SINE

sine, sin

(noun) ratio of the length of the side opposite the given angle to the length of the hypotenuse of a right-angled triangle

Source: WordNet® 3.1

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Noun

SINE (plural SINEs)

(genetics) Acronym of short interspersed element, a type of retrotransposon in genomics.

Acronym of selective inhibitors of nuclear export, a drug for epithelioid sarcoma.

Anagrams

• EINs, NIEs, Nies, sein, sien, snie

Etymology

Noun

sine (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 positive x-axis.

• The sum of the real or complex power series

     $\backslash (\backslash sum\_\{n=1\}^\backslash infty\{\{(-1)^\{n-1\}\}\backslash over\{(2n-1)!\}\}x^\{2n-1\}\; =\; x\; -\; \{1\backslash over\; 6\}\; x^3\; +\; \{1\backslash over\; 120\}\; x^5\; -\; \{1\backslash over\; 5040\}\; x^7\; +\; ...\backslash )$

where x is in radians.

Synonyms

• Symbol: sin

Anagrams

• EINs, NIEs, Nies, sein, sien, snie

Source: Wiktionary

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Sine, n. Etym: [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 jiba sine, from Skr. jiva 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. 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.

Si"ne, prep. Etym: [L.]

Definition: Without.

Source: Webster’s Unabridged Dictionary 1913 Edition

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