Sine of an angle

Sine of an angle
Sine Sine, n. [LL. sinus a sine, L. sinus bosom, used in translating the Ar. jaib, properly, bosom, but probably read by mistake (the consonants being the same) for an original j[=i]ba sine, from Skr. j[=i]va bowstring, chord of an arc, sine.] (Trig.) (a) The length of a perpendicular drawn from one extremity of an arc of a circle to the diameter drawn through the other extremity. (b) The perpendicular itself. See {Sine of angle}, below. [1913 Webster]

{Artificial sines}, logarithms of the natural sines, or logarithmic sines.

{Curve of sines}. See {Sinusoid}.

{Natural sines}, the decimals expressing the values of the sines, the radius being unity.

{Sine of an angle}, in a circle whose radius is unity, the sine of the arc that measures the angle; in a right-angled triangle, the side opposite the given angle divided by the hypotenuse. See {Trigonometrical function}, under {Function}.

{Versed sine}, that part of the diameter between the sine and the arc. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Sine — Sine, n. [LL. sinus a sine, L. sinus bosom, used in translating the Ar. jaib, properly, bosom, but probably read by mistake (the consonants being the same) for an original j[=i]ba sine, from Skr. j[=i]va bowstring, chord of an arc, sine.] (Trig.) …   The Collaborative International Dictionary of English

  • Sine — For other uses, see Sine (disambiguation). Sine Basic features Parity odd Domain ( ∞,∞) Codomain [ 1,1] P …   Wikipedia

  • Sine bar — A sine bar is a tool used to measure angles in metalworking. It consists of a hardened, precision ground body with two precision ground cylinders fixed at the ends. The distance between the centers of the cylinders is precisely controlled, and… …   Wikipedia

  • Angle — This article is about angles in geometry. For other uses, see Angle (disambiguation). Oblique angle redirects here. For the cinematographic technique, see Dutch angle. ∠, the angle symbol In geometry, an angle is the figure formed by two rays… …   Wikipedia

  • sine — I. /saɪn / (say suyn) noun Mathematics 1. a trigonometric function defined for an acute angle in a right angled triangle as the ratio of the side opposite the angle to the hypotenuse, and defined for angles of any size as the ordinate of a point… …  

  • sine — noun Etymology: Medieval Latin sinus, from Latin, curve Date: 1593 1. the trigonometric function that for an acute angle is the ratio between the leg opposite the angle when it is considered part of a right triangle and the hypotenuse 2. a… …   New Collegiate Dictionary

  • sine ratio — noun The ratio of the side of a right angled triangle opposite to a specified angle to the hypotenuse; when expressed as a real number between 0 and 1 it defines the sine of the angle …   Wiktionary

  • sine — [saın] n technical [Date: 1500 1600; : Medieval Latin; Origin: sinus, from Latin; SINUS] the ↑fraction calculated for an angle by dividing the length of the side opposite it in a ↑triangle that has a ↑right angle, by the length of the the side… …   Dictionary of contemporary English

  • sine — sine1 [sīn] n. [ML sinus (< L, a bend, curve, hanging fold of a toga), used as transl. of Ar jaib, sine, bosom of a garment] Trigonometry the reciprocal of the cosecant; specif., a) the ratio of the opposite side of a given acute angle in a… …   English World dictionary

  • sine — [ saın ] noun count TECHNICAL in a RIGHT TRIANGLE, the measurement of an ACUTE angle that is equal to the length of the side that is opposite the angle divided by the length of the HYPOTENUSE …   Usage of the words and phrases in modern English

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