Sine (redirected from Sines)

sine: see trigonometry.

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sine

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.

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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

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sine [sīn]

(mathematics)

The sine of an angleAin a right triangle with hypotenuse of lengthcgiven by the ratioa/c, whereais the length of the side oppositeA; more generally, the sine function assigns to any real numberAthe ordinate of the point on the unit circle obtained by moving from (1,0) counterclockwiseAunits along the circle, or clockwise |A| units ifAis less than 0. Denoted sinA.

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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.