Difference between revisions of "Tangent"

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(Undo revision 305396 by Special:Contributions/StevenM - redundant and adds nothing and did I mention redundant?)
(better definition - I got a 760 in math, so please listen to me :-)
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In [[trigonometry]], the '''tangent''' is defined as a relationship between the [[sine]] and [[cosine]] functions:
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In [[trigonometry]], the '''tangent''' of an angle in a [[right triangle]] is defined as the ratio of the opposite and adjacent sides.
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We can also see a relationship between the [[sine]] and [[cosine]] functions:
  
 
<math>\tan \theta = \frac{\sin \theta}{\cos \theta} = \cot \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\cot \theta} \,</math>
 
<math>\tan \theta = \frac{\sin \theta}{\cos \theta} = \cot \left(\frac{\pi}{2} - \theta \right) = \frac{1}{\cot \theta} \,</math>

Revision as of 23:16, October 1, 2007

In trigonometry, the tangent of an angle in a right triangle is defined as the ratio of the opposite and adjacent sides.

We can also see a relationship between the sine and cosine functions:

Lines which intersect a circle or curve at only one, unique point are said to be tangent to that circle or curve.