Difference between revisions of "Cosine"

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(Cosine Graph)
(misleading - the graph shows more than a full period)
 
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'''Cosine''' is a [[trigonometric function]] describing the [[ratio]] of the adjacent side to the [[hypotenuse]] in a [[right triangle]]. It is often abbreviated ''cos''.
 
'''Cosine''' is a [[trigonometric function]] describing the [[ratio]] of the adjacent side to the [[hypotenuse]] in a [[right triangle]]. It is often abbreviated ''cos''.
  
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<math>\cos \theta = \sin \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\sec \theta}\,</math>
 
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==Cosine Graph==
 
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The basic cosine graph is as follow:
 
 
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{| style="background:none"
 
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|[[Image:Cosine-pi.jpg|350px]]
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|[[Image:Cosine-pi.jpg]]
 
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That would be a full period of the graph - as 2π [[radians]] is equivalent to one circle. The graph continues in that pattern.
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2π [[radians]] is equivalent to one circle. The graph continues in that pattern.
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==Relation to secant==
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<math>\cos \theta = \sin \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\sec \theta}\,</math>
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[[Category:Trigonometry]]
 
[[Category:Trigonometry]]

Latest revision as of 12:19, December 8, 2008

Cosine is a trigonometric function describing the ratio of the adjacent side to the hypotenuse in a right triangle. It is often abbreviated cos.

x values y values
0 1
π/2 0
π -1
3π/2 0
2π 1
Cosine-pi.jpg

2π radians is equivalent to one circle. The graph continues in that pattern.

Relation to secant

<math>\cos \theta = \sin \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\sec \theta}\,</math>