Definition of Sine of an angle. Meaning of Sine of an angle. Synonyms of Sine of an angle

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Definition of 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. 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.

Meaning of Sine of an angle from wikipedia

- mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle:...
- Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to...
- trigonometric functions, related to right-angle triangles, define them only for acute angles. To extend the sine and cosine functions to functions whose...
- then the top edge of the bar will be tilted by the same amount forming an angle that may be calculated by the application of the sine rule. The hypotenuse...
- an angle or plane angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Two...
- formulated by Ernst Abbe in the context of microscopes. The Abbe sine condition says that the sine of the object-space angle α o {\textstyle \alpha _{\mathrm...
- Euclid's Elements), forming an isosceles triangle. More generally, the law of sines states that the sine of each angle of a triangle is proportional to...
- they subtend. Similarly the diagonals are equal to the sine of the sum of whichever pair of angles they subtend. We may then write Ptolemy's Theorem in...
- In geometry, the polar sine generalizes the sine function of angle to the vertex angle of a polytope. It is denoted by psin. Let v1, ..., vn (n ≥ 1) be...
- the cosine of pressure angle. The one which exerts thrust (perpendicular to the pitch line) is proportional to the sine of pressure angle. So it is advised...