COSINE

cosine, cos

(noun) ratio of the adjacent side to the hypotenuse of a right-angled triangle

Source: WordNet® 3.1

Etymology

Noun

cosine (plural cosines)

(trigonometry) In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse. Symbol: cos

Usage notes

In various branches of mathematics, the cosine of an angle is determined in various ways, including the following

• The x-coordinate of the point on the unit circle at the given anticlockwise angle from the x-axis.

• The sum of the real or complex power series

     $\backslash (\backslash sum\_\{n=0\}^\backslash infty\; \backslash frac\{(-1)^n\; x^\{2n\}\}\{(2n)!\}\; =\; 1\; -\; \{x^2\; \backslash over\; 2\}\; +\; \{x^4\; \backslash over\; 24\}\; -\; \{x^6\; \backslash over\; 720\}\; +\; \{x^8\; \backslash over\; 40320\}\; -\; \backslash cdots\; \backslash )$

where x is in radians.

Anagrams

• Enciso, Senoic, coines, conies, oscine

Source: Wiktionary

Co"sine (k"sn), n. Etym: [For co. sinus, an abbrev. of L. complementi sinus.] (Trig.)

Definition: The sine of the complement of an arc or angle. See Illust. of Functions.

Source: Webster’s Unabridged Dictionary 1913 Edition

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