Cosine

Pronunciation: /ˈkoʊ saɪn/ ?

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Manipulative 1: Cosine. Created with GeoGebra.

In right triangle trigonometry, the Cosine is defined to be equal to the length of the side adjacent to the angle divided by the length of the hypotenuse.[1] In manipulative 1, click on the blue points and drag them to change the figure.

On the unit circle, cosine is the directed distance of a point on the unit circle from the y-axis. Click on the blue point in manipulative 1 and drag it to change the figure.

The inverse of the cosine function is the arccosine function. The arccosine function can be written as arccos() or cos^(-1)().

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Manipulative 2: Unit circle. Created with GeoGebra.

References

  1. cosine. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=cosine&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. Fine, Henry B., Ph. D.. Number-System of Algebra Treated Theoretically and Historically, 2nd edition, pp 28,47. D. C. Heath & Co., Boston, U.S.A., 1907. (Accessed: 2009-12-19). http://www.archive.org/stream/thenumbersystemo17920gut/17920-pdf#page/n37/mode/1up/search/cosine.
  3. Hutton, Charles. A Course in Mathematics, Volume II, 4th edition, pp 2-3. G. & J. Robinson, 1804. (Accessed: 2010-01-21). http://www.archive.org/stream/courseofmathemat02huttrich#page/2/mode/1up/search/cosecant.

More Information

  • McAdams, David. Secant. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Secant.

Cite this article as:


Cosine. 2010-01-05. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/cosine.html.

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Revision History


2010-01-05: Expanded "References" (McAdams, David.)
2009-12-19: Added "References" (McAdams, David.)
2008-12-02: Added reference to arccosine (McAdams, David.)
2008-10-30: Changed manipulative to GeoGebra (McAdams, David.)
2008-04-30: Initial version (McAdams, David.)

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