle to the length of the hypotenuse.

Usage notes

In various branches of mathematics, the sine of an angle is determined in various ways, including the following:

- The
*y*-coordinate of the point on the unit circle at the given anticlockwise angle from the*x*-axis. - The sum of the real or complex power series where
*x*is in radians.

Anagrams

- sien

## sine - Computer Definition

In a right triangle, the ratio of the side opposite an acute angle (less than 90 degrees) and the hypotenuse. The cosine is the ratio between the adjacent side and the hypotenuse. These angular functions are used to compute circular movements.