# sine

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Related to Sines: Law of sines

## sine

(sīn)*n.*

*Abbr.*

**sin**

**1.**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.

**2.**In a right triangle, the ratio of the length of the side opposite an acute angle to the length of the hypotenuse.

[Medieval Latin sinus (mistranslation of Arabic jayb,

*sine*, as if jayb,*fold in a garment*), from Latin,*curve, fold*.]## sine

(saɪn)(of an angle)

*n* (Mathematics)

**a.**a trigonometric function that in a right-angled triangle is the ratio of the length of the opposite side to that of the hypotenuse

**b.**a function that in a circle centred at the origin of a Cartesian coordinate system is the ratio of the ordinate of a point on the circumference to the radius of the circle

[C16: from Latin

*sinus*a bend; in New Latin,*sinus*was mistaken as a translation of Arabic*jiba*sine (from Sanskrit*jīva,*literally: bowstring) because of confusion with Arabic*jaib*curve]## sine

(ˈsaɪnɪ)*prep*

(Law) (esp in Latin phrases or legal terms) lacking; without

## sine

(saɪn)*n.*

a fundamental trigonometric function that, in a right triangle, is expressed as the ratio of the length of the side opposite an acute angle to the length of the hypotenuse.

*Abbr.:*sin[1585–95; < New Latin, Latin

*sinus*curve, fold, pocket, translation of Arabic*jayb*literally, pocket]## sine

(sīn) The ratio of the length of the side opposite an acute angle in a right triangle to the length of the hypotenuse.

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Noun | 1. | sine - ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled trianglecircular function, trigonometric function - function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle |

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