# sine

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## sine:

see trigonometry**trigonometry**

[Gr.,=measurement of triangles], a specialized area of geometry concerned with the properties of and relations among the parts of a triangle. Spherical trigonometry is concerned with the study of triangles on the surface of a sphere rather than in the plane; it is

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## Sine

(sin), a trigonometric function. The sine of an acute angle in a right triangle is the ratio of the length of the leg opposite the angle to the length of the hypotenuse. The Indian mathematicians used the word *jiva*, whose literal meaning is “bowstring,” for the sine. The Arabs rendered *jiva* as *jiba* and subsequently used the reading *jaib*, which is a common word in Arabic meaning “curve,” “bosom,” or “fold” and corresponding to the Latin word *sinus*.

## sine

[sīn] (mathematics)

The sine of an angle

*A*in a right triangle with hypotenuse of length*c*given by the ratio*a*/*c*, where*a*is the length of the side opposite*A*; more generally, the sine function assigns to any real number*A*the ordinate of the point on the unit circle obtained by moving from (1,0) counterclockwise*A*units along the circle, or clockwise |*A*| units if*A*is less than 0. Denoted sin*A*.## sine

*of an angle*

**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